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{ "name": "lemma_sameas_pairs_provenance", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 129, "unconditional": true, "names_shipping_functions": [ "sameas_pairs" ], "names_declarative_relations": [ "pairs_licensed" ], "declarative_relations_from": [ "OWL.RL.Refinement" ] }, { "name": "owl_rule_sameAs_symmetry_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 171, "unconditional": true, "names_shipping_functions": [ "owl_rule_sameAs_symmetry" ], "names_declarative_relations": [ "eq_sym_licensed" ], "declarative_relations_from": [ "OWL.RL.Refinement" ] }, { "name": "lemma_collect_nodes_provenance", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 243, "unconditional": true, "names_shipping_functions": [ "collect_iri_or_bnode_terms" ], "names_declarative_relations": [ "nodes_licensed" ], "declarative_relations_from": [ "OWL.RL.Refinement" ] }, { "name": "owl_rule_sameAs_reflexivity_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 274, "unconditional": true, "names_shipping_functions": [ "owl_rule_sameAs_reflexivity" ], "names_declarative_relations": [ "eq_ref_licensed" ], "declarative_relations_from": [ "OWL.RL.Refinement" ] }, { "name": "owl_rule_symmetric_property_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 361, "unconditional": true, "names_shipping_functions": [ "owl_rule_symmetric_property" ], "names_declarative_relations": [ "prp_symp_licensed" ], "declarative_relations_from": [ "OWL.RL.Refinement" ] }, { "name": "owl_rule_equivalent_class_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 469, "unconditional": true, "names_shipping_functions": [ "owl_rule_equivalent_class" ], "names_declarative_relations": [ "scm_eqc1_licensed" ], "declarative_relations_from": [ "OWL.RL.Refinement" ] }, { "name": "owl_rule_equivalent_property_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 568, "unconditional": true, "names_shipping_functions": [ "owl_rule_equivalent_property" ], "names_declarative_relations": [ "scm_eqp1_licensed" ], "declarative_relations_from": [ "OWL.RL.Refinement" ] }, { "name": "owl_rule_inverse_of_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 682, "unconditional": true, "names_shipping_functions": [ "owl_rule_inverse_of" ], "names_declarative_relations": [ "inv_licensed" ], "declarative_relations_from": [ "OWL.RL.Refinement" ] }, { "name": "lemma_no_disjoint_union_elim", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2954, "unconditional": false, "names_shipping_functions": [ "owl_disjointUnionOf_iri" ], "names_declarative_relations": [ "no_disjoint_union" ], "declarative_relations_from": [ "OWL.RL.Refinement" ] }, { "name": "lemma_collect_haskey_axioms_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3365, "unconditional": true, "names_shipping_functions": [ "collect_haskey_axioms" ], "names_declarative_relations": [ "haskey_axioms_licensed" ], "declarative_relations_from": [ "OWL.RL.Refinement" ] }, { "name": "lemma_members_of_class_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3424, "unconditional": true, "names_shipping_functions": [ "members_of_class" ], "names_declarative_relations": [ "class_members_licensed" ], "declarative_relations_from": [ "OWL.RL.Refinement" ] } ], "w3c_refinement_theorems": [ { "name": "theorem_sameAs_symmetry_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 213, "unconditional": false, "names_shipping_functions": [ "owl_rule_sameAs_symmetry" ], "names_declarative_relations": [ "eq_sym_derives" ] }, { "name": "theorem_sameAs_reflexivity_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 313, "unconditional": false, "names_shipping_functions": [ "owl_rule_sameAs_reflexivity" ], "names_declarative_relations": [ "eq_ref_derives" ] }, { "name": "theorem_symmetric_property_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 423, "unconditional": false, "names_shipping_functions": [ "owl_rule_symmetric_property" ], "names_declarative_relations": [ "prp_symp_derives" ] }, { "name": "theorem_equivalent_class_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 529, "unconditional": false, "names_shipping_functions": [ "owl_rule_equivalent_class" ], "names_declarative_relations": [ "scm_eqc1_derives" ] }, { "name": "theorem_equivalent_property_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 614, "unconditional": false, "names_shipping_functions": [ "owl_rule_equivalent_property" ], "names_declarative_relations": [ "scm_eqp1_derives" ] }, { "name": "theorem_inverse_of_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 756, "unconditional": false, "names_shipping_functions": [ "owl_rule_inverse_of" ], "names_declarative_relations": [ "prp_inv1_derives", "prp_inv2_derives" ] }, { "name": "owl_rule_sameAs_transitivity_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 830, "unconditional": false, "names_shipping_functions": [ "owl_rule_sameAs_transitivity" ], "names_declarative_relations": [ "eq_trans_licensed", "ig_wf_sp" ] }, { "name": "theorem_sameAs_transitivity_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 893, "unconditional": false, "names_shipping_functions": [ "owl_rule_sameAs_transitivity" ], "names_declarative_relations": [ "eq_trans_derives", "ig_wf_sp" ] }, { "name": "owl_rule_transitive_property_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 944, "unconditional": false, "names_shipping_functions": [ "owl_rule_transitive_property" ], "names_declarative_relations": [ "ig_wf_sp", "prp_trp_licensed" ] }, { "name": "theorem_transitive_property_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1044, "unconditional": false, "names_shipping_functions": [ "owl_rule_transitive_property" ], "names_declarative_relations": [ "ig_wf_sp", "prp_trp_derives" ] }, { "name": "lemma_scm_eqc2_emission_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1124, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "owl_equivalentClass", "rdfs_subClassOf", "term_is_iri" ], "names_declarative_relations": [ "ig_wf_sp", "scm_eqc2_derives" ] }, { "name": "owl_rule_scm_eqc2_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1183, "unconditional": false, "names_shipping_functions": [ "owl_rule_scm_eqc2" ], "names_declarative_relations": [ "ig_wf_sp", "scm_eqc2_licensed" ] }, { "name": "theorem_scm_eqc2_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1228, "unconditional": false, "names_shipping_functions": [ "owl_rule_scm_eqc2" ], "names_declarative_relations": [ "ig_wf_sp", "scm_eqc2_derives" ] }, { "name": "owl_rule_sameAs_replace_subject_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1297, "unconditional": false, "names_shipping_functions": [ "owl_rule_sameAs_replace_subject" ], "names_declarative_relations": [ "eq_rep_s_licensed", "ig_wf_subj" ] }, { "name": "theorem_sameAs_replace_subject_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1355, "unconditional": false, "names_shipping_functions": [ "owl_rule_sameAs_replace_subject" ], "names_declarative_relations": [ "eq_rep_s_derives", "ig_wf_subj" ] }, { "name": "owl_rule_sameAs_replace_object_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1440, "unconditional": false, "names_shipping_functions": [ "owl_rule_sameAs_replace_object" ], "names_declarative_relations": [ "eq_rep_o_licensed", "ig_wf_obj" ] }, { "name": "theorem_sameAs_replace_object_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1503, "unconditional": false, "names_shipping_functions": [ "owl_rule_sameAs_replace_object" ], "names_declarative_relations": [ "eq_rep_o_derives", "ig_wf_obj" ] }, { "name": "owl_rule_sameAs_replace_predicate_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1569, "unconditional": false, "names_shipping_functions": [ "owl_rule_sameAs_replace_predicate" ], "names_declarative_relations": [ "eq_rep_p_licensed", "ig_wf_pred" ] }, { "name": "theorem_sameAs_replace_predicate_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1635, "unconditional": false, "names_shipping_functions": [ "owl_rule_sameAs_replace_predicate" ], "names_declarative_relations": [ "eq_rep_p_derives", "ig_wf_pred" ] }, { "name": "lemma_scm_eqp2_emission_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1699, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "owl_equivalentProperty", "rdfs_subPropertyOf", "term_is_iri" ], "names_declarative_relations": [ "ig_wf_sp", "scm_eqp2_derives" ] }, { "name": "owl_rule_scm_eqp2_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1758, "unconditional": false, "names_shipping_functions": [ "owl_rule_scm_eqp2" ], "names_declarative_relations": [ "ig_wf_sp", "scm_eqp2_licensed" ] }, { "name": "theorem_scm_eqp2_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1803, "unconditional": false, "names_shipping_functions": [ "owl_rule_scm_eqp2" ], "names_declarative_relations": [ "ig_wf_sp", "scm_eqp2_derives" ] }, { "name": "owl_rule_scm_dom2_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1891, "unconditional": false, "names_shipping_functions": [ "owl_rule_scm_dom2" ], "names_declarative_relations": [ "ig_wf_sp", "scm_dom1_licensed" ] }, { "name": "theorem_scm_dom2_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1984, "unconditional": false, "names_shipping_functions": [ "owl_rule_scm_dom2" ], "names_declarative_relations": [ "ig_wf_sp", "scm_dom1_derives" ] }, { "name": "owl_rule_scm_rng2_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2026, "unconditional": false, "names_shipping_functions": [ "owl_rule_scm_rng2" ], "names_declarative_relations": [ "ig_wf_sp", "scm_rng1_licensed" ] }, { "name": "theorem_scm_rng2_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2109, "unconditional": false, "names_shipping_functions": [ "owl_rule_scm_rng2" ], "names_declarative_relations": [ "ig_wf_sp", "scm_rng1_derives" ] }, { "name": "owl_rule_subprop_domain_range_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2201, "unconditional": false, "names_shipping_functions": [ "owl_rule_subprop_domain_range" ], "names_declarative_relations": [ "ig_wf_sp", "subprop_domain_range_licensed" ] }, { "name": "theorem_subprop_domain_range_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2349, "unconditional": false, "names_shipping_functions": [ "owl_rule_subprop_domain_range" ], "names_declarative_relations": [ "ig_wf_sp", "scm_dom2_derives", "scm_rng2_derives" ] }, { "name": "lemma_decode_iri_list_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2406, "unconditional": false, "names_shipping_functions": [ "decode_iri_list" ], "names_declarative_relations": [ "ig_wf_sp", "owl_list_denotes" ] }, { "name": "owl_rule_cls_oneof_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2498, "unconditional": false, "names_shipping_functions": [ "owl_rule_cls_oneof" ], "names_declarative_relations": [ "cls_oo_licensed", "ig_wf_sp" ] }, { "name": "theorem_cls_oneof_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2551, "unconditional": false, "names_shipping_functions": [ "owl_rule_cls_oneof" ], "names_declarative_relations": [ "cls_oo_derives", "ig_wf_sp" ] }, { "name": "owl_rule_cls_int1_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2736, "unconditional": false, "names_shipping_functions": [ "owl_rule_cls_int1" ], "names_declarative_relations": [ "cls_int2_licensed", "ig_wf_po_spec", "ig_wf_sp" ] }, { "name": "theorem_cls_int1_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2800, "unconditional": false, "names_shipping_functions": [ "owl_rule_cls_int1" ], "names_declarative_relations": [ "cls_int2_derives", "ig_wf_po_spec", "ig_wf_sp" ] }, { "name": "owl_rule_cls_uni_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3112, "unconditional": false, "names_shipping_functions": [ "owl_rule_cls_uni" ], "names_declarative_relations": [ "cls_uni_licensed", "ig_wf_sp" ] }, { "name": "theorem_cls_uni_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3211, "unconditional": false, "names_shipping_functions": [ "owl_rule_cls_uni" ], "names_declarative_relations": [ "cls_disjoint_union_ext_derives", "ig_wf_sp", "scm_uni_derives" ] }, { "name": "lemma_all_keys_match_shares_approx", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3522, "unconditional": false, "names_shipping_functions": [ "all_keys_match" ], "names_declarative_relations": [ "ig_wf_sp", "shares_key_values_approx" ] }, { "name": "owl_rule_prp_key_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3617, "unconditional": false, "names_shipping_functions": [ "owl_rule_prp_key" ], "names_declarative_relations": [ "ig_wf_sp", "prp_key_licensed" ] }, { "name": "theorem_prp_key_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3705, "unconditional": false, "names_shipping_functions": [ "owl_rule_prp_key" ], "names_declarative_relations": [ "ig_wf_sp", "prp_key_derives_approx" ] }, { "name": "lemma_prp_fp_derives_intro", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3798, "unconditional": false, "names_shipping_functions": [ "owl_sameAs" ], "names_declarative_relations": [ "fp_from_decl", "prp_fp_derives" ] }, { "name": "owl_rule_functional_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3809, "unconditional": false, "names_shipping_functions": [ "owl_rule_functional" ], "names_declarative_relations": [ "ig_wf_sp", "prp_fp_licensed" ] }, { "name": "theorem_functional_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3892, "unconditional": false, "names_shipping_functions": [ "owl_rule_functional" ], "names_declarative_relations": [ "ig_wf_sp", "prp_fp_derives" ] }, { "name": "lemma_prp_ifp_derives_intro", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3989, "unconditional": false, "names_shipping_functions": [ "owl_sameAs" ], "names_declarative_relations": [ "ifp_from_decl", "prp_ifp_derives" ] }, { "name": "owl_rule_inverse_functional_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4078, "unconditional": false, "names_shipping_functions": [ "owl_rule_inverse_functional" ], "names_declarative_relations": [ "graph_literal_match_exact", "ig_wf_po", "ig_wf_pred", "prp_ifp_licensed" ] }, { "name": "theorem_inverse_functional_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4147, "unconditional": false, "names_shipping_functions": [ "owl_rule_inverse_functional" ], "names_declarative_relations": [ "graph_literal_match_exact", "ig_wf_po", "ig_wf_pred", "prp_ifp_derives" ] }, { "name": "lemma_cls_hv1_row_intro", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4247, "unconditional": false, "names_shipping_functions": [ "find_subjects_indexed", "owl_hasValue_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cls_hv1_derives", "ig_wf_po" ] }, { "name": "lemma_cls_hv1_members_fold", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4282, "unconditional": false, "names_shipping_functions": [ "find_subjects_indexed", "owl_cls_hv1_emit", "owl_hasValue_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cls_hv1_licensed", "ig_wf_po" ] }, { "name": "lemma_cls_hv1_mid_step", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4313, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "owl_cls_hv1_mid", "owl_hasValue_iri", "owl_onProperty_iri" ], "names_declarative_relations": [ "cls_hv1_licensed", "ig_wf_po", "ig_wf_sp" ] }, { "name": "owl_rule_cls_hv1_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4344, "unconditional": false, "names_shipping_functions": [ "owl_rule_cls_hv1" ], "names_declarative_relations": [ "cls_hv1_licensed", "ig_wf_po", "ig_wf_sp" ] }, { "name": "theorem_cls_hv1_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4374, "unconditional": false, "names_shipping_functions": [ "owl_rule_cls_hv1" ], "names_declarative_relations": [ "cls_hv1_derives", "ig_wf_po", "ig_wf_sp" ] }, { "name": "owl_rule_cls_hv2_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4484, "unconditional": false, "names_shipping_functions": [ "owl_rule_cls_hv2" ], "names_declarative_relations": [ "cls_hv2_licensed", "ig_wf_po", "ig_wf_pred", "ig_wf_sp" ] }, { "name": "theorem_cls_hv2_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4596, "unconditional": false, "names_shipping_functions": [ "owl_rule_cls_hv2" ], "names_declarative_relations": [ "cls_hv2_derives_approx", "ig_wf_po", "ig_wf_pred", "ig_wf_sp" ] }, { "name": "lemma_decode_chain_pair_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4671, "unconditional": false, "names_shipping_functions": [ "decode_chain_pair" ], "names_declarative_relations": [ "ig_wf_sp", "owl_list_denotes" ] }, { "name": "lemma_prp_spo2_row_intro", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4767, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "owl_propertyChainAxiom" ], "names_declarative_relations": [ "ig_wf_sp", "owl_list_denotes", "prp_spo2_derives" ] }, { "name": "lemma_prp_spo2_mid_step", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4809, "unconditional": false, "names_shipping_functions": [ "owl_chain2_mid", "owl_propertyChainAxiom" ], "names_declarative_relations": [ "ig_wf_sp", "owl_list_denotes", "prp_spo2_licensed" ] }, { "name": "owl_rule_property_chain_2_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4841, "unconditional": false, "names_shipping_functions": [ "owl_rule_property_chain_2" ], "names_declarative_relations": [ "ig_wf_sp", "prp_spo2_licensed" ] }, { "name": "theorem_property_chain_2_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4878, "unconditional": false, "names_shipping_functions": [ "owl_rule_property_chain_2" ], "names_declarative_relations": [ "ig_wf_sp", "prp_spo2_derives" ] }, { "name": "lemma_cls_avf_row_intro", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4931, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "find_subjects_indexed", "owl_allValuesFrom_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cls_avf_derives", "ig_wf_po", "ig_wf_sp" ] }, { "name": "lemma_cls_avf_member_step", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4979, "unconditional": false, "names_shipping_functions": [ "find_subjects_indexed", "owl_allValuesFrom_iri", "owl_cls_avf1_member", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cls_avf_licensed", "ig_wf_po", "ig_wf_sp" ] }, { "name": "lemma_cls_avf_prop_step", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 5014, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "owl_allValuesFrom_iri", "owl_cls_avf1_prop", "owl_onProperty_iri" ], "names_declarative_relations": [ "cls_avf_licensed", "ig_wf_po", "ig_wf_sp" ] }, { "name": "owl_rule_cls_avf1_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 5054, "unconditional": false, "names_shipping_functions": [ "owl_rule_cls_avf1" ], "names_declarative_relations": [ "cls_avf_licensed", "ig_wf_po", "ig_wf_sp" ] }, { "name": "theorem_cls_avf1_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 5086, "unconditional": false, "names_shipping_functions": [ "owl_rule_cls_avf1" ], "names_declarative_relations": [ "cls_avf_derives", "ig_wf_po", "ig_wf_sp" ] }, { "name": "theorem_cax_adc_cax_dw_detection_sound", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 5227, "unconditional": false, "names_shipping_functions": [ "owl_has_disjoint_class_clash" ], "names_declarative_relations": [ "rdf_type_objects_resource", "table6_clashes" ] }, { "name": "owl_rule_symmetric_property_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 62, "unconditional": false, "names_shipping_functions": [ "owl_rule_symmetric_property" ], "names_declarative_relations": [ "cond_symmetric", "holds_all" ] }, { "name": "lemma_sameas_pairs_hold", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 307, "unconditional": false, "names_shipping_functions": [ "sameas_pairs" ], "names_declarative_relations": [ "holds_all", "sameas_pairs_hold" ] }, { "name": "owl_rule_sameAs_symmetry_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 340, "unconditional": false, "names_shipping_functions": [ "owl_rule_sameAs_symmetry" ], "names_declarative_relations": [ "cond_sameas_identity", "holds_all" ] }, { "name": "decode_iri_list_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 386, "unconditional": false, "names_shipping_functions": [ "decode_iri_list" ], "names_declarative_relations": [ "holds_all", "ig_wf_sp", "seq_is" ] }, { "name": "owl_rule_cls_oneof_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 455, "unconditional": false, "names_shipping_functions": [ "owl_rule_cls_oneof" ], "names_declarative_relations": [ "cond_oneof", "holds_all", "ig_wf_sp" ] }, { "name": "owl_rule_equivalent_class_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 515, "unconditional": false, "names_shipping_functions": [ "owl_rule_equivalent_class" ], "names_declarative_relations": [ "cond_equivalent_class", "holds_all" ] }, { "name": "owl_rule_equivalent_property_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 585, "unconditional": false, "names_shipping_functions": [ "owl_rule_equivalent_property" ], "names_declarative_relations": [ "cond_equivalent_property", "holds_all" ] }, { "name": "owl_rule_sameAs_reflexivity_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 647, "unconditional": false, "names_shipping_functions": [ "owl_rule_sameAs_reflexivity" ], "names_declarative_relations": [ "cond_sameas_reflexive", "holds_all" ] }, { "name": "owl_rule_differentFrom_symmetry_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 687, "unconditional": false, "names_shipping_functions": [ "owl_rule_differentFrom_symmetry" ], "names_declarative_relations": [ "cond_differentfrom_symmetric", "holds_all" ] }, { "name": "owl_rule_disjoint_with_propagation_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 744, "unconditional": false, "names_shipping_functions": [ "owl_rule_disjoint_with_propagation" ], "names_declarative_relations": [ "cond_complementof_disjoint", "cond_disjointwith_symmetric", "holds_all" ] }, { "name": "owl_rule_symmetric_metapredicates_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 850, "unconditional": false, "names_shipping_functions": [ "owl_rule_symmetric_metapredicates" ], "names_declarative_relations": [ "cond_complementof_symmetric", "cond_disjointwith_symmetric", "cond_equivalentclass_symmetric", "cond_equivalentproperty_symmetric", "cond_inverseof_symmetric", "cond_propertydisjointwith_symmetric", "holds_all" ] }, { "name": "decode_chain_pair_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 969, "unconditional": false, "names_shipping_functions": [ "decode_chain_pair" ], "names_declarative_relations": [ "holds_all", "ig_wf_sp", "seq_is" ] }, { "name": "owl_rule_chain_to_transitive_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 1030, "unconditional": false, "names_shipping_functions": [ "owl_rule_chain_to_transitive" ], "names_declarative_relations": [ "cond_chain2_transitive", "holds_all", "ig_wf_sp" ] }, { "name": "owl_rule_scm_cls_restriction_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 1158, "unconditional": false, "names_shipping_functions": [ "owl_rule_scm_cls_restriction" ], "names_declarative_relations": [ "cond_restriction_subclass_of_class", "holds_all" ] }, { "name": "owl_rule_scm_eqc2_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 1409, "unconditional": false, "names_shipping_functions": [ "owl_rule_scm_eqc2" ], "names_declarative_relations": [ "cond_mutual_subclass_equivalent", "holds_all", "ig_wf_sp" ] }, { "name": "owl_rule_sameAs_replace_subject_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 1514, "unconditional": false, "names_shipping_functions": [ "owl_rule_sameAs_replace_subject" ], "names_declarative_relations": [ "cond_sameas_identity", "holds_all", "ig_wf_subj" ] }, { "name": "owl_rule_sameAs_replace_object_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 1589, "unconditional": false, "names_shipping_functions": [ "owl_rule_sameAs_replace_object" ], "names_declarative_relations": [ "cond_sameas_identity", "holds_all", "ig_wf_obj" ] }, { "name": "owl_rule_sameAs_replace_predicate_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 1673, "unconditional": false, "names_shipping_functions": [ "owl_rule_sameAs_replace_predicate" ], "names_declarative_relations": [ "cond_sameas_identity", "holds_all", "ig_wf_pred" ] }, { "name": "owl_rule_scm_eqp2_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 1742, "unconditional": false, "names_shipping_functions": [ "owl_rule_scm_eqp2" ], "names_declarative_relations": [ "cond_mutual_subproperty_equivalent", "holds_all", "ig_wf_sp" ] }, { "name": "owl_rule_sameAs_transitivity_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 1848, "unconditional": false, "names_shipping_functions": [ "owl_rule_sameAs_transitivity" ], "names_declarative_relations": [ "cond_sameas_identity", "holds_all", "ig_wf_sp" ] }, { "name": "owl_rule_transitive_property_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 1931, "unconditional": false, "names_shipping_functions": [ "owl_rule_transitive_property" ], "names_declarative_relations": [ "cond_transitive", "holds_all", "ig_wf_sp" ] }, { "name": "owl_rule_functional_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 2058, "unconditional": false, "names_shipping_functions": [ "owl_rule_functional" ], "names_declarative_relations": [ "cond_functional", "cond_sameas_identity", "holds_all", "ig_wf_sp" ] }, { "name": "owl_rule_inverse_functional_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 2179, "unconditional": false, "names_shipping_functions": [ "owl_rule_inverse_functional" ], "names_declarative_relations": [ "cond_inverse_functional", "cond_sameas_identity", "graph_literal_match_exact", "holds_all", "ig_wf_po", "ig_wf_pred" ] }, { "name": "owl_rule_inverse_of_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 2278, "unconditional": false, "names_shipping_functions": [ "owl_rule_inverse_of" ], "names_declarative_relations": [ "cond_inverse_of", "holds_all" ] }, { "name": "owl_rule_prp_key_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 2471, "unconditional": false, "names_shipping_functions": [ "owl_rule_prp_key" ], "names_declarative_relations": [ "cond_haskey", "cond_literal_term_eq_respecting", "cond_sameas_identity", "holds_all", "ig_wf_sp" ] }, { "name": "owl_rule_scm_dom2_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 2598, "unconditional": false, "names_shipping_functions": [ "owl_rule_scm_dom2" ], "names_declarative_relations": [ "cond_domain_subclass", "holds_all", "ig_wf_sp" ] }, { "name": "owl_rule_scm_rng2_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 2687, "unconditional": false, "names_shipping_functions": [ "owl_rule_scm_rng2" ], "names_declarative_relations": [ "cond_range_subclass", "holds_all", "ig_wf_sp" ] }, { "name": "owl_rule_subprop_domain_range_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 2784, "unconditional": false, "names_shipping_functions": [ "owl_rule_subprop_domain_range" ], "names_declarative_relations": [ "cond_domain_subprop", "cond_range_subprop", "holds_all", "ig_wf_sp" ] }, { "name": "owl_rule_cls_int1_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 2938, "unconditional": false, "names_shipping_functions": [ "owl_rule_cls_int1" ], "names_declarative_relations": [ "cond_intersection_of", "holds_all", "ig_wf_po_spec", "ig_wf_sp" ] }, { "name": "owl_rule_cls_uni_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3037, "unconditional": false, "names_shipping_functions": [ "owl_rule_cls_uni" ], "names_declarative_relations": [ "cond_union_of", "holds_all", "ig_wf_sp", "no_disjoint_union" ] }, { "name": "lemma_cls_hv1_witness_holds", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3116, "unconditional": false, "names_shipping_functions": [ "find_subjects_indexed", "owl_hasValue_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cond_hasvalue", "holds_all", "ig_wf_po", "triple_holds" ] }, { "name": "lemma_cls_hv1_members_fold_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3151, "unconditional": false, "names_shipping_functions": [ "find_subjects_indexed", "owl_cls_hv1_emit", "owl_hasValue_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cond_hasvalue", "holds_all", "ig_wf_po" ] }, { "name": "lemma_cls_hv1_mid_step_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3184, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "owl_cls_hv1_mid", "owl_hasValue_iri", "owl_onProperty_iri" ], "names_declarative_relations": [ "cond_hasvalue", "holds_all", "ig_wf_po", "ig_wf_sp" ] }, { "name": "owl_rule_cls_hv1_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3217, "unconditional": false, "names_shipping_functions": [ "owl_rule_cls_hv1" ], "names_declarative_relations": [ "cond_hasvalue", "holds_all", "ig_wf_po", "ig_wf_sp" ] }, { "name": "lemma_cls_hv2_witness_holds", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3286, "unconditional": false, "names_shipping_functions": [ "find_subjects_indexed", "owl_hasValue_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cond_hasvalue", "cond_literal_term_eq_respecting", "holds_all", "ig_wf_po", "ig_wf_pred", "triple_holds" ] }, { "name": "owl_rule_cls_hv2_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3319, "unconditional": false, "names_shipping_functions": [ "owl_rule_cls_hv2" ], "names_declarative_relations": [ "cond_hasvalue", "cond_literal_term_eq_respecting", "holds_all", "ig_wf_po", "ig_wf_pred", "ig_wf_sp" ] }, { "name": "lemma_cls_avf_witness_holds", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3441, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "find_subjects_indexed", "owl_allValuesFrom_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term", "term_to_subject" ], "names_declarative_relations": [ "cond_allvaluesfrom", "holds_all", "ig_wf_po", "ig_wf_sp", "triple_holds" ] }, { "name": "lemma_cls_avf_member_fold_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3492, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "find_subjects_indexed", "owl_allValuesFrom_iri", "owl_cls_avf1_emit", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cond_allvaluesfrom", "holds_all", 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2408, "unconditional": false, "names_shipping_functions": [ "fs_byte_at", "fs_byte_index", "fs_byte_length", "fs_cp_at", "is_bnode_start_cp", "is_continuation", "parse_object", "scan_bnode_body_cp" ] }, { "name": "lemma_parse_literal_plain_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2492, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "parse_literal", "parse_string_literal" ] }, { "name": "lemma_parse_literal_lang_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2519, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "is_alpha", "is_lang_char", "parse_literal", "parse_string_literal", "ptake_while_scan" ] }, { "name": "lemma_parse_literal_datatype_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2620, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "parse_datatype", "parse_literal", "parse_string_literal", "rdf_dir_lang_string", "rdf_lang_string" ] }, { "name": "lemma_parse_object_literal_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2667, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "parse_literal", "parse_object" ] }, { "name": "lemma_parse_graph_label_bnode_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2693, "unconditional": false, "names_shipping_functions": [ "fs_byte_at", "fs_byte_index", "fs_byte_length", "fs_cp_at", "is_bnode_start_cp", "is_continuation", "parse_graph_label", "scan_bnode_body_cp" ] }, { "name": "lemma_parse_opt_graph_label_bnode_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2729, "unconditional": false, "names_shipping_functions": [ "fs_byte_at", "fs_byte_index", "fs_byte_length", "fs_cp_at", "is_bnode_start_cp", "is_continuation", "parse_opt_graph_label", "pws", "scan_bnode_body_cp" ] }, { "name": "lemma_parse_nquad_shift_generic", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2800, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "is_iri", "parse_iri", "parse_nquad", "parse_object", "parse_opt_graph_label", "parse_subject", "pws" ] }, { "name": "stream_parse_single_chunk_shape", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 453, "unconditional": true, "names_shipping_functions": [ "dataset_finalise", "fs_byte_length", "parse_nquads_acc" ] }, { "name": "lemma_fs_byte_index_concat", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 530, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length" ] }, { "name": "lemma_byte_index_at_middle", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 551, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length" ] }, { "name": "parse_nquads_acc_concat_line_empty_complete", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 603, "unconditional": true, "names_shipping_functions": [ "fs_byte_length", "parse_nquads_acc" ] }, { "name": "parse_nquads_acc_concat_line_empty_carry", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 617, "unconditional": true, "names_shipping_functions": [ "fs_byte_length", "parse_nquads_acc" ] }, { "name": "lemma_skip_comment_shift", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 960, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "nt_skip_to_eol", "skip_comment" ] }, { "name": "lemma_nq_skip_line_shift_exact", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 980, "unconditional": false, "names_shipping_functions": [ "fs_byte_at", "fs_byte_length", "nq_skip_line" ] }, { "name": "stream_consume_single_chunk_shape", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2757, "unconditional": true, "names_shipping_functions": [ "fold_nquads_acc", "fs_byte_length" ] }, { "name": "lemma_extract_middle", "proved_in": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 481, "unconditional": true, "names_shipping_functions": [ "fs_byte_length", "fs_byte_sub" ] }, { "name": "lemma_iri_bracket_shift_prereqs", "proved_in": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1126, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "is_iri_body_char", "parse_iri_raw", "scan_iri_end" ] }, { "name": "lemma_pws_one_space", "proved_in": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1177, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "is_nt_ws", "pws" ] }, { "name": "lemma_build_string_byte_length_general", "proved_in": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1279, "unconditional": true, "names_shipping_functions": [ "fs_byte_length", "utf8_enc_char" ] }, { "name": "lemma_scan_iri_end_one_char_walk", "proved_in": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1315, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "is_iri_body_char", "scan_iri_end" ] }, { "name": "lemma_scan_iri_end_build_string_utf8", "proved_in": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1359, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "is_iri_body_char", "scan_iri_end" ] }, { "name": "lemma_parse_iri_raw_build_string_utf8", "proved_in": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1420, "unconditional": true, "names_shipping_functions": [ "fs_byte_length", "is_iri_body_char", "parse_iri_raw" ] }, { "name": "lemma_parse_iri_build_string_utf8", "proved_in": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1450, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "is_iri_body_char", "parse_iri" ] }, { "name": "lemma_term_iri_round_trip_build_string_utf8", "proved_in": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1464, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "is_iri_body_char", "nq_term_to_string", "parse_object" ] }, { "name": "lemma_term_iri_round_trip_utf8", "proved_in": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1493, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "is_iri_body_char", "nq_term_to_string", "parse_object" ] }, { "name": "fs_sub_of_concat", "proved_in": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 796, "unconditional": true, "names_shipping_functions": [ "fs_byte_length", "fs_byte_sub" ] }, { "name": "fs_sub_of_concat_literal", "proved_in": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 803, "unconditional": true, "names_shipping_functions": [ "fs_byte_length", "fs_byte_sub" ] } ], "internal_refinement_theorems": [ { "name": "lemma_parse_nquads_acc_blank_step_shift", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1203, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "parse_nquads_acc" ], "names_declarative_relations": [ "blank_line_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lemma_parse_nquads_acc_skip_blanks", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1250, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "parse_nquads_acc" ], "names_declarative_relations": [ "blank_chain_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lemma_parse_nquads_acc_comment_step_shift", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1318, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "parse_nquads_acc" ], "names_declarative_relations": [ "comment_line_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lemma_parse_nquads_acc_quad_fail_step_shift", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1382, "unconditional": false, "names_shipping_functions": [ "fs_byte_at", "fs_byte_length", "parse_nquad", "parse_nquads_acc" ], "names_declarative_relations": [ "quad_fail_line_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lemma_parse_nquads_acc_quad_ok_step_shift", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1477, "unconditional": false, "names_shipping_functions": [ "dataset_add_quad", "fs_byte_length", "parse_iri", "parse_nquad", "parse_nquads_acc", "parse_object", "parse_opt_graph_label", "parse_subject" ], "names_declarative_relations": [ "quad_ok_line_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lemma_parse_nquads_acc_line_step_shift", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1619, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "parse_nquads_acc" ], "names_declarative_relations": [ "lw_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lemma_parse_nquads_acc_restart", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1670, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "parse_nquads_acc" ], "names_declarative_relations": [ "chain_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lemma_parse_nquads_acc_full_via_chain", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1711, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "parse_nquads_acc" ], "names_declarative_relations": [ "chain_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lemma_parse_nquads_acc_concat_line_general", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1756, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "parse_nquads_acc" ], "names_declarative_relations": [ "chain_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "theorem_stream_eq_batch_single_chunk_general", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1839, "unconditional": false, "names_shipping_functions": [ "fs_byte_length" ], "names_declarative_relations": [ "chain_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "stream_fold_eq_batch", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2068, "unconditional": false, "names_shipping_functions": [ "dataset_finalise", "fs_byte_length", "parse_nquads_acc" ], "names_declarative_relations": [ "stream_fold_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lw_wf_shift_left_blank", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2292, "unconditional": false, "names_shipping_functions": [ "fs_byte_length" ], "names_declarative_relations": [ "lw_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lw_wf_shift_left_comment", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2306, "unconditional": false, "names_shipping_functions": [ "fs_byte_length" ], "names_declarative_relations": [ "lw_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lw_wf_shift_left_quadfail", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2321, "unconditional": false, "names_shipping_functions": [ "fs_byte_length" ], "names_declarative_relations": [ "lw_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lw_wf_shift_left_quadok", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2344, "unconditional": false, "names_shipping_functions": [ "fs_byte_length" ], "names_declarative_relations": [ "lw_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lw_wf_shift_left", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2382, "unconditional": false, "names_shipping_functions": [ "fs_byte_length" ], "names_declarative_relations": [ "lw_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lw_ds_step_shift", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2398, "unconditional": false, "names_shipping_functions": [ "fs_byte_length" ], "names_declarative_relations": [ "lw_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "chain_wf_shift_left", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2445, "unconditional": false, "names_shipping_functions": [ "fs_byte_length" ], "names_declarative_relations": [ "chain_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "chain_ds_fold_shift", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2462, "unconditional": false, "names_shipping_functions": [ "fs_byte_length" ], "names_declarative_relations": [ "chain_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "chain_append", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2511, "unconditional": false, "names_shipping_functions": [ "fs_byte_length" ], "names_declarative_relations": [ "chain_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "stream_consume_dataset_fold_eq_batch", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2937, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "parse_nquads_acc" ], "names_declarative_relations": [ "stream_fold_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "stream_consume_dataset_eq_batch_raw", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2971, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "parse_nquads_acc" ], "names_declarative_relations": [ "stream_fold_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lemma_fold_nquads_acc_blank_step_shift", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 3132, "unconditional": false, "names_shipping_functions": [ "fold_nquads_acc", "fs_byte_length" ], "names_declarative_relations": [ "blank_line_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lemma_fold_nquads_acc_comment_step_shift", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 3155, "unconditional": false, "names_shipping_functions": [ "fold_nquads_acc", "fs_byte_length" ], "names_declarative_relations": [ "comment_line_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lemma_fold_nquads_acc_quad_fail_step_shift", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 3180, "unconditional": false, "names_shipping_functions": [ "fold_nquads_acc", "fs_byte_at", "fs_byte_length", "parse_nquad" ], "names_declarative_relations": [ "quad_fail_line_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lemma_fold_nquads_acc_quad_ok_step_shift", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 3213, "unconditional": false, "names_shipping_functions": [ "fold_nquads_acc", "fs_byte_length", "parse_iri", "parse_nquad", "parse_object", "parse_opt_graph_label", "parse_subject" ], "names_declarative_relations": [ "quad_ok_line_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lemma_fold_nquads_acc_line_step_shift", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 3261, "unconditional": false, "names_shipping_functions": [ "fold_nquads_acc", "fs_byte_length" ], "names_declarative_relations": [ "lw_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lemma_fold_nquads_acc_restart", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 3286, "unconditional": false, "names_shipping_functions": [ "fold_nquads_acc", "fs_byte_length" ], "names_declarative_relations": [ "chain_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lemma_fold_nquads_acc_full_via_chain", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 3312, "unconditional": false, "names_shipping_functions": [ "fold_nquads_acc", "fs_byte_length" ], "names_declarative_relations": [ "chain_wf" ], "declarative_relations_from": 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"parse_nquads_acc" ], "names_declarative_relations": [ "lw_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lemma_parse_nquads_acc_restart", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1670, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "parse_nquads_acc" ], "names_declarative_relations": [ "chain_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lemma_parse_nquads_acc_full_via_chain", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1711, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "parse_nquads_acc" ], "names_declarative_relations": [ "chain_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lemma_parse_nquads_acc_concat_line_general", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1756, "unconditional": 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"formal/fstar/RDF.NQuads.Streaming.fst", "line": 2971, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "parse_nquads_acc" ], "names_declarative_relations": [ "stream_fold_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lemma_fold_nquads_acc_blank_step_shift", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 3132, "unconditional": false, "names_shipping_functions": [ "fold_nquads_acc", "fs_byte_length" ], "names_declarative_relations": [ "blank_line_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": "lemma_fold_nquads_acc_comment_step_shift", "proved_in": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 3155, "unconditional": false, "names_shipping_functions": [ "fold_nquads_acc", "fs_byte_length" ], "names_declarative_relations": [ "comment_line_wf" ], "declarative_relations_from": [ "RDF.NQuads.Streaming" ] }, { "name": 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"direct-trigger" }, { "suite": "sparql11-update", "how": "direct-trigger" } ] }, { "module": "Parser.NTriples", "files": [ "formal/fstar/Parser.NTriples.fst" ], "loc": 1449, "provenance": "fstar-authored", "provenance_basis": "file lives under formal/fstar/ and is not under any vendored third-party directory", "extraction": "extracted", "extraction_oracle_available": true, "extracted_ml": "formal/fstar/ocaml-output/Parser_NTriples.ml", "in_build_module_list": true, "foundational_path": false, "shipping_function_count": 57, "declarative_relation_count": 0, "unclassified_definition_count": 0, "assume_val_active": 0, "assume_val_names": [], "assume_other_active": 0, "admissions_active": 0, "admission_sites": [], "lax_or_admit_pragmas": [], "merely_tot": false, "local_refinement_lemma_count": 0, "local_refinement_lemma_names": [], "algorithm_correctness_theorems": [ { "name": "lemma_scan_iri_end_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 149, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "scan_iri_end" ] }, { "name": "lemma_scan_iri_end_shift_from_start", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 217, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "scan_iri_end" ] }, { "name": "lemma_scan_iri_end_shift_headroom", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 258, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "scan_iri_end" ] }, { "name": "lemma_pws_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 379, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "pws" ] }, { "name": "lemma_parse_iri_raw_fastpath_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 414, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "parse_iri_raw", "scan_iri_end" ] }, { "name": "lemma_parse_iri_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 454, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "is_iri", "parse_iri", "parse_iri_raw", "scan_iri_end" ] }, { "name": "lemma_parse_subject_iri_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 496, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "is_iri", "parse_iri_raw", "parse_subject", "scan_iri_end" ] }, { "name": "lemma_parse_object_iri_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 518, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "is_iri", "parse_iri_raw", "parse_object", "scan_iri_end" ] }, { "name": "lemma_parse_iri_body_acc_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 579, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "parse_iri_body_acc" ] }, { "name": "lemma_scan_iri_end_success_bound", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 692, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "scan_iri_end" ] }, { "name": "lemma_parse_iri_body_acc_success_bound", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 749, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "parse_iri_body_acc" ] }, { "name": "lemma_scan_bnode_body_cp_shift_headroom", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1140, "unconditional": false, "names_shipping_functions": [ "fs_byte_at", "fs_byte_length", "is_continuation", "scan_bnode_body_cp" ] }, { "name": "lemma_scan_string_fast_shift_headroom", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1286, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "scan_string_fast" ] }, { "name": "lemma_parse_string_body_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1323, "unconditional": false, "names_shipping_functions": [ "fs_byte_at", "fs_byte_length", "is_continuation", "parse_string_body" ] }, { "name": "lemma_scan_string_fast_shift_hasescapes", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1451, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "scan_string_fast" ] }, { "name": "lemma_parse_string_literal_fastpath_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1486, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "parse_string_literal", "scan_string_fast" ] }, { "name": "lemma_parse_string_literal_escapepath_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1521, "unconditional": false, "names_shipping_functions": [ "fs_byte_at", "fs_byte_index", "fs_byte_length", "is_continuation", "parse_string_body", "parse_string_literal", "scan_string_fast" ] }, { "name": "lemma_parse_lang_tag_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1618, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "is_alpha", "is_lang_char", "parse_lang_tag", "ptake_while_scan" ] }, { "name": "lemma_parse_datatype_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1643, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "is_iri", "parse_datatype", "parse_iri_raw", "scan_iri_end" ] }, { "name": "lemma_parse_graph_label_iri_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1692, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "is_iri", "parse_graph_label", "parse_iri_raw", "scan_iri_end" ] }, { "name": "lemma_parse_opt_graph_label_iri_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1714, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "is_iri", "parse_iri_raw", "parse_opt_graph_label", "pws", "scan_iri_end" ] }, { "name": "lemma_parse_opt_graph_label_none_dot_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1740, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "parse_opt_graph_label", "pws" ] }, { "name": "lemma_skip_eol_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1819, "unconditional": false, "names_shipping_functions": [ "fs_byte_at", "fs_byte_length", "skip_eol" ] }, { "name": "lemma_nt_skip_to_eol_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1926, "unconditional": false, "names_shipping_functions": [ "fs_byte_length", "nt_skip_to_eol" ] }, { "name": "lemma_pws_noop", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2207, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "is_nt_ws", "pws" ] }, { "name": "lemma_parse_nquad_iri_nograph_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2214, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "is_iri", "parse_iri", "parse_iri_raw", "parse_nquad", "parse_object", "parse_subject", "pws", "scan_iri_end" ] }, { "name": "lemma_parse_bnode_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2313, "unconditional": false, "names_shipping_functions": [ "fs_byte_at", "fs_byte_length", "fs_cp_at", "is_bnode_start_cp", "is_continuation", "parse_bnode", "scan_bnode_body_cp" ] }, { "name": "lemma_parse_subject_bnode_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2372, "unconditional": false, "names_shipping_functions": [ "fs_byte_at", "fs_byte_index", "fs_byte_length", "fs_cp_at", "is_bnode_start_cp", "is_continuation", "parse_subject", "scan_bnode_body_cp" ] }, { "name": "lemma_parse_object_bnode_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2408, "unconditional": false, "names_shipping_functions": [ "fs_byte_at", "fs_byte_index", "fs_byte_length", "fs_cp_at", "is_bnode_start_cp", "is_continuation", "parse_object", "scan_bnode_body_cp" ] }, { "name": "lemma_parse_literal_plain_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2492, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "parse_literal", "parse_string_literal" ] }, { "name": "lemma_parse_literal_lang_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2519, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "is_alpha", "is_lang_char", "parse_literal", "parse_string_literal", "ptake_while_scan" ] }, { "name": "lemma_parse_literal_datatype_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2620, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "parse_datatype", "parse_literal", "parse_string_literal", "rdf_dir_lang_string", "rdf_lang_string" ] }, { "name": "lemma_parse_object_literal_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2667, "unconditional": false, "names_shipping_functions": [ "fs_byte_index", "fs_byte_length", "parse_literal", "parse_object" ] }, { "name": "lemma_parse_graph_label_bnode_shift", "proved_in": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2693, "unconditional": false, "names_shipping_functions": [ "fs_byte_at", "fs_byte_index", "fs_byte_length", "fs_cp_at", "is_bnode_start_cp", "is_continuation", "parse_graph_label", "scan_bnode_body_cp" ] }, { "name": 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"RDF.Indexed.KeyInjectivity" ] } ], "w3c_refinement_theorems": [ { "name": "lemma_find_objects_indexed_sp_elim", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 814, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed" ], "names_declarative_relations": [ "ig_wf_sp" ] }, { "name": "lemma_scm_eqc2_emission_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1124, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "owl_equivalentClass", "rdfs_subClassOf", "term_is_iri" ], "names_declarative_relations": [ "ig_wf_sp", "scm_eqc2_derives" ] }, { "name": "lemma_scm_eqp2_emission_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1699, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "owl_equivalentProperty", "rdfs_subPropertyOf", "term_is_iri" ], "names_declarative_relations": [ "ig_wf_sp", "scm_eqp2_derives" ] }, { "name": "lemma_find_subjects_indexed_wf", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4023, "unconditional": false, "names_shipping_functions": [ "find_subjects_indexed" ], "names_declarative_relations": [ "graph_literal_match_exact", "ig_wf_po", "ig_wf_pred" ] }, { "name": "lemma_find_subjects_indexed_wf_subj", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4196, "unconditional": false, "names_shipping_functions": [ "find_subjects_indexed", "subject_to_term" ], "names_declarative_relations": [ "ig_wf_po" ] }, { "name": "lemma_cls_hv1_row_intro", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4247, "unconditional": false, "names_shipping_functions": [ "find_subjects_indexed", "owl_hasValue_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cls_hv1_derives", "ig_wf_po" ] }, { "name": "lemma_cls_hv1_members_fold", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4282, "unconditional": false, "names_shipping_functions": [ "find_subjects_indexed", "owl_cls_hv1_emit", "owl_hasValue_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cls_hv1_licensed", "ig_wf_po" ] }, { "name": "lemma_cls_hv1_mid_step", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4313, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "owl_cls_hv1_mid", "owl_hasValue_iri", "owl_onProperty_iri" ], "names_declarative_relations": [ "cls_hv1_licensed", "ig_wf_po", "ig_wf_sp" ] }, { "name": "lemma_find_subjects_indexed_wf_approx", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4430, "unconditional": false, "names_shipping_functions": [ "find_subjects_indexed", "rdf_term_eq" ], "names_declarative_relations": [ "ig_wf_po", "ig_wf_pred" ] }, { "name": "lemma_prp_spo2_row_intro", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4767, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "owl_propertyChainAxiom" ], "names_declarative_relations": [ "ig_wf_sp", "owl_list_denotes", "prp_spo2_derives" ] }, { "name": "lemma_cls_avf_row_intro", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4931, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "find_subjects_indexed", "owl_allValuesFrom_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cls_avf_derives", "ig_wf_po", "ig_wf_sp" ] }, { "name": "lemma_cls_avf_member_step", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4979, "unconditional": false, "names_shipping_functions": [ "find_subjects_indexed", "owl_allValuesFrom_iri", "owl_cls_avf1_member", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cls_avf_licensed", "ig_wf_po", "ig_wf_sp" ] }, { "name": "lemma_cls_avf_prop_step", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 5014, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "owl_allValuesFrom_iri", "owl_cls_avf1_prop", "owl_onProperty_iri" ], "names_declarative_relations": [ "cls_avf_licensed", "ig_wf_po", "ig_wf_sp" ] }, { "name": "lemma_cls_hv1_witness_holds", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3116, "unconditional": false, "names_shipping_functions": [ "find_subjects_indexed", "owl_hasValue_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cond_hasvalue", "holds_all", "ig_wf_po", "triple_holds" ] }, { "name": "lemma_cls_hv1_members_fold_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3151, "unconditional": false, "names_shipping_functions": [ "find_subjects_indexed", "owl_cls_hv1_emit", "owl_hasValue_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cond_hasvalue", "holds_all", "ig_wf_po" ] }, { "name": "lemma_cls_hv1_mid_step_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3184, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "owl_cls_hv1_mid", "owl_hasValue_iri", "owl_onProperty_iri" ], "names_declarative_relations": [ "cond_hasvalue", "holds_all", "ig_wf_po", "ig_wf_sp" ] }, { "name": "lemma_cls_hv2_witness_holds", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3286, "unconditional": false, "names_shipping_functions": [ "find_subjects_indexed", "owl_hasValue_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cond_hasvalue", "cond_literal_term_eq_respecting", "holds_all", "ig_wf_po", "ig_wf_pred", "triple_holds" ] }, { "name": "lemma_cls_avf_witness_holds", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3441, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "find_subjects_indexed", "owl_allValuesFrom_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term", "term_to_subject" ], "names_declarative_relations": [ "cond_allvaluesfrom", "holds_all", "ig_wf_po", "ig_wf_sp", "triple_holds" ] }, { "name": "lemma_cls_avf_member_fold_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3492, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "find_subjects_indexed", "owl_allValuesFrom_iri", "owl_cls_avf1_emit", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cond_allvaluesfrom", "holds_all", "ig_wf_po", "ig_wf_sp" ] }, { "name": "lemma_cls_avf_prop_step_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3530, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "owl_allValuesFrom_iri", "owl_cls_avf1_prop", "owl_onProperty_iri" ], "names_declarative_relations": [ "cond_allvaluesfrom", "holds_all", "ig_wf_po", "ig_wf_sp" ] }, { "name": "lemma_prp_spo2_witness_holds", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3630, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "owl_propertyChainAxiom", "term_to_subject" ], "names_declarative_relations": [ "cond_chain2_compose", "holds_all", "ig_wf_sp", "seq_is", "triple_holds" ] }, { "name": "rdfs_rule_domain_entailed", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3776, "unconditional": true, "names_shipping_functions": [ "build_indexed", "rdfs_rule_domain" ], "names_declarative_relations": [ "pilot_entails" ] }, { "name": "rdfs_rule_range_entailed", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3797, "unconditional": true, "names_shipping_functions": [ "build_indexed", "rdfs_rule_range" ], "names_declarative_relations": [ "pilot_entails" ] }, { "name": "owl_rule_sameAs_symmetry_entailed", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3818, "unconditional": true, "names_shipping_functions": [ "build_indexed", "owl_rule_sameAs_symmetry" ], "names_declarative_relations": [ "pilot_entails" ] }, { "name": "owl_rule_cls_oneof_entailed", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3845, "unconditional": false, "names_shipping_functions": [ "build_indexed", "owl_rule_cls_oneof" ], "names_declarative_relations": [ "ig_wf_sp", "pilot_entails" ] }, { "name": "lemma_closure_chain_wf_step", "proved_in": "RDF.Entailment.RDFS.ChainWf", "file": "formal/fstar/RDF.Entailment.RDFS.ChainWf.fst", "line": 339, "unconditional": false, "names_shipping_functions": [ "build_indexed" ], "names_declarative_relations": [ "graph_sep_free", "ig_wf_sp" ] }, { "name": "lemma_rdfs_rule_subPropertyOf_clean", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 558, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_subPropertyOf" ], "names_declarative_relations": [ "graph_clean" ] }, { "name": "lemma_rdfs_rule_domain_clean", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 579, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_domain" ], "names_declarative_relations": [ "graph_clean" ] }, { "name": "lemma_rdfs_rule_range_clean", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 600, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_range" ], "names_declarative_relations": [ "graph_clean" ] }, { "name": "lemma_rdfs_rule_subClassOf_clean", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 624, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_subClassOf" ], "names_declarative_relations": [ "graph_clean" ] }, { "name": "lemma_rdfs_rule_subClassOf_trans_clean", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 694, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_subClassOf_trans" ], "names_declarative_relations": [ "graph_clean" ] }, { "name": "lemma_rdfs_rule_subPropertyOf_trans_clean", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 716, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_subPropertyOf_trans" ], "names_declarative_relations": [ "graph_clean" ] }, { "name": "rdfs_closure_step_sound", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 679, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_closure_step" ], "names_declarative_relations": [ "holds_all", "ig_wf_sp", "rdfs_conditions" ] }, { "name": "lemma_find_objects_elim", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 453, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed" ], "names_declarative_relations": [ "ig_wf_sp" ] }, { "name": "rs2_rows_complete_at_build_indexed", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1216, "unconditional": false, "names_shipping_functions": [ "build_indexed", "is_typed_as", "rdf_type", "rdfs_Class", "rdfs_Datatype", "rdfs_Literal", "rdfs_Resource", "rdfs_rule_class_subclass_resource", "rdfs_rule_datatype_subclass_literal", "rdfs_rule_recognized_datatypes", "rdfs_rule_resource_object", "rdfs_rule_resource_subject", "rdfs_subClassOf", "recognized_datatypes", "term_to_subject" ], "names_declarative_relations": [ "ig_wf_sp" ] }, { "name": "lemma_rho_df_step_sound", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 425, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rho_df_closure_step" ], "names_declarative_relations": [ "holds_all", "ig_wf_sp", "rho_df_conditions" ] }, { "name": "rdfs_rule_domain_reaches2", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 656, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_domain" ], "names_declarative_relations": [ "ig_wf_sp", "is_subgraph", "rdfs2_derives", "rho_df_frag_graph" ] }, { "name": "rdfs_rule_domain_reaches", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 752, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_domain" ], "names_declarative_relations": [ "ig_wf_sp", "rdfs2_derives", "rho_df_frag_graph" ] }, { "name": "rdfs_rule_range_reaches2", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 772, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_range" ], "names_declarative_relations": [ "ig_wf_sp", "is_subgraph", "rdfs3_derives", "rho_df_frag_graph" ] }, { "name": "rdfs_rule_range_reaches", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 876, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_range" ], "names_declarative_relations": [ "ig_wf_sp", "rdfs3_derives", "rho_df_frag_graph" ] }, { "name": "rdfs_rule_subPropertyOf_reaches2", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1010, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_subPropertyOf" ], "names_declarative_relations": [ "ig_wf_sp", "is_subgraph", "rdfs7_derives", "rho_df_frag_graph" ] }, { "name": "rdfs_rule_subPropertyOf_reaches", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1097, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_subPropertyOf" ], "names_declarative_relations": [ "ig_wf_sp", "rdfs7_derives", "rho_df_frag_graph" ] }, { "name": "rdfs_rule_subClassOf_trans_reaches2", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1132, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_subClassOf_trans" ], "names_declarative_relations": [ "ig_wf_sp", "is_subgraph", "rdfs11_derives" ] }, { "name": "rdfs_rule_subClassOf_trans_reaches", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1205, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_subClassOf_trans" ], "names_declarative_relations": [ "ig_wf_sp", "rdfs11_derives" ] }, { "name": "rdfs_rule_subPropertyOf_trans_reaches2", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1213, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_subPropertyOf_trans" ], "names_declarative_relations": [ "ig_wf_sp", "is_subgraph", "rdfs5_derives" ] }, { "name": "rdfs_rule_subPropertyOf_trans_reaches", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1276, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_subPropertyOf_trans" ], "names_declarative_relations": [ "ig_wf_sp", "rdfs5_derives" ] }, { "name": "rdfs_rule_subClassOf_reaches_iri2", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1311, "unconditional": false, "names_shipping_functions": [ "build_indexed", "i_rdf_type", "i_rdfs_subClassOf", "rdfs_rule_subClassOf" ], "names_declarative_relations": [ "ig_wf_sp", "is_subgraph", "rho_df_frag_graph" ] }, { "name": "rdfs_rule_subClassOf_reaches_iri", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1409, "unconditional": false, "names_shipping_functions": [ "build_indexed", "i_rdf_type", "i_rdfs_subClassOf", "rdfs_rule_subClassOf" ], "names_declarative_relations": [ "ig_wf_sp", "rho_df_frag_graph" ] }, { "name": "lemma_f1_bad_triple_derived", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1477, "unconditional": false, "names_shipping_functions": [ "build_indexed", "f1_bad_triple", "f1_witness", "i_rdfs_subPropertyOf", "rdfs_rule_subPropertyOf" ], "names_declarative_relations": [ "ig_wf_sp" ] }, { "name": "rho_df_frag_preservation_fails", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1504, "unconditional": false, "names_shipping_functions": [ "build_indexed", "f1_bad_triple", "f1_witness", "i_rdfs_subPropertyOf", "rdfs_rule_subPropertyOf" ], "names_declarative_relations": [ "ig_wf_sp", "rho_df_frag_graph", "rho_df_frag_triple" ] }, { "name": "lemma_c_in_g1", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1670, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_subPropertyOf" ], "names_declarative_relations": [ "is_subgraph" ] }, { "name": "lemma_c_in_g2", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1677, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_domain", "rdfs_rule_subPropertyOf" ], "names_declarative_relations": [ "is_subgraph" ] }, { "name": "lemma_c_in_g3", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1686, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_domain", "rdfs_rule_range", "rdfs_rule_subPropertyOf" ], "names_declarative_relations": [ "is_subgraph" ] }, { "name": "lemma_c_in_g4", "proved_in": 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"line": 922, "unconditional": true, "names_shipping_functions": [ "owl_TransitiveProperty", "rdf_type" ] }, { "name": "lemma_vocab_dom_agree", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1881, "unconditional": true, "names_shipping_functions": [ "rdfs_domain", "rdfs_subClassOf" ] }, { "name": "lemma_vocab_rng_agree", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2017, "unconditional": true, "names_shipping_functions": [ "rdfs_range", "rdfs_subClassOf" ] }, { "name": "lemma_vocab_cls_oo_agree", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2491, "unconditional": true, "names_shipping_functions": [ "owl_oneOf_iri", "rdf_type" ] }, { "name": "lemma_vocab_cls_int_agree", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2630, "unconditional": true, "names_shipping_functions": [ "owl_intersectionOf_iri", "rdf_type" ] }, { 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"formal/fstar/OWL.RL.Refinement.fst", "line": 4911, "unconditional": true, "names_shipping_functions": [ "owl_allValuesFrom_iri", "owl_onProperty_iri", "rdf_type" ] }, { "name": "lemma_vocab_clash_agree", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 5169, "unconditional": true, "names_shipping_functions": [ "owl_disjointWith_iri", "owl_propertyDisjointWith", "rdf_type" ] }, { "name": "lemma_step_is_dedup_of_pre_dedup", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 485, "unconditional": true, "names_shipping_functions": [ "graph_dedup_sort", "rdfs_closure_step" ] }, { "name": "lemma_vocab_agree", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 88, "unconditional": true, "names_shipping_functions": [ "i_rdf_Property", "i_rdf_type", "i_rdfs_Class", "i_rdfs_ContainerMembershipProperty", "i_rdfs_domain", "i_rdfs_member", "i_rdfs_range", "i_rdfs_subClassOf", "i_rdfs_subPropertyOf", "rdf_Property", "rdf_type", "rdfs_Class", "rdfs_ContainerMembershipProperty", "rdfs_domain", "rdfs_member", "rdfs_range", "rdfs_subClassOf", "rdfs_subPropertyOf" ] }, { "name": "lemma_vocab_agree_rs2", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 106, "unconditional": true, "names_shipping_functions": [ "i_rdfs_Datatype", "i_rdfs_Literal", "i_rdfs_Resource", "rdfs_Datatype", "rdfs_Literal", "rdfs_Resource" ] }, { "name": "lemma_class_typing_rdfs", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1429, "unconditional": false, "names_shipping_functions": [ "is_class_type_object_rdfs", "rdfs_Class" ] }, { "name": "lemma_property_typing_rdfs", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1438, "unconditional": false, "names_shipping_functions": [ "is_property_type_object_rdfs", "rdf_Property" ] }, { "name": "lemma_after_row1_pre_dedup", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1580, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_subPropertyOf", "rho_df_closure_step_pre_dedup" ] }, { "name": "lemma_after_row2_pre_dedup", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1594, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_domain", "rdfs_rule_subPropertyOf", "rho_df_closure_step_pre_dedup" ] }, { "name": "lemma_after_row3_pre_dedup", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1607, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_domain", "rdfs_rule_range", "rdfs_rule_subPropertyOf", "rho_df_closure_step_pre_dedup" ] }, { "name": "lemma_after_row4_pre_dedup", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1618, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_domain", "rdfs_rule_range", "rdfs_rule_subClassOf", "rdfs_rule_subPropertyOf", "rho_df_closure_step_pre_dedup" ] }, { "name": "lemma_after_row5_pre_dedup", "proved_in": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1629, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_domain", "rdfs_rule_range", "rdfs_rule_subClassOf", "rdfs_rule_subClassOf_trans", "rdfs_rule_subPropertyOf", "rho_df_closure_step_pre_dedup" ] } ], "internal_refinement_theorems": [ { "name": "lemma_step_extensive", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 1076, "unconditional": false, "names_shipping_functions": [ "rdfs_closure_step" ], "names_declarative_relations": [ "no_dup_keys" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.FixedPoint" ] }, { "name": "lemma_len_eq_saturated", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 1245, "unconditional": false, "names_shipping_functions": [ "graph_len", "rdfs_closure_step" ], "names_declarative_relations": [ "no_dup_keys", "step_saturated" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.FixedPoint" ] }, { "name": "lemma_len_eq_saturated_gapB", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 1522, "unconditional": false, "names_shipping_functions": [ "graph_len", "rdfs_closure_step" ], "names_declarative_relations": [ "no_dup_keys", "step_saturated" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.FixedPoint" ] }, { "name": "lemma_chain_shift", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 742, "unconditional": false, "names_shipping_functions": [ "rdfs_closure_step" ], "names_declarative_relations": [ "closure_chain_wf" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.ModelTheory" ] }, { "name": "rdfs_closure_entails", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 777, "unconditional": false, "names_shipping_functions": [ "rdfs_closure" ], "names_declarative_relations": [ "closure_chain_wf", "rdfs_entails" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.ModelTheory" ] }, { "name": "rdf_property_axiom_closure_entails", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 796, "unconditional": true, "names_shipping_functions": [ "rdf_property_axiom_closure" ], "names_declarative_relations": [ "rdf_entails" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.ModelTheory" ] }, { "name": "rdfs_closure_with_reflexivity_entails", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 873, "unconditional": false, "names_shipping_functions": [ "rdfs_closure_with_reflexivity" ], "names_declarative_relations": [ "closure_chain_wf", "rdfs_entails" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.ModelTheory" ] }, { "name": "collect_related_iris_source", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1380, "unconditional": true, "names_shipping_functions": [ "collect_related_iris" ], "names_declarative_relations": [ "harvest_source" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.Refinement" ] } ], "w3c_refinement_theorems": [ { "name": "lemma_scm_eqc2_emission_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1124, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "owl_equivalentClass", "rdfs_subClassOf", "term_is_iri" ], "names_declarative_relations": [ "ig_wf_sp", "scm_eqc2_derives" ] }, { "name": "lemma_scm_eqp2_emission_licensed", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1699, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "owl_equivalentProperty", "rdfs_subPropertyOf", "term_is_iri" ], "names_declarative_relations": [ "ig_wf_sp", "scm_eqp2_derives" ] }, { "name": "lemma_cls_hv1_row_intro", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4247, "unconditional": false, "names_shipping_functions": [ "find_subjects_indexed", "owl_hasValue_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cls_hv1_derives", "ig_wf_po" ] }, { "name": "lemma_cls_hv1_members_fold", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4282, "unconditional": false, "names_shipping_functions": [ "find_subjects_indexed", "owl_cls_hv1_emit", "owl_hasValue_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cls_hv1_licensed", "ig_wf_po" ] }, { "name": "lemma_cls_avf_row_intro", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4931, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "find_subjects_indexed", "owl_allValuesFrom_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cls_avf_derives", "ig_wf_po", "ig_wf_sp" ] }, { "name": "lemma_cls_avf_member_step", "proved_in": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4979, "unconditional": false, "names_shipping_functions": [ "find_subjects_indexed", "owl_allValuesFrom_iri", "owl_cls_avf1_member", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cls_avf_licensed", "ig_wf_po", "ig_wf_sp" ] }, { "name": "rdfs_rule_domain_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 129, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_domain" ], "names_declarative_relations": [ "cond_domain", "holds_all", "ig_wf_pred" ] }, { "name": "rdfs_rule_range_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 208, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_range" ], "names_declarative_relations": [ "cond_range", "holds_all", "ig_wf_pred" ] }, { "name": "lemma_cls_hv1_witness_holds", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3116, "unconditional": false, "names_shipping_functions": [ "find_subjects_indexed", "owl_hasValue_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cond_hasvalue", "holds_all", "ig_wf_po", "triple_holds" ] }, { "name": "lemma_cls_hv1_members_fold_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3151, "unconditional": false, "names_shipping_functions": [ "find_subjects_indexed", "owl_cls_hv1_emit", "owl_hasValue_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cond_hasvalue", "holds_all", "ig_wf_po" ] }, { "name": "lemma_cls_hv2_witness_holds", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3286, "unconditional": false, "names_shipping_functions": [ "find_subjects_indexed", "owl_hasValue_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cond_hasvalue", "cond_literal_term_eq_respecting", "holds_all", "ig_wf_po", "ig_wf_pred", "triple_holds" ] }, { "name": "lemma_cls_avf_witness_holds", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3441, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "find_subjects_indexed", "owl_allValuesFrom_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term", "term_to_subject" ], "names_declarative_relations": [ "cond_allvaluesfrom", "holds_all", "ig_wf_po", "ig_wf_sp", "triple_holds" ] }, { "name": "lemma_cls_avf_member_fold_sound", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3492, "unconditional": false, "names_shipping_functions": [ "find_objects_indexed", "find_subjects_indexed", "owl_allValuesFrom_iri", "owl_cls_avf1_emit", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "names_declarative_relations": [ "cond_allvaluesfrom", "holds_all", "ig_wf_po", "ig_wf_sp" ] }, { "name": "rdfs_rule_domain_entailed", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3776, "unconditional": true, "names_shipping_functions": [ "build_indexed", "rdfs_rule_domain" ], "names_declarative_relations": [ "pilot_entails" ] }, { "name": "rdfs_rule_range_entailed", "proved_in": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3797, "unconditional": true, "names_shipping_functions": [ "build_indexed", "rdfs_rule_range" ], "names_declarative_relations": [ "pilot_entails" ] }, { "name": "rdfs_rule_subPropertyOf_preserves_sep", "proved_in": "RDF.Entailment.RDFS.ChainWf", "file": "formal/fstar/RDF.Entailment.RDFS.ChainWf.fst", "line": 146, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_subPropertyOf" ], "names_declarative_relations": [ "graph_sep_free", "ig_wf_pred" ] }, { "name": "rdfs_rule_domain_preserves_sep", "proved_in": "RDF.Entailment.RDFS.ChainWf", "file": "formal/fstar/RDF.Entailment.RDFS.ChainWf.fst", "line": 153, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_domain" ], "names_declarative_relations": [ "graph_sep_free", "ig_wf_pred" ] }, { "name": "rdfs_rule_range_preserves_sep", "proved_in": "RDF.Entailment.RDFS.ChainWf", "file": "formal/fstar/RDF.Entailment.RDFS.ChainWf.fst", "line": 160, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_range" ], "names_declarative_relations": [ "graph_sep_free", "ig_wf_pred" ] }, { "name": "rdfs_rule_subClassOf_preserves_sep", "proved_in": "RDF.Entailment.RDFS.ChainWf", "file": "formal/fstar/RDF.Entailment.RDFS.ChainWf.fst", "line": 167, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_subClassOf" ], "names_declarative_relations": [ "graph_sep_free", "ig_wf_sp" ] }, { "name": "rdfs_rule_container_membership_preserves_sep", "proved_in": "RDF.Entailment.RDFS.ChainWf", "file": "formal/fstar/RDF.Entailment.RDFS.ChainWf.fst", "line": 184, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_container_membership" ], "names_declarative_relations": [ "graph_sep_free" ] }, { "name": "rdfs_rule_subClassOf_trans_preserves_sep", "proved_in": "RDF.Entailment.RDFS.ChainWf", "file": "formal/fstar/RDF.Entailment.RDFS.ChainWf.fst", "line": 217, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_subClassOf_trans" ], "names_declarative_relations": [ "graph_sep_free", "ig_wf_sp" ] }, { "name": "rdfs_rule_subPropertyOf_trans_preserves_sep", "proved_in": "RDF.Entailment.RDFS.ChainWf", "file": "formal/fstar/RDF.Entailment.RDFS.ChainWf.fst", "line": 225, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_subPropertyOf_trans" ], "names_declarative_relations": [ "graph_sep_free", "ig_wf_sp" ] }, { "name": "rdfs_rule_recognized_datatypes_preserves_sep", "proved_in": "RDF.Entailment.RDFS.ChainWf", "file": "formal/fstar/RDF.Entailment.RDFS.ChainWf.fst", "line": 236, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_recognized_datatypes" ], "names_declarative_relations": [ "graph_sep_free" ] }, { "name": "rdfs_rule_class_subclass_resource_preserves_sep", "proved_in": "RDF.Entailment.RDFS.ChainWf", "file": "formal/fstar/RDF.Entailment.RDFS.ChainWf.fst", "line": 246, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_class_subclass_resource" ], "names_declarative_relations": [ "graph_sep_free" ] }, { "name": "rdfs_rule_datatype_subclass_literal_preserves_sep", "proved_in": "RDF.Entailment.RDFS.ChainWf", "file": "formal/fstar/RDF.Entailment.RDFS.ChainWf.fst", "line": 253, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_datatype_subclass_literal" ], "names_declarative_relations": [ "graph_sep_free" ] }, { "name": "rdfs_rule_resource_subject_preserves_sep", "proved_in": "RDF.Entailment.RDFS.ChainWf", "file": "formal/fstar/RDF.Entailment.RDFS.ChainWf.fst", "line": 260, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_resource_subject" ], "names_declarative_relations": [ "graph_sep_free" ] }, { "name": "rdfs_rule_resource_object_preserves_sep", "proved_in": "RDF.Entailment.RDFS.ChainWf", "file": "formal/fstar/RDF.Entailment.RDFS.ChainWf.fst", "line": 267, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_resource_object" ], "names_declarative_relations": [ "graph_sep_free" ] }, { "name": "step_preserves_sep_free", "proved_in": "RDF.Entailment.RDFS.ChainWf", "file": "formal/fstar/RDF.Entailment.RDFS.ChainWf.fst", "line": 283, "unconditional": false, "names_shipping_functions": [ "rdfs_closure_step" ], "names_declarative_relations": [ "graph_sep_free" ] }, { "name": "step_domain", "proved_in": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 279, "unconditional": false, "names_shipping_functions": [ "rdf_type", "rdfs_domain" ], "names_declarative_relations": [ "herb_iext", "rho_df_closed" ] }, { "name": "step_range", "proved_in": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 311, "unconditional": false, "names_shipping_functions": [ "rdf_type", "rdfs_range" ], "names_declarative_relations": [ "herb_iext", "rho_df_closed", "rho_df_frag_graph" ] }, { "name": "step_sub_property", "proved_in": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 350, "unconditional": false, "names_shipping_functions": [ "rdfs_subPropertyOf" ], "names_declarative_relations": [ "herb_iext", "rho_df_closed", "rho_df_frag_graph" ] }, { "name": "step_sub_property_trans", "proved_in": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 386, "unconditional": false, "names_shipping_functions": [ "rdfs_subPropertyOf" ], "names_declarative_relations": [ "herb_iext", "rho_df_closed" ] }, { "name": "step_sub_class", "proved_in": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 419, "unconditional": false, "names_shipping_functions": [ "rdf_type", "rdfs_subClassOf" ], "names_declarative_relations": [ "herb_iext", "rho_df_closed" ] }, { "name": "step_sub_class_trans", "proved_in": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 451, "unconditional": false, "names_shipping_functions": [ "rdfs_subClassOf" ], "names_declarative_relations": [ "herb_iext", "rho_df_closed" ] }, { "name": "rdfs_closure_rho_df_complete", "proved_in": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 697, "unconditional": false, "names_shipping_functions": [ "rdfs_closure" ], "names_declarative_relations": [ "graph_tt_free", "is_subgraph", "rho_df_closed", "rho_df_entails", "rho_df_frag_graph", "simple_entailment_spec" ] }, { "name": "lemma_rdfs_rule_subPropertyOf_clean", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 558, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_subPropertyOf" ], "names_declarative_relations": [ "graph_clean" ] }, { "name": "lemma_rdfs_rule_domain_clean", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 579, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_domain" ], "names_declarative_relations": [ "graph_clean" ] }, { "name": "lemma_rdfs_rule_range_clean", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 600, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_range" ], "names_declarative_relations": [ "graph_clean" ] }, { "name": "lemma_rdfs_rule_subClassOf_clean", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 624, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_subClassOf" ], "names_declarative_relations": [ "graph_clean" ] }, { "name": "lemma_rdfs_rule_container_membership_clean", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 657, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_container_membership" ], "names_declarative_relations": [ "graph_clean" ] }, { "name": "lemma_rdfs_rule_subClassOf_trans_clean", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 694, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_subClassOf_trans" ], "names_declarative_relations": [ "graph_clean" ] }, { "name": "lemma_rdfs_rule_subPropertyOf_trans_clean", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 716, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_rule_subPropertyOf_trans" ], "names_declarative_relations": [ "graph_clean" ] }, { "name": "lemma_rdfs_rule_recognized_datatypes_clean", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 740, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_recognized_datatypes" ], "names_declarative_relations": [ "graph_clean" ] }, { "name": "lemma_rdfs_rule_class_subclass_resource_clean", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 762, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_class_subclass_resource" ], "names_declarative_relations": [ "graph_clean" ] }, { "name": "lemma_rdfs_rule_datatype_subclass_literal_clean", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 782, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_datatype_subclass_literal" ], "names_declarative_relations": [ "graph_clean" ] }, { "name": "lemma_rdfs_rule_resource_subject_clean", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 802, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_resource_subject" ], "names_declarative_relations": [ "graph_clean" ] }, { "name": "lemma_rdfs_rule_resource_object_clean", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 825, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_resource_object" ], "names_declarative_relations": [ "graph_clean" ] }, { "name": "lemma_len_eq_saturated_sep_free", "proved_in": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 1556, "unconditional": false, "names_shipping_functions": [ "graph_len", "rdfs_closure_step" ], "names_declarative_relations": [ "graph_obj_not_tt", "graph_sep_free", "step_saturated" ] }, { "name": "rdfs_rule_subPropertyOf_preserves", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 552, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_subPropertyOf" ], "names_declarative_relations": [ "cond_subPropertyOf", "holds_all", "ig_wf_pred" ] }, { "name": "rdfs_rule_domain_preserves", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 562, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_domain" ], "names_declarative_relations": [ "cond_domain", "holds_all", "ig_wf_pred" ] }, { "name": "rdfs_rule_range_preserves", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 572, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_range" ], "names_declarative_relations": [ "cond_range", "holds_all", "ig_wf_pred" ] }, { "name": "rdfs_rule_subClassOf_preserves", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 582, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_subClassOf" ], "names_declarative_relations": [ "cond_subClassOf", "holds_all", "ig_wf_sp" ] }, { "name": "rdfs_rule_subClassOf_trans_preserves", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 592, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_subClassOf_trans" ], "names_declarative_relations": [ "cond_subClassOf_trans", "holds_all", "ig_wf_sp" ] }, { "name": "rdfs_rule_subPropertyOf_trans_preserves", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 602, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_subPropertyOf_trans" ], "names_declarative_relations": [ "cond_subPropertyOf_trans", "holds_all", "ig_wf_sp" ] }, { "name": "rdfs_rule_container_membership_preserves", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 612, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_container_membership" ], "names_declarative_relations": [ "cond_cmp_member", "cond_rdfs_axioms", "holds_all" ] }, { "name": "rdfs_rule_recognized_datatypes_preserves", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 623, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_recognized_datatypes" ], "names_declarative_relations": [ "cond_datatypes_minimal", "holds_all" ] }, { "name": "rdfs_rule_resource_subject_preserves", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 631, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_resource_subject" ], "names_declarative_relations": [ "cond_resource", "holds_all" ] }, { "name": "rdfs_rule_resource_object_preserves", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 640, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_resource_object" ], "names_declarative_relations": [ "cond_resource", "holds_all" ] }, { "name": "rdfs_rule_class_subclass_resource_preserves", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 649, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_class_subclass_resource" ], "names_declarative_relations": [ "cond_class_subclass_resource", "holds_all" ] }, { "name": "rdfs_rule_datatype_subclass_literal_preserves", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 658, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_datatype_subclass_literal" ], "names_declarative_relations": [ "cond_datatype_subclass_literal", "holds_all" ] }, { "name": "rdfs_closure_step_sound", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 679, "unconditional": false, "names_shipping_functions": [ "build_indexed", "rdfs_closure_step" ], "names_declarative_relations": [ "holds_all", "ig_wf_sp", "rdfs_conditions" ] }, { "name": "rdfs_closure_sound", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 756, "unconditional": false, "names_shipping_functions": [ "rdfs_closure" ], "names_declarative_relations": [ "closure_chain_wf", "holds_all", "rdfs_conditions" ] }, { "name": "rdfs_reflexivity_axioms_preserves", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 835, "unconditional": false, "names_shipping_functions": [ "rdfs_reflexivity_axioms" ], "names_declarative_relations": [ "holds_all", "rdfs_conditions" ] }, { "name": "rdfs_closure_with_reflexivity_sound", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 855, "unconditional": false, "names_shipping_functions": [ "rdfs_closure_with_reflexivity" ], "names_declarative_relations": [ "closure_chain_wf", "holds_all", "rdfs_conditions" ] }, { "name": "reflexivity_needs_rdfs_Class", "proved_in": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 912, "unconditional": false, "names_shipping_functions": [ "rdfs_Class", "rdfs_subClassOf" ], "names_declarative_relations": [ "cond_subClassOf_refl", "icext" ] }, { "name": "rdf_property_axiom_closure_licensed", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 205, "unconditional": true, "names_shipping_functions": [ "rdf_property_axiom_closure" ], "names_declarative_relations": [ "rdfD2_derives" ] }, { "name": "rdfs_rule_domain_licensed", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 252, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_domain" ], "names_declarative_relations": [ "ig_wf_pred", "licensed_by2", "rdfs2_derives" ] }, { "name": "rdfs_rule_range_licensed", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 303, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_range" ], "names_declarative_relations": [ "ig_wf_pred", "licensed_by2", "rdfs3_derives" ] }, { "name": "rdfs_rule_subPropertyOf_licensed", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 362, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_subPropertyOf" ], "names_declarative_relations": [ "ig_wf_pred", "licensed_by2", "rdfs7_derives" ] }, { "name": "rdfs_rule_subClassOf_licensed", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 460, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_subClassOf" ], "names_declarative_relations": [ "ig_wf_sp", "licensed_by2", "rdfs9_derives2" ] }, { "name": "rdfs_rule_subClassOf_trans_licensed", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 517, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_subClassOf_trans" ], "names_declarative_relations": [ "ig_wf_sp", "licensed_by2", "rdfs11_derives2" ] }, { "name": "rdfs_rule_subPropertyOf_trans_licensed", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 575, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_subPropertyOf_trans" ], "names_declarative_relations": [ "ig_wf_sp", "licensed_by2", "rdfs5_derives2" ] }, { "name": "lemma_rdf_member_iris", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 650, "unconditional": true, "names_shipping_functions": [ "rdf_1", "rdf_2", "rdf_3", "rdf_4", "rdf_5" ], "names_declarative_relations": [ "is_rdf_member_iri" ] }, { "name": "rdfs_rule_container_membership_licensed", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 675, "unconditional": true, "names_shipping_functions": [ "rdfs_rule_container_membership" ], "names_declarative_relations": [ "rdfs_axiomatic", "rdfs_member_subproperty" ] }, { "name": "rdfs_rule_recognized_datatypes_licensed", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 790, "unconditional": true, "names_shipping_functions": [ "rdfs_rule_recognized_datatypes" ], "names_declarative_relations": [ "rdfs1_derives" ] }, { "name": "rdfs_rule_resource_subject_licensed", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 826, "unconditional": true, "names_shipping_functions": [ "rdfs_rule_resource_subject" ], "names_declarative_relations": [ "licensed_by", "rdfs4a_derives" ] }, { "name": "rdfs_rule_resource_object_licensed", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 853, "unconditional": true, "names_shipping_functions": [ "rdfs_rule_resource_object" ], "names_declarative_relations": [ "licensed_by", "rdfs4b_derives" ] }, { "name": "rdfs_rule_class_subclass_resource_licensed", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 881, "unconditional": true, "names_shipping_functions": [ "rdfs_rule_class_subclass_resource" ], "names_declarative_relations": [ "licensed_by", "rdfs8_derives" ] }, { "name": "rdfs_rule_datatype_subclass_literal_licensed", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 911, "unconditional": true, "names_shipping_functions": [ "rdfs_rule_datatype_subclass_literal" ], "names_declarative_relations": [ "licensed_by", "rdfs13_derives" ] }, { "name": "lemma_snapshot_carries_elim", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 992, "unconditional": false, "names_shipping_functions": [ "snapshot_carries" ], "names_declarative_relations": [ "ig_wf_sp" ] }, { "name": "lemma_emit_once", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1011, "unconditional": false, "names_shipping_functions": [ "emit_once" ], "names_declarative_relations": [ "ig_wf_sp", "snapshot_subset" ] }, { "name": "lemma_emit_once_all", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1028, "unconditional": false, "names_shipping_functions": [ "emit_once" ], "names_declarative_relations": [ "ig_wf_sp", "snapshot_subset" ] }, { "name": "rdfs_rule_recognized_datatypes_complete", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1112, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_recognized_datatypes", "recognized_datatypes" ], "names_declarative_relations": [ "ig_wf_sp", "snapshot_subset" ] }, { "name": "rdfs_rule_resource_subject_complete", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1133, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_resource_subject" ], "names_declarative_relations": [ "ig_wf_sp", "snapshot_subset" ] }, { "name": "rdfs_rule_resource_object_complete", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1153, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_resource_object" ], "names_declarative_relations": [ "ig_wf_sp", "snapshot_subset" ] }, { "name": "rdfs_rule_class_subclass_resource_complete", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1173, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_class_subclass_resource" ], "names_declarative_relations": [ "ig_wf_sp", "snapshot_subset" ] }, { "name": "rdfs_rule_datatype_subclass_literal_complete", "proved_in": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1193, "unconditional": false, "names_shipping_functions": [ "rdfs_rule_datatype_subclass_literal" ], "names_declarative_relations": [ "ig_wf_sp", "snapshot_subset" ] }, { "name": 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"SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2395, "unconditional": false, "names_shipping_functions": [ "distinct_solutions", "sm_domain", "sm_equal" ] }, { "name": "lemma_substitute_pattern_preserves_size", "proved_in": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 4976, "unconditional": true, "names_shipping_functions": [ "group_graph_pattern", "pattern_size", "substitute_pattern" ] }, { "name": "lemma_lateral_substitute_preserves_size", "proved_in": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 5031, "unconditional": true, "names_shipping_functions": [ "group_graph_pattern", "lateral_substitute", "pattern_size" ] }, { "name": "lemma_rewrite_query_bnodes_pattern_preserves_size", "proved_in": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 5890, "unconditional": true, "names_shipping_functions": [ "group_graph_pattern", "pattern_size", "rewrite_query_bnodes_pattern" ] }, { "name": "lemma_filter_union", "proved_in": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7469, "unconditional": true, "names_shipping_functions": [ "filter_solutions", "union" ] }, { "name": "lemma_sm_compatible_refl", "proved_in": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7544, "unconditional": false, "names_shipping_functions": [ "sm_compatible", "sm_domain" ] }, { "name": "lemma_sm_merge_empty_l", "proved_in": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7593, "unconditional": true, "names_shipping_functions": [ "sm_lookup", "sm_merge" ] }, { "name": "lemma_store_search_empty", "proved_in": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7698, "unconditional": true, "names_shipping_functions": [ "graph_to_store", "store_search" ] }, { "name": "lemma_eval_single_tp_empty", "proved_in": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7702, "unconditional": true, "names_shipping_functions": [ "eval_single_tp_store", "graph_to_store" ] }, { "name": "lemma_eval_bgp_store_empty_fuel", "proved_in": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7716, "unconditional": true, "names_shipping_functions": [ "eval_bgp_store_from_mu_fuel", "graph_to_store" ] }, { "name": "lemma_eval_pattern_bgp_is_selective_store", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 645, "unconditional": true, "names_shipping_functions": [ "eval_bgp_store", "eval_pattern", "graph_to_store_for" ] }, { "name": "lemma_ask_pattern_gives_solution", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 730, "unconditional": false, "names_shipping_functions": [ "eval_bgp_store", "graph_to_store_for" ] }, { "name": "lemma_eval_ask_query_bgp_shape", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 797, "unconditional": false, "names_shipping_functions": [ "eval_ask_query", "query" ] }, { "name": "lemma_ebv_langstring_agrees", "proved_in": "SPARQL11.Expression.Refinement", "file": "formal/fstar/SPARQL11.Expression.Refinement.fst", "line": 187, "unconditional": false, "names_shipping_functions": [ "ebv", "ebv_checked", "rdf_lang_string" ] }, { "name": "lemma_parse_object_list_simple_1", "proved_in": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 309, "unconditional": false, "names_shipping_functions": [ "fulltext_query_pred", "ggp_add_triple", "group_graph_pattern", "parse_object_list_simple" ] }, { "name": "lemma_parse_pred_obj_list_1", "proved_in": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 324, "unconditional": false, "names_shipping_functions": [ "fulltext_query_pred", "ggp_add_triple", "group_graph_pattern", "parse_pred_obj_list" ] }, { "name": "parse_select_query_token_level_query", "proved_in": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 641, "unconditional": false, "names_shipping_functions": [ "default_modifier", "parse_select_query", "query" ] } ], "internal_refinement_theorems": [ { "name": "lemma_pick_smaller_bucket_sound", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 265, "unconditional": false, "names_shipping_functions": [ "pick_smaller_bucket" ], "names_declarative_relations": [ "bucket_cand_sound" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "lemma_pick_smaller_bucket_complete", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 640, "unconditional": false, "names_shipping_functions": [ "pick_smaller_bucket" ], "names_declarative_relations": [ "bucket_cand_complete" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "lemma_ig_search_complete_selective", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 758, "unconditional": false, "names_shipping_functions": [ "ig_search" ], "names_declarative_relations": [ "bound_obj_exact" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "lemma_ig_search_complete", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 838, "unconditional": false, "names_shipping_functions": [ "ig_search" ], "names_declarative_relations": [ "bound_obj_exact" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "lemma_store_search_complete", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 843, "unconditional": false, "names_shipping_functions": [ "graph_to_store", "store_search" ], "names_declarative_relations": [ "bound_obj_exact" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "lemma_store_search_complete_for", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 850, "unconditional": false, "names_shipping_functions": [ "graph_to_store_for", "group_graph_pattern", "store_search" ], "names_declarative_relations": [ "bound_obj_exact" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "theorem_eval_bgp_subgraph", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1134, "unconditional": false, "names_shipping_functions": [ "eval_bgp" ], "names_declarative_relations": [ "bgp_frag", "bgp_subgraph_clause", "graph_frag" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "lemma_instantiate_bgp_subset", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1144, "unconditional": false, "names_shipping_functions": [ "instantiate_bgp" ], "names_declarative_relations": [ "bgp_subgraph_clause" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "theorem_eval_bgp_instantiates_into_graph", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1180, "unconditional": false, "names_shipping_functions": [ "eval_bgp", "instantiate_bgp" ], "names_declarative_relations": [ "bgp_frag", "graph_frag" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "lemma_graph_to_store_sound", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1217, "unconditional": true, "names_shipping_functions": [ "graph_to_store" ], "names_declarative_relations": [ "store_search_sound" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "lemma_graph_to_store_for_sound", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1227, "unconditional": true, "names_shipping_functions": [ "graph_to_store_for", "group_graph_pattern" ], "names_declarative_relations": [ "store_search_sound" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "lemma_eval_single_tp_sound_at", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1239, "unconditional": false, "names_shipping_functions": [ "eval_single_tp_store_default", "tp_match" ], "names_declarative_relations": [ "store_search_sound" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "theorem_eval_bgp_store_subgraph", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1328, "unconditional": false, "names_shipping_functions": [ "eval_bgp_store" ], "names_declarative_relations": [ "bgp_frag", "bgp_subgraph_clause", "graph_frag", "store_search_sound" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "theorem_eval_bgp_store_instantiates_into_graph", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1334, "unconditional": false, "names_shipping_functions": [ "eval_bgp_store", "instantiate_bgp" ], "names_declarative_relations": [ "bgp_frag", "graph_frag", "store_search_sound" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "theorem_eval_bgp_store_for_instantiates_into_graph", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1350, "unconditional": false, "names_shipping_functions": [ "eval_bgp_store", "graph_to_store_for", "group_graph_pattern", "instantiate_bgp" ], "names_declarative_relations": [ "bgp_frag", "graph_frag" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "lemma_graph_to_store_complete", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1630, "unconditional": true, "names_shipping_functions": [ "graph_to_store" ], "names_declarative_relations": [ "store_search_complete" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "lemma_graph_to_store_for_complete", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1639, "unconditional": true, "names_shipping_functions": [ "graph_to_store_for", "group_graph_pattern" ], "names_declarative_relations": [ "store_search_complete" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "lemma_subgraph_clause_of_instantiated", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1858, "unconditional": false, "names_shipping_functions": [ "instantiate_bgp", "instantiate_tp" ], "names_declarative_relations": [ "bgp_subgraph_clause" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "theorem_eval_bgp_store_complete_answer", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1883, "unconditional": false, "names_shipping_functions": [ "eval_bgp_store", "instantiate_bgp" ], "names_declarative_relations": [ "bgp_frag", "bgp_subgraph_clause", "graph_frag", "store_search_complete", "store_search_sound" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "theorem_eval_bgp_store_complete_from_subset", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1908, "unconditional": false, "names_shipping_functions": [ "eval_bgp_store", "instantiate_bgp", "instantiate_tp" ], "names_declarative_relations": [ "bgp_frag", "graph_frag", "store_search_complete", "store_search_sound" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "theorem_eval_bgp_complete_from_subset", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1924, "unconditional": false, "names_shipping_functions": [ "eval_bgp", "instantiate_bgp", "instantiate_tp" ], "names_declarative_relations": [ "bgp_frag", "graph_frag" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "theorem_eval_bgp_store_for_complete_from_subset", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1942, "unconditional": false, "names_shipping_functions": [ "eval_bgp_store", "graph_to_store_for", "group_graph_pattern", "instantiate_bgp", "instantiate_tp" ], "names_declarative_relations": [ "bgp_frag", "graph_frag" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "lemma_eval_single_tp_store_domain", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 2088, "unconditional": false, "names_shipping_functions": [ "eval_single_tp_store", "tp_vars" ], "names_declarative_relations": [ "tp_frag" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "theorem_eval_bgp_store_domain_fuel", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 2157, "unconditional": false, "names_shipping_functions": [ "eval_bgp_store_from_mu_fuel" ], "names_declarative_relations": [ "bgp_dom_grow_clause", "bgp_frag" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "theorem_eval_bgp_domain", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 2195, "unconditional": false, "names_shipping_functions": [ "eval_bgp", "sm_empty" ], "names_declarative_relations": [ "bgp_dom_grow_clause", "bgp_frag" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "theorem_eval_bgp_dom_clause", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 2210, "unconditional": false, "names_shipping_functions": [ "eval_bgp" ], "names_declarative_relations": [ "bgp_dom_clause", "bgp_frag" ], "declarative_relations_from": [ "SPARQL11.Algebra.BGPRefinement" ] }, { "name": "lemma_sm_compatible_sound", "proved_in": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 215, "unconditional": false, "names_shipping_functions": [ "sm_compatible" ], "names_declarative_relations": [ "smap_exact" ], "declarative_relations_from": [ "SPARQL11.Algebra.Refinement" ] }, { "name": "lemma_try_bind_term_instantiates", "proved_in": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1471, "unconditional": false, "names_shipping_functions": [ "bound_object_of_pattern", "try_bind_term" ], "names_declarative_relations": [ "binding_extends", "ptrm_exact", "smap_exact", "term_exact" ], "declarative_relations_from": [ "SPARQL11.Algebra.Refinement" ] }, { "name": "lemma_try_bind_subject_instantiates", "proved_in": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1508, "unconditional": false, "names_shipping_functions": [ "bound_subject_of_pattern", "try_bind_subject" ], "names_declarative_relations": [ "binding_extends", "smap_exact" ], "declarative_relations_from": [ "SPARQL11.Algebra.Refinement" ] }, { "name": "theorem_tp_match_instantiates", "proved_in": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1538, "unconditional": false, "names_shipping_functions": [ "instantiate_tp", "tp_match" ], "names_declarative_relations": [ "binding_extends", "ptrm_exact", "smap_exact", "term_exact" ], "declarative_relations_from": [ "SPARQL11.Algebra.Refinement" ] }, { "name": "theorem_sort_solutions_sorted", "proved_in": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1901, "unconditional": false, "names_shipping_functions": [ "compare_on_conditions", "order_condition", "sort_solutions" ], "names_declarative_relations": [ "sorted_by", "totality_on", "transitivity_on" ], "declarative_relations_from": [ "SPARQL11.Algebra.Refinement" ] }, { "name": "lemma_sparql_order_numeric_frag_totality", "proved_in": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2015, "unconditional": false, "names_shipping_functions": [ "sparql_order" ], "names_declarative_relations": [ "er_num_plain" ], "declarative_relations_from": [ "SPARQL11.Algebra.Refinement" ] }, { "name": "lemma_sparql_order_numeric_frag_trans", "proved_in": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2050, "unconditional": false, "names_shipping_functions": [ "sparql_order" ], "names_declarative_relations": [ "er_num_plain" ], "declarative_relations_from": [ "SPARQL11.Algebra.Refinement" ] }, { "name": "lemma_smap_ground_lookup", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 285, "unconditional": false, "names_shipping_functions": [ "sm_lookup" ], "names_declarative_relations": [ "smap_ground", "term_ground" ], "declarative_relations_from": [ "SPARQL11.EntailmentRegime.RDFS" ] }, { "name": "lemma_bound_subject_ground", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 293, "unconditional": false, "names_shipping_functions": [ "bound_subject_of_pattern" ], "names_declarative_relations": [ "smap_ground", "subject_ground" ], "declarative_relations_from": [ "SPARQL11.EntailmentRegime.RDFS" ] }, { "name": "lemma_bound_object_ground", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 304, "unconditional": false, "names_shipping_functions": [ "bound_object_of_pattern" ], "names_declarative_relations": [ "smap_ground", "term_ground" ], "declarative_relations_from": [ "SPARQL11.EntailmentRegime.RDFS" ] }, { "name": "lemma_instantiate_tp_ground", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 320, "unconditional": false, "names_shipping_functions": [ "instantiate_tp" ], "names_declarative_relations": [ "smap_ground", "tp_ground_positions", "triple_ground" ], "declarative_relations_from": [ "SPARQL11.EntailmentRegime.RDFS" ] }, { "name": "lemma_instantiate_bgp_ground", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 340, "unconditional": false, "names_shipping_functions": [ "instantiate_bgp" ], "names_declarative_relations": [ "bgp_ground_positions", "smap_ground" ], "declarative_relations_from": [ "SPARQL11.EntailmentRegime.RDFS" ] }, { "name": "theorem_rdfs_regime_bgp_sound", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 532, "unconditional": false, "names_shipping_functions": [ "eval_bgp", "instantiate_bgp", "rho_df_closure" ], "names_declarative_relations": [ "bgp_frag", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ] }, { "name": "theorem_rdfs_regime_bgp_complete_conditional", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 583, "unconditional": false, "names_shipping_functions": [ "eval_bgp", "instantiate_bgp", "rho_df_closure" ], "names_declarative_relations": [ "eval_bgp_complete_at", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.EntailmentRegime.RDFS" ] }, { "name": "theorem_rdfs_regime_bgp_exact", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 606, "unconditional": false, "names_shipping_functions": [ "eval_bgp", "instantiate_bgp", "rho_df_closure" ], "names_declarative_relations": [ "bgp_frag", "eval_bgp_complete_at", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ] }, { "name": "theorem_rdfs_regime_ask_sound", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 662, "unconditional": false, "names_shipping_functions": [ "instantiate_bgp", "rho_df_closure" ], "names_declarative_relations": [ "bgp_frag", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ] }, { "name": "theorem_rdfs_regime_ask_complete_conditional", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 684, "unconditional": false, "names_shipping_functions": [ "instantiate_bgp", "rho_df_closure" ], "names_declarative_relations": [ "eval_bgp_complete_at", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.EntailmentRegime.RDFS" ] }, { "name": "theorem_rdfs_regime_bgp_sound_selective", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 747, "unconditional": false, "names_shipping_functions": [ "eval_bgp_store", "graph_to_store_for", "instantiate_bgp", "rho_df_closure" ], "names_declarative_relations": [ "bgp_frag", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ] }, { "name": "theorem_rdfs_regime_ask_pattern_sound", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 768, "unconditional": false, "names_shipping_functions": [ "instantiate_bgp", "rho_df_closure" ], "names_declarative_relations": [ "bgp_frag", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ] }, { "name": "theorem_rdfs_regime_ask_query_sound", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 814, "unconditional": false, "names_shipping_functions": [ "eval_ask_query", "instantiate_bgp", "query", "rho_df_closure" ], "names_declarative_relations": [ "bgp_frag", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ] }, { "name": "theorem_rdfs_regime_bgp_complete_conditional_selective", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 854, "unconditional": false, "names_shipping_functions": [ "eval_bgp_store", "graph_to_store_for", "instantiate_bgp", "rho_df_closure" ], "names_declarative_relations": [ "eval_bgp_store_complete_at", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.EntailmentRegime.RDFS" ] }, { "name": "theorem_rdfs_regime_ask_query_complete_conditional", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 873, "unconditional": false, "names_shipping_functions": [ "eval_ask_query", "instantiate_bgp", "query", "rho_df_closure" ], "names_declarative_relations": [ "eval_bgp_store_complete_at", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.EntailmentRegime.RDFS" ] }, { "name": "lemma_regime_answer_is_subgraph", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 958, "unconditional": false, "names_shipping_functions": [ "instantiate_bgp", "rho_df_closure" ], "names_declarative_relations": [ "rho_df_decides_hyps", "rho_df_entails" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.EntailmentRegime.RDFS" ] }, { "name": "theorem_rdfs_regime_bgp_complete", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 981, "unconditional": false, "names_shipping_functions": [ "eval_bgp", "instantiate_bgp", "rho_df_closure" ], "names_declarative_relations": [ "bgp_frag", "bgp_instantiable", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ] }, { "name": "theorem_rdfs_regime_bgp_exact_answer", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 1005, "unconditional": false, "names_shipping_functions": [ "eval_bgp", "instantiate_bgp", "rho_df_closure" ], "names_declarative_relations": [ "bgp_frag", "bgp_instantiable", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ] }, { "name": "theorem_rdfs_regime_ask_complete", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 1034, "unconditional": false, "names_shipping_functions": [ "instantiate_bgp", "rho_df_closure" ], "names_declarative_relations": [ "bgp_frag", "bgp_instantiable", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ] }, { "name": "theorem_rdfs_regime_bgp_complete_selective", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 1061, "unconditional": false, "names_shipping_functions": [ "eval_bgp_store", "graph_to_store_for", "instantiate_bgp", "rho_df_closure" ], "names_declarative_relations": [ "bgp_frag", "bgp_instantiable", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ] }, { "name": "theorem_rdfs_regime_ask_query_complete", "proved_in": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 1089, "unconditional": false, "names_shipping_functions": [ "eval_ask_query", "instantiate_bgp", "query", "rho_df_closure" ], "names_declarative_relations": [ "bgp_frag", "bgp_instantiable", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_relations_from": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ] } ], "w3c_refinement_theorems": [ { "name": "theorem_tp_match_instantiates_ext", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 881, "unconditional": false, "names_shipping_functions": [ "instantiate_tp", "tp_match" ], "names_declarative_relations": [ "binding_extends", "ptrm_exact", "smap_exact", "term_exact" ] }, { "name": "theorem_eval_bgp_sound_fuel", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1069, "unconditional": false, "names_shipping_functions": [ "eval_bgp_store_from_mu_fuel", "graph_to_store" ], "names_declarative_relations": [ "bgp_frag", "bgp_subgraph_clause", "binding_extends", "graph_frag", "smap_exact" ] }, { "name": "lemma_bgp_sol_spec_from_subgraph_clause", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1168, "unconditional": false, "names_shipping_functions": [ "instantiate_tp" ], "names_declarative_relations": [ "bgp_sol_spec", "bgp_subgraph_clause" ] }, { "name": "theorem_eval_bgp_store_sound_fuel", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1264, "unconditional": false, "names_shipping_functions": [ "eval_bgp_store_from_mu_fuel" ], "names_declarative_relations": [ "bgp_frag", "bgp_subgraph_clause", "binding_extends", "graph_frag", "smap_exact", "store_search_sound" ] }, { "name": "lemma_term_exact_subject", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1373, "unconditional": true, "names_shipping_functions": [ "subject_to_term" ], "names_declarative_relations": [ "term_exact" ] }, { "name": "lemma_bound_subject_mono", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1395, "unconditional": false, "names_shipping_functions": [ "bound_subject_of_pattern" ], "names_declarative_relations": [ "binding_extends" ] }, { "name": "lemma_bound_predicate_mono", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1415, "unconditional": false, "names_shipping_functions": [ "bound_predicate_of_pattern" ], "names_declarative_relations": [ "binding_extends" ] }, { "name": "lemma_bound_object_mono", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1431, "unconditional": false, "names_shipping_functions": [ "bound_object_of_pattern" ], "names_declarative_relations": [ "binding_extends" ] }, { "name": "lemma_bound_object_exact", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1462, "unconditional": false, "names_shipping_functions": [ "bound_object_of_pattern" ], "names_declarative_relations": [ "ptrm_exact", "smap_exact", "term_exact" ] }, { "name": "lemma_sm_bind_extends", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1481, "unconditional": false, "names_shipping_functions": [ "sm_bind" ], "names_declarative_relations": [ "binding_extends" ] }, { "name": "lemma_sm_bind_under", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1486, "unconditional": false, "names_shipping_functions": [ "sm_bind" ], "names_declarative_relations": [ "binding_extends" ] }, { "name": "lemma_try_bind_subject_complete", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1497, "unconditional": false, "names_shipping_functions": [ "bound_subject_of_pattern", "try_bind_subject" ], "names_declarative_relations": [ "binding_extends", "smap_exact" ] }, { "name": "lemma_try_bind_term_complete", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1529, "unconditional": false, "names_shipping_functions": [ "bound_object_of_pattern", "try_bind_term" ], "names_declarative_relations": [ "binding_extends", "smap_exact", "term_exact" ] }, { "name": "lemma_tp_match_complete", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1558, "unconditional": false, "names_shipping_functions": [ "instantiate_tp", "tp_match" ], "names_declarative_relations": [ "binding_extends", "smap_exact", "term_exact" ] }, { "name": "lemma_bound_holds_of_instantiate", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1598, "unconditional": false, "names_shipping_functions": [ "instantiate_tp" ], "names_declarative_relations": [ "binding_extends" ] }, { "name": "lemma_eval_single_tp_complete_at", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1660, "unconditional": false, "names_shipping_functions": [ "instantiate_tp" ], "names_declarative_relations": [ "binding_extends", "graph_frag", "single_tp_goal", "smap_exact", "store_search_complete", "tp_frag" ] }, { "name": "theorem_eval_bgp_store_complete", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1796, "unconditional": false, "names_shipping_functions": [ "eval_bgp_store" ], "names_declarative_relations": [ "bgp_frag", "bgp_subgraph_clause", "binding_extends", "graph_frag", "smap_exact", "store_search_complete" ] }, { "name": "theorem_eval_bgp_complete", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1804, "unconditional": false, "names_shipping_functions": [ "eval_bgp" ], "names_declarative_relations": [ "bgp_frag", "bgp_subgraph_clause", "binding_extends", "graph_frag", "smap_exact" ] }, { "name": "lemma_instantiate_tp_mono", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1830, "unconditional": false, "names_shipping_functions": [ "instantiate_tp" ], "names_declarative_relations": [ "binding_extends" ] }, { "name": "lemma_instantiate_bgp_agree", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1839, "unconditional": false, "names_shipping_functions": [ "instantiate_bgp", "instantiate_tp" ], "names_declarative_relations": [ "binding_extends" ] }, { "name": "theorem_eval_bgp_full_spec", "proved_in": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 2223, "unconditional": false, "names_shipping_functions": [ "eval_bgp", "instantiate_tp", "tp_vars" ], "names_declarative_relations": [ "bgp_frag", "bgp_sol_spec", "graph_frag" ] }, { "name": "theorem_sm_compatible_sound", "proved_in": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 226, "unconditional": false, "names_shipping_functions": [ "sm_compatible" ], "names_declarative_relations": [ "compatible_spec", "smap_exact" ] }, { "name": "theorem_sm_compatible_complete", "proved_in": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 244, "unconditional": false, "names_shipping_functions": [ "sm_compatible" ], "names_declarative_relations": [ "compatible_spec" ] }, { "name": "theorem_sm_merge_is_merge", "proved_in": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 280, "unconditional": true, "names_shipping_functions": [ "sm_merge" ], "names_declarative_relations": [ "is_merge" ] }, { "name": "theorem_domains_disjoint_sound", "proved_in": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 287, "unconditional": false, "names_shipping_functions": [ "domains_disjoint" ], "names_declarative_relations": [ "dom_disjoint_spec" ] }, { "name": "theorem_domains_disjoint_complete", "proved_in": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 301, "unconditional": false, "names_shipping_functions": [ "domains_disjoint" ], "names_declarative_relations": [ "dom_disjoint_spec" ] }, { "name": "theorem_union_card", "proved_in": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 346, "unconditional": true, "names_shipping_functions": [ "union" ], "names_declarative_relations": [ "union_card_spec" ] }, { "name": "theorem_union_sound", "proved_in": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 353, "unconditional": false, "names_shipping_functions": [ "union" ], "names_declarative_relations": [ "in_union_spec" ] }, { "name": "lemma_sm_lookup_congr", "proved_in": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 485, "unconditional": false, "names_shipping_functions": [ "sm_lookup" ], 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"declarative_relations_named": [ "store" ], "declarative_modules": [ "LWS.Core.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lws_core_11_four_operations", "host_module": "LWS.Core.Spec", "file": "formal/fstar/LWS.Core.Spec.fsti", "line": 497, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "store" ], "declarative_modules": [ "LWS.Core.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lws_core_12_created_is_not_success", "host_module": "LWS.Core.Spec", "file": "formal/fstar/LWS.Core.Spec.fsti", "line": 516, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "store" ], "declarative_modules": [ "LWS.Core.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "rect_index_lemma", "host_module": "Math.Matrix", "file": "formal/fstar/Math.Matrix.fst", "line": 60, "unconditional": false, "shipping_functions_named": [ "rect" ], "shipping_modules": [ "Math.Matrix" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_vocab_sameas_agree", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 78, "unconditional": true, "shipping_functions_named": [ "owl_sameAs" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_subj_term_agree", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 81, "unconditional": true, "shipping_functions_named": [ "subject_to_term" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_term_to_subject_subj_term", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 88, "unconditional": false, "shipping_functions_named": [ "term_to_subject" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_dedup_pairs_memP", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 117, "unconditional": true, "shipping_functions_named": [ "dedup_pairs_sorted_aux" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sameas_pairs_provenance", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 129, "unconditional": true, "shipping_functions_named": [ "sameas_pairs" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "pairs_licensed" ], "declarative_modules": [ "OWL.RL.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "owl_rule_sameAs_symmetry_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 171, "unconditional": true, "shipping_functions_named": [ "owl_rule_sameAs_symmetry" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "eq_sym_licensed" ], "declarative_modules": [ "OWL.RL.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_sameAs_symmetry_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 213, "unconditional": false, "shipping_functions_named": [ "owl_rule_sameAs_symmetry" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "eq_sym_derives" ], "declarative_modules": [ "OWL.RL.Spec" ], "independent_formalisation_modules": [ "OWL.RL.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_collect_nodes_provenance", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 243, "unconditional": true, "shipping_functions_named": [ "collect_iri_or_bnode_terms" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "nodes_licensed" ], "declarative_modules": [ "OWL.RL.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "owl_rule_sameAs_reflexivity_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 274, "unconditional": true, "shipping_functions_named": [ "owl_rule_sameAs_reflexivity" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "eq_ref_licensed" ], "declarative_modules": [ "OWL.RL.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_sameAs_reflexivity_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 313, "unconditional": false, "shipping_functions_named": [ "owl_rule_sameAs_reflexivity" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "eq_ref_derives" ], "declarative_modules": [ "OWL.RL.Spec" ], "independent_formalisation_modules": [ "OWL.RL.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_vocab_symp_agree", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 332, "unconditional": true, "shipping_functions_named": [ "owl_SymmetricProperty", "rdf_type" ], "shipping_modules": [ "OWL.Closure", "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_rdf_term_eq_iri", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 339, "unconditional": false, "shipping_functions_named": [ "rdf_term_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_cons_if_new_iri_memP", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 346, "unconditional": true, "shipping_functions_named": [ "cons_if_new_iri" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], 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"independent_formalisation_modules": [ "OWL.RL.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_vocab_eqc_agree", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 461, "unconditional": true, "shipping_functions_named": [ "owl_equivalentClass", "rdfs_subClassOf" ], "shipping_modules": [ "OWL.Closure", "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "owl_rule_equivalent_class_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 469, "unconditional": true, "shipping_functions_named": [ "owl_rule_equivalent_class" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "scm_eqc1_licensed" ], "declarative_modules": [ "OWL.RL.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_equivalent_class_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 529, "unconditional": false, "shipping_functions_named": [ "owl_rule_equivalent_class" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "scm_eqc1_derives" ], "declarative_modules": [ "OWL.RL.Spec" ], "independent_formalisation_modules": [ "OWL.RL.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_vocab_eqp_agree", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 560, "unconditional": true, "shipping_functions_named": [ "owl_equivalentProperty", "rdfs_subPropertyOf" ], "shipping_modules": [ "OWL.Closure", "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "owl_rule_equivalent_property_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 568, "unconditional": true, "shipping_functions_named": [ "owl_rule_equivalent_property" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "scm_eqp1_licensed" ], "declarative_modules": [ "OWL.RL.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_equivalent_property_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 614, "unconditional": false, "shipping_functions_named": [ "owl_rule_equivalent_property" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "scm_eqp1_derives" ], "declarative_modules": [ "OWL.RL.Spec" ], "independent_formalisation_modules": [ "OWL.RL.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_vocab_inv_agree", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 673, "unconditional": true, "shipping_functions_named": [ "owl_inverseOf" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "owl_rule_inverse_of_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 682, "unconditional": true, "shipping_functions_named": [ "owl_rule_inverse_of" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "inv_licensed" ], "declarative_modules": [ "OWL.RL.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_inverse_of_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 756, "unconditional": false, "shipping_functions_named": [ "owl_rule_inverse_of" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "prp_inv1_derives", "prp_inv2_derives" ], "declarative_modules": [ "OWL.RL.Spec" ], "independent_formalisation_modules": [ "OWL.RL.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_find_objects_indexed_sp_elim", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 814, "unconditional": false, "shipping_functions_named": [ "find_objects_indexed" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_sameAs_transitivity_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 830, "unconditional": false, "shipping_functions_named": [ "owl_rule_sameAs_transitivity" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "eq_trans_licensed", "ig_wf_sp" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_sameAs_transitivity_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 893, "unconditional": false, "shipping_functions_named": [ "owl_rule_sameAs_transitivity" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "eq_trans_derives", "ig_wf_sp" ], "declarative_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_vocab_trp_agree", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 922, "unconditional": true, "shipping_functions_named": [ "owl_TransitiveProperty", "rdf_type" ], "shipping_modules": [ "OWL.Closure", "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "owl_rule_transitive_property_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 944, "unconditional": false, "shipping_functions_named": [ "owl_rule_transitive_property" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "prp_trp_licensed" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_transitive_property_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1044, "unconditional": false, 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"OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_sameAs_replace_predicate_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1635, "unconditional": false, "shipping_functions_named": [ "owl_rule_sameAs_replace_predicate" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "eq_rep_p_derives", "ig_wf_pred" ], "declarative_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_scm_eqp2_emission_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1699, "unconditional": false, "shipping_functions_named": [ "find_objects_indexed", "owl_equivalentProperty", "rdfs_subPropertyOf", "term_is_iri" ], "shipping_modules": [ "OWL.Closure", "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "scm_eqp2_derives" ], "declarative_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_scm_eqp2_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1758, "unconditional": false, "shipping_functions_named": [ "owl_rule_scm_eqp2" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "scm_eqp2_licensed" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_scm_eqp2_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1803, "unconditional": false, "shipping_functions_named": [ "owl_rule_scm_eqp2" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "scm_eqp2_derives" ], "declarative_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_vocab_dom_agree", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1881, "unconditional": true, "shipping_functions_named": [ "rdfs_domain", "rdfs_subClassOf" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "owl_rule_scm_dom2_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 1891, "unconditional": false, "shipping_functions_named": [ "owl_rule_scm_dom2" ], "shipping_modules": [ "OWL.Closure" ], 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"RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "owl_rule_scm_rng2_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2026, "unconditional": false, "shipping_functions_named": [ "owl_rule_scm_rng2" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "scm_rng1_licensed" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_scm_rng2_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2109, "unconditional": false, "shipping_functions_named": [ "owl_rule_scm_rng2" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "scm_rng1_derives" ], "declarative_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_subprop_domain_range_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2201, "unconditional": false, "shipping_functions_named": [ "owl_rule_subprop_domain_range" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "subprop_domain_range_licensed" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_subprop_domain_range_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2349, "unconditional": false, "shipping_functions_named": [ "owl_rule_subprop_domain_range" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "scm_dom2_derives", "scm_rng2_derives" ], "declarative_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_vocab_list_agree", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2387, "unconditional": true, "shipping_functions_named": [ "rdf_first", "rdf_nil_iri", "rdf_rest" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_decode_iri_list_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2406, "unconditional": false, "shipping_functions_named": [ "decode_iri_list" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "owl_list_denotes" ], "declarative_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_vocab_cls_oo_agree", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2491, "unconditional": true, "shipping_functions_named": [ "owl_oneOf_iri", "rdf_type" ], "shipping_modules": [ "OWL.Closure", "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "owl_rule_cls_oneof_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2498, "unconditional": false, "shipping_functions_named": [ "owl_rule_cls_oneof" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cls_oo_licensed", "ig_wf_sp" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_cls_oneof_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2551, "unconditional": false, "shipping_functions_named": [ "owl_rule_cls_oneof" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cls_oo_derives", "ig_wf_sp" ], "declarative_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_vocab_cls_int_agree", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2630, "unconditional": true, "shipping_functions_named": [ "owl_intersectionOf_iri", "rdf_type" ], "shipping_modules": [ "OWL.Closure", "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "owl_rule_cls_int1_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2736, "unconditional": false, "shipping_functions_named": [ "owl_rule_cls_int1" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cls_int2_licensed", "ig_wf_po_spec", "ig_wf_sp" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_cls_int1_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2800, "unconditional": false, "shipping_functions_named": [ "owl_rule_cls_int1" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cls_int2_derives", "ig_wf_po_spec", "ig_wf_sp" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.RL.Spec", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_vocab_cls_uni_agree", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2863, "unconditional": true, "shipping_functions_named": [ "owl_unionOf_iri", "rdfs_subClassOf" ], "shipping_modules": [ "OWL.Closure", "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_single_add_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2919, "unconditional": false, "shipping_functions_named": [ "add_triple_unchecked" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [ "cls_disjoint_union_ext_derives", "cls_uni_licensed", "scm_uni_derives" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.RL.Spec" ], "independent_formalisation_modules": [ "OWL.RL.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_no_disjoint_union_elim", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2954, "unconditional": false, "shipping_functions_named": [ "owl_disjointUnionOf_iri" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "no_disjoint_union" ], "declarative_modules": [ "OWL.RL.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_fold_left_ext", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 2978, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "owl_rule_cls_uni_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3112, "unconditional": false, "shipping_functions_named": [ "owl_rule_cls_uni" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cls_uni_licensed", "ig_wf_sp" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_cls_uni_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3211, "unconditional": false, "shipping_functions_named": [ "owl_rule_cls_uni" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cls_disjoint_union_ext_derives", "ig_wf_sp", "scm_uni_derives" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.RL.Spec", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_vocab_key_agree", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3339, "unconditional": true, "shipping_functions_named": [ "owl_hasKey" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_collect_haskey_axioms_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3365, "unconditional": true, "shipping_functions_named": [ "collect_haskey_axioms" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "haskey_axioms_licensed" ], "declarative_modules": [ "OWL.RL.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_members_of_class_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3424, "unconditional": true, "shipping_functions_named": [ "members_of_class" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "class_members_licensed" ], "declarative_modules": [ "OWL.RL.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_agree_on_property_overapproximates_shares_key_values", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3475, "unconditional": true, "shipping_functions_named": [ "rdf_term_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_all_keys_match_shares_approx", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3522, "unconditional": false, "shipping_functions_named": [ "all_keys_match" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "shares_key_values_approx" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_prp_key_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3617, "unconditional": false, "shipping_functions_named": [ "owl_rule_prp_key" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "prp_key_licensed" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_prp_key_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3705, "unconditional": false, "shipping_functions_named": [ "owl_rule_prp_key" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "prp_key_derives_approx" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_vocab_fp_agree", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3767, "unconditional": true, "shipping_functions_named": [ "owl_FunctionalProperty", "rdf_type" ], "shipping_modules": [ "OWL.Closure", "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_prp_fp_derives_intro", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3798, "unconditional": false, "shipping_functions_named": [ "owl_sameAs" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "fp_from_decl", "prp_fp_derives" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.RL.Spec" ], "independent_formalisation_modules": [ "OWL.RL.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_functional_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3809, "unconditional": false, "shipping_functions_named": [ "owl_rule_functional" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "prp_fp_licensed" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_functional_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3892, "unconditional": false, "shipping_functions_named": [ "owl_rule_functional" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "prp_fp_derives" ], "declarative_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_vocab_ifp_agree", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3970, "unconditional": true, "shipping_functions_named": [ "owl_InverseFunctionalProperty", "rdf_type" ], "shipping_modules": [ "OWL.Closure", "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_prp_ifp_derives_intro", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 3989, "unconditional": false, "shipping_functions_named": [ "owl_sameAs" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "ifp_from_decl", "prp_ifp_derives" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.RL.Spec" ], "independent_formalisation_modules": [ "OWL.RL.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_find_subjects_indexed_wf", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4023, "unconditional": false, "shipping_functions_named": [ "find_subjects_indexed" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "graph_literal_match_exact", "ig_wf_po", "ig_wf_pred" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_inverse_functional_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4078, "unconditional": false, "shipping_functions_named": [ "owl_rule_inverse_functional" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "graph_literal_match_exact", "ig_wf_po", "ig_wf_pred", "prp_ifp_licensed" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_inverse_functional_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4147, "unconditional": false, "shipping_functions_named": [ "owl_rule_inverse_functional" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "graph_literal_match_exact", "ig_wf_po", "ig_wf_pred", "prp_ifp_derives" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.RL.Spec", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_find_subjects_indexed_wf_subj", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4196, "unconditional": false, "shipping_functions_named": [ "find_subjects_indexed", "subject_to_term" ], "shipping_modules": [ "RDF.Graph", "RDF.Indexed" ], "declarative_relations_named": [ "ig_wf_po" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_vocab_hv_agree", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4217, "unconditional": true, "shipping_functions_named": [ "owl_hasValue_iri", "owl_onProperty_iri", "rdf_type" ], "shipping_modules": [ "OWL.Closure", "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_cls_hv1_row_intro", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4247, "unconditional": false, "shipping_functions_named": [ "find_subjects_indexed", "owl_hasValue_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "shipping_modules": [ "OWL.Closure", "RDF.Graph", "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "cls_hv1_derives", "ig_wf_po" ], "declarative_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_cls_hv1_members_fold", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4282, "unconditional": false, "shipping_functions_named": [ "find_subjects_indexed", "owl_cls_hv1_emit", "owl_hasValue_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "shipping_modules": [ "OWL.Closure", "RDF.Graph", "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "cls_hv1_licensed", "ig_wf_po" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_cls_hv1_mid_step", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4313, "unconditional": false, "shipping_functions_named": [ "find_objects_indexed", "owl_cls_hv1_mid", "owl_hasValue_iri", "owl_onProperty_iri" ], "shipping_modules": [ "OWL.Closure", "RDF.Indexed" ], "declarative_relations_named": [ "cls_hv1_licensed", "ig_wf_po", "ig_wf_sp" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_cls_hv1_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4344, "unconditional": false, "shipping_functions_named": [ "owl_rule_cls_hv1" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cls_hv1_licensed", "ig_wf_po", "ig_wf_sp" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_cls_hv1_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4374, "unconditional": false, "shipping_functions_named": [ "owl_rule_cls_hv1" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cls_hv1_derives", "ig_wf_po", "ig_wf_sp" ], "declarative_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_find_subjects_indexed_wf_approx", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4430, "unconditional": false, "shipping_functions_named": [ "find_subjects_indexed", "rdf_term_eq" ], "shipping_modules": [ "RDF.Indexed", "RDF.Term" ], "declarative_relations_named": [ "ig_wf_po", "ig_wf_pred" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_cls_hv2_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4484, "unconditional": false, "shipping_functions_named": [ "owl_rule_cls_hv2" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cls_hv2_licensed", "ig_wf_po", "ig_wf_pred", "ig_wf_sp" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_cls_hv2_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4596, "unconditional": false, "shipping_functions_named": [ "owl_rule_cls_hv2" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cls_hv2_derives_approx", "ig_wf_po", "ig_wf_pred", "ig_wf_sp" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_vocab_chain_agree", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4667, "unconditional": true, "shipping_functions_named": [ "owl_propertyChainAxiom" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_decode_chain_pair_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4671, "unconditional": false, "shipping_functions_named": [ "decode_chain_pair" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "owl_list_denotes" ], "declarative_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_prp_spo2_row_intro", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4767, "unconditional": false, "shipping_functions_named": [ "find_objects_indexed", "owl_propertyChainAxiom" ], "shipping_modules": [ "OWL.Closure", "RDF.Indexed" ], "declarative_relations_named": [ "ig_wf_sp", "owl_list_denotes", "prp_spo2_derives" ], "declarative_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_prp_spo2_mid_step", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4809, "unconditional": false, "shipping_functions_named": [ "owl_chain2_mid", "owl_propertyChainAxiom" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "owl_list_denotes", "prp_spo2_licensed" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.RL.Spec", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_property_chain_2_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4841, "unconditional": false, "shipping_functions_named": [ "owl_rule_property_chain_2" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "prp_spo2_licensed" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_property_chain_2_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4878, "unconditional": false, "shipping_functions_named": [ "owl_rule_property_chain_2" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "prp_spo2_derives" ], "declarative_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_vocab_avf_agree", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4911, "unconditional": true, "shipping_functions_named": [ "owl_allValuesFrom_iri", "owl_onProperty_iri", "rdf_type" ], "shipping_modules": [ "OWL.Closure", "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_cls_avf_row_intro", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4931, "unconditional": false, "shipping_functions_named": [ "find_objects_indexed", "find_subjects_indexed", "owl_allValuesFrom_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "shipping_modules": [ "OWL.Closure", "RDF.Graph", "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "cls_avf_derives", "ig_wf_po", "ig_wf_sp" ], "declarative_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_cls_avf_member_step", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 4979, "unconditional": false, "shipping_functions_named": [ "find_subjects_indexed", "owl_allValuesFrom_iri", "owl_cls_avf1_member", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "shipping_modules": [ "OWL.Closure", "RDF.Graph", "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "cls_avf_licensed", "ig_wf_po", "ig_wf_sp" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_cls_avf_prop_step", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 5014, "unconditional": false, "shipping_functions_named": [ "find_objects_indexed", "owl_allValuesFrom_iri", "owl_cls_avf1_prop", "owl_onProperty_iri" ], "shipping_modules": [ "OWL.Closure", "RDF.Indexed" ], "declarative_relations_named": [ "cls_avf_licensed", "ig_wf_po", "ig_wf_sp" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_cls_avf1_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 5054, "unconditional": false, "shipping_functions_named": [ "owl_rule_cls_avf1" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cls_avf_licensed", "ig_wf_po", "ig_wf_sp" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_cls_avf1_licensed", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 5086, "unconditional": false, "shipping_functions_named": [ "owl_rule_cls_avf1" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cls_avf_derives", "ig_wf_po", "ig_wf_sp" ], "declarative_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Spec", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_vocab_clash_agree", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 5169, "unconditional": true, "shipping_functions_named": [ "owl_disjointWith_iri", "owl_propertyDisjointWith", "rdf_type" ], "shipping_modules": [ "OWL.Closure", "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_rdf_term_eq_true_iri_or_bnode_l", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 5182, "unconditional": false, "shipping_functions_named": [ "rdf_term_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdf_term_eq_true_iri_or_bnode_r", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 5190, "unconditional": false, "shipping_functions_named": [ "rdf_term_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_subject_eq_true", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 5201, "unconditional": false, "shipping_functions_named": [ "subject_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_cax_adc_cax_dw_detection_sound", "host_module": "OWL.RL.Refinement", "file": "formal/fstar/OWL.RL.Refinement.fst", "line": 5227, "unconditional": false, "shipping_functions_named": [ "owl_has_disjoint_class_clash" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "rdf_type_objects_resource", "table6_clashes" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.RL.Spec" ], "independent_formalisation_modules": [ "OWL.RL.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "fold_left_inv", "host_module": "OWL.Semantics.MemLemmas", "file": "formal/fstar/OWL.Semantics.MemLemmas.fst", "line": 66, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_partition_memP", "host_module": "OWL.Semantics.MemLemmas", "file": "formal/fstar/OWL.Semantics.MemLemmas.fst", "line": 82, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sortWith_memP", "host_module": "OWL.Semantics.MemLemmas", "file": "formal/fstar/OWL.Semantics.MemLemmas.fst", "line": 92, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sortWith_memP_forall", "host_module": "OWL.Semantics.MemLemmas", "file": "formal/fstar/OWL.Semantics.MemLemmas.fst", "line": 106, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sortWith_memP_rev", "host_module": "OWL.Semantics.MemLemmas", "file": "formal/fstar/OWL.Semantics.MemLemmas.fst", "line": 120, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sortWith_memP_rev_forall", "host_module": "OWL.Semantics.MemLemmas", "file": "formal/fstar/OWL.Semantics.MemLemmas.fst", "line": 134, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rev_memP_forall", "host_module": "OWL.Semantics.MemLemmas", "file": "formal/fstar/OWL.Semantics.MemLemmas.fst", "line": 139, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_tree_ok_lookup", "host_module": "OWL.Semantics.MemLemmas", "file": "formal/fstar/OWL.Semantics.MemLemmas.fst", "line": 156, "unconditional": false, "shipping_functions_named": [ "bucket_lookup" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "tree_ok" ], "declarative_modules": [ "OWL.Semantics.MemLemmas" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_take_prefix_acc_memP", "host_module": "OWL.Semantics.MemLemmas", "file": "formal/fstar/OWL.Semantics.MemLemmas.fst", "line": 178, "unconditional": true, "shipping_functions_named": [ "take_prefix_acc" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_take_prefix_memP_forall", "host_module": "OWL.Semantics.MemLemmas", "file": "formal/fstar/OWL.Semantics.MemLemmas.fst", "line": 189, "unconditional": true, "shipping_functions_named": [ "take_prefix" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_slt_tree_ok", "host_module": "OWL.Semantics.MemLemmas", "file": "formal/fstar/OWL.Semantics.MemLemmas.fst", "line": 197, "unconditional": false, "shipping_functions_named": [ "sorted_list_to_tree_fuel" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "pairs_ok", "tree_ok" ], "declarative_modules": [ "OWL.Semantics.MemLemmas" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_decorated_ok", "host_module": "OWL.Semantics.MemLemmas", "file": "formal/fstar/OWL.Semantics.MemLemmas.fst", "line": 225, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "dec_ok" ], "declarative_modules": [ "OWL.Semantics.MemLemmas" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_group_ok", "host_module": "OWL.Semantics.MemLemmas", "file": "formal/fstar/OWL.Semantics.MemLemmas.fst", "line": 235, "unconditional": false, "shipping_functions_named": [ "group_sorted_decorated_aux" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "dec_ok", "pairs_ok" ], "declarative_modules": [ "OWL.Semantics.MemLemmas" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_pairs_ok_rev", "host_module": "OWL.Semantics.MemLemmas", "file": "formal/fstar/OWL.Semantics.MemLemmas.fst", "line": 264, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "pairs_ok" ], "declarative_modules": [ "OWL.Semantics.MemLemmas" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_build_bucket_ok", "host_module": "OWL.Semantics.MemLemmas", "file": "formal/fstar/OWL.Semantics.MemLemmas.fst", "line": 314, "unconditional": true, "shipping_functions_named": [ "build_bucket" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "tree_ok" ], "declarative_modules": [ "OWL.Semantics.MemLemmas" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_build_indexed_wf_pred", "host_module": "OWL.Semantics.MemLemmas", "file": "formal/fstar/OWL.Semantics.MemLemmas.fst", "line": 336, "unconditional": true, "shipping_functions_named": [ "bucket_lookup", "build_indexed" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_build_indexed_wf_subj_weak", "host_module": "OWL.Semantics.MemLemmas", "file": "formal/fstar/OWL.Semantics.MemLemmas.fst", "line": 357, "unconditional": true, "shipping_functions_named": [ "bucket_key_subj", "bucket_lookup", "build_indexed" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_build_indexed_wf_obj_weak", "host_module": "OWL.Semantics.MemLemmas", "file": "formal/fstar/OWL.Semantics.MemLemmas.fst", "line": 380, "unconditional": true, "shipping_functions_named": [ "bucket_key_obj", "bucket_lookup", "build_indexed" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_build_indexed_wf_sp_weak", "host_module": "OWL.Semantics.MemLemmas", "file": "formal/fstar/OWL.Semantics.MemLemmas.fst", "line": 405, "unconditional": true, "shipping_functions_named": [ "bucket_key_sp", "bucket_lookup", "build_indexed" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_build_indexed_wf_po_weak", "host_module": "OWL.Semantics.MemLemmas", "file": "formal/fstar/OWL.Semantics.MemLemmas.fst", "line": 428, "unconditional": true, "shipping_functions_named": [ "bucket_key_po", "bucket_lookup", "build_indexed" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_rdf_term_eq_iri", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 41, "unconditional": false, "shipping_functions_named": [ "rdf_term_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "owl_rule_symmetric_property_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 62, "unconditional": false, "shipping_functions_named": [ "owl_rule_symmetric_property" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_symmetric", "holds_all" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_rule_domain_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 129, "unconditional": false, "shipping_functions_named": [ "rdfs_rule_domain" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "cond_domain", "holds_all", "ig_wf_pred" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_rule_range_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 208, "unconditional": false, "shipping_functions_named": [ "rdfs_rule_range" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "cond_range", "holds_all", "ig_wf_pred" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_dedup_pairs_memP", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 288, "unconditional": true, "shipping_functions_named": [ "dedup_pairs_sorted_aux" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sameas_pairs_hold", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 307, "unconditional": false, "shipping_functions_named": [ "sameas_pairs" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "holds_all", "sameas_pairs_hold" ], "declarative_modules": [ "OWL.Semantics", "OWL.Semantics.Soundness" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_sameAs_symmetry_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 340, "unconditional": false, "shipping_functions_named": [ "owl_rule_sameAs_symmetry" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_sameas_identity", "holds_all" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "decode_iri_list_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 386, "unconditional": false, "shipping_functions_named": [ "decode_iri_list" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "holds_all", "ig_wf_sp", "seq_is" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_cls_oneof_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 455, "unconditional": false, "shipping_functions_named": [ "owl_rule_cls_oneof" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_oneof", "holds_all", "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_equivalent_class_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 515, "unconditional": false, "shipping_functions_named": [ "owl_rule_equivalent_class" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_equivalent_class", "holds_all" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_equivalent_property_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 585, "unconditional": false, "shipping_functions_named": [ "owl_rule_equivalent_property" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_equivalent_property", "holds_all" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_sameAs_reflexivity_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 647, "unconditional": false, "shipping_functions_named": [ "owl_rule_sameAs_reflexivity" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_sameas_reflexive", "holds_all" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_differentFrom_symmetry_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 687, "unconditional": false, "shipping_functions_named": [ "owl_rule_differentFrom_symmetry" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_differentfrom_symmetric", "holds_all" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_disjoint_with_propagation_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 744, "unconditional": false, "shipping_functions_named": [ "owl_rule_disjoint_with_propagation" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_complementof_disjoint", "cond_disjointwith_symmetric", "holds_all" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_symmetric_metapredicates_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 850, "unconditional": false, "shipping_functions_named": [ "owl_rule_symmetric_metapredicates" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_complementof_symmetric", "cond_disjointwith_symmetric", "cond_equivalentclass_symmetric", "cond_equivalentproperty_symmetric", "cond_inverseof_symmetric", "cond_propertydisjointwith_symmetric", "holds_all" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "decode_chain_pair_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 969, "unconditional": false, "shipping_functions_named": [ "decode_chain_pair" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "holds_all", "ig_wf_sp", "seq_is" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_chain_to_transitive_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 1030, "unconditional": false, "shipping_functions_named": [ "owl_rule_chain_to_transitive" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_chain2_transitive", "holds_all", "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_scm_cls_restriction_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 1158, "unconditional": false, "shipping_functions_named": [ "owl_rule_scm_cls_restriction" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_restriction_subclass_of_class", "holds_all" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_scm_eqc2_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 1409, "unconditional": false, "shipping_functions_named": [ "owl_rule_scm_eqc2" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_mutual_subclass_equivalent", "holds_all", "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_sameAs_replace_subject_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 1514, "unconditional": false, "shipping_functions_named": [ "owl_rule_sameAs_replace_subject" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_sameas_identity", "holds_all", "ig_wf_subj" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_sameAs_replace_object_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 1589, "unconditional": false, "shipping_functions_named": [ "owl_rule_sameAs_replace_object" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_sameas_identity", "holds_all", "ig_wf_obj" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_sameAs_replace_predicate_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 1673, "unconditional": false, "shipping_functions_named": [ "owl_rule_sameAs_replace_predicate" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_sameas_identity", "holds_all", "ig_wf_pred" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_scm_eqp2_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 1742, "unconditional": false, "shipping_functions_named": [ "owl_rule_scm_eqp2" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_mutual_subproperty_equivalent", "holds_all", "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_sameAs_transitivity_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 1848, "unconditional": false, "shipping_functions_named": [ "owl_rule_sameAs_transitivity" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_sameas_identity", "holds_all", "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_transitive_property_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 1931, "unconditional": false, "shipping_functions_named": [ "owl_rule_transitive_property" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_transitive", "holds_all", "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_functional_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 2058, "unconditional": false, "shipping_functions_named": [ "owl_rule_functional" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_functional", "cond_sameas_identity", "holds_all", "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_inverse_functional_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 2179, "unconditional": false, "shipping_functions_named": [ "owl_rule_inverse_functional" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_inverse_functional", "cond_sameas_identity", "graph_literal_match_exact", "holds_all", "ig_wf_po", "ig_wf_pred" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics", "OWL.Semantics.Soundness" ], "independent_formalisation_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_inverse_of_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 2278, "unconditional": false, "shipping_functions_named": [ "owl_rule_inverse_of" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_inverse_of", "holds_all" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_shares_key_values_semantic", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 2405, "unconditional": false, 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"shipping_functions_named": [ "owl_rule_scm_rng2" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_range_subclass", "holds_all", "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_subprop_domain_range_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 2784, "unconditional": false, "shipping_functions_named": [ "owl_rule_subprop_domain_range" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_domain_subprop", "cond_range_subprop", "holds_all", "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_cls_int1_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 2938, "unconditional": false, "shipping_functions_named": [ "owl_rule_cls_int1" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_intersection_of", "holds_all", "ig_wf_po_spec", "ig_wf_sp" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_cls_uni_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3037, "unconditional": false, "shipping_functions_named": [ "owl_rule_cls_uni" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_union_of", "holds_all", "ig_wf_sp", "no_disjoint_union" ], "declarative_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.RL.Refinement", "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_cls_hv1_witness_holds", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3116, "unconditional": false, "shipping_functions_named": [ "find_subjects_indexed", "owl_hasValue_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "shipping_modules": [ "OWL.Closure", "RDF.Graph", "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "cond_hasvalue", "holds_all", "ig_wf_po", "triple_holds" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_cls_hv1_members_fold_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3151, "unconditional": false, "shipping_functions_named": [ "find_subjects_indexed", "owl_cls_hv1_emit", "owl_hasValue_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "shipping_modules": [ "OWL.Closure", "RDF.Graph", "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "cond_hasvalue", "holds_all", "ig_wf_po" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_cls_hv1_mid_step_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3184, "unconditional": false, "shipping_functions_named": [ "find_objects_indexed", "owl_cls_hv1_mid", "owl_hasValue_iri", "owl_onProperty_iri" ], "shipping_modules": [ "OWL.Closure", "RDF.Indexed" ], "declarative_relations_named": [ "cond_hasvalue", "holds_all", "ig_wf_po", "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_cls_hv1_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3217, "unconditional": false, "shipping_functions_named": [ "owl_rule_cls_hv1" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_hasvalue", "holds_all", "ig_wf_po", "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_cls_hv2_witness_holds", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3286, "unconditional": false, "shipping_functions_named": [ "find_subjects_indexed", "owl_hasValue_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "shipping_modules": [ "OWL.Closure", "RDF.Graph", "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "cond_hasvalue", "cond_literal_term_eq_respecting", "holds_all", "ig_wf_po", "ig_wf_pred", "triple_holds" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_cls_hv2_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3319, "unconditional": false, "shipping_functions_named": [ "owl_rule_cls_hv2" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_hasvalue", "cond_literal_term_eq_respecting", "holds_all", "ig_wf_po", "ig_wf_pred", "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_cls_avf_witness_holds", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3441, "unconditional": false, "shipping_functions_named": [ "find_objects_indexed", "find_subjects_indexed", "owl_allValuesFrom_iri", "owl_onProperty_iri", "rdf_type", "subject_to_term", "term_to_subject" ], "shipping_modules": [ "OWL.Closure", "RDF.Graph", "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "cond_allvaluesfrom", "holds_all", "ig_wf_po", "ig_wf_sp", "triple_holds" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_cls_avf_member_fold_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3492, "unconditional": false, "shipping_functions_named": [ "find_objects_indexed", "find_subjects_indexed", "owl_allValuesFrom_iri", "owl_cls_avf1_emit", "owl_onProperty_iri", "rdf_type", "subject_to_term" ], "shipping_modules": [ "OWL.Closure", "RDF.Graph", "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "cond_allvaluesfrom", "holds_all", "ig_wf_po", "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_cls_avf_prop_step_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3530, "unconditional": false, "shipping_functions_named": [ "find_objects_indexed", "owl_allValuesFrom_iri", "owl_cls_avf1_prop", "owl_onProperty_iri" ], "shipping_modules": [ "OWL.Closure", "RDF.Indexed" ], "declarative_relations_named": [ "cond_allvaluesfrom", "holds_all", "ig_wf_po", "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_cls_avf1_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3572, "unconditional": false, "shipping_functions_named": [ "owl_rule_cls_avf1" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_allvaluesfrom", "holds_all", "ig_wf_po", "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_prp_spo2_witness_holds", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3630, "unconditional": false, "shipping_functions_named": [ "find_objects_indexed", "owl_propertyChainAxiom", "term_to_subject" ], "shipping_modules": [ "OWL.Closure", "RDF.Graph", "RDF.Indexed" ], "declarative_relations_named": [ "cond_chain2_compose", "holds_all", "ig_wf_sp", "seq_is", "triple_holds" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_prp_spo2_mid_step_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3673, "unconditional": false, "shipping_functions_named": [ "owl_chain2_mid", "owl_propertyChainAxiom", "term_to_subject" ], "shipping_modules": [ "OWL.Closure", "RDF.Graph" ], "declarative_relations_named": [ "cond_chain2_compose", "holds_all", "ig_wf_sp", "seq_is" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_property_chain_2_sound", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3707, "unconditional": false, "shipping_functions_named": [ "owl_rule_property_chain_2" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "cond_chain2_compose", "holds_all", "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_symmetric_property_entailed", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3757, "unconditional": true, "shipping_functions_named": [ "owl_rule_symmetric_property" ], "shipping_modules": [ "OWL.Closure" ], "declarative_relations_named": [ "pilot_entails" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_rule_domain_entailed", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3776, "unconditional": true, "shipping_functions_named": [ "build_indexed", "rdfs_rule_domain" ], "shipping_modules": [ "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "pilot_entails" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_rule_range_entailed", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3797, "unconditional": true, "shipping_functions_named": [ "build_indexed", "rdfs_rule_range" ], "shipping_modules": [ "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "pilot_entails" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_sameAs_symmetry_entailed", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3818, "unconditional": true, "shipping_functions_named": [ "build_indexed", "owl_rule_sameAs_symmetry" ], "shipping_modules": [ "OWL.Closure", "RDF.Indexed" ], "declarative_relations_named": [ "pilot_entails" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "owl_rule_cls_oneof_entailed", "host_module": "OWL.Semantics.Soundness", "file": "formal/fstar/OWL.Semantics.Soundness.fst", "line": 3845, "unconditional": false, "shipping_functions_named": [ "build_indexed", "owl_rule_cls_oneof" ], "shipping_modules": [ "OWL.Closure", "RDF.Indexed" ], "declarative_relations_named": [ "ig_wf_sp", "pilot_entails" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_denot_subject_to_term", "host_module": "OWL.Semantics", "file": "formal/fstar/OWL.Semantics.fst", "line": 109, "unconditional": true, "shipping_functions_named": [ "subject_to_term" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_denot_term_to_subject", "host_module": "OWL.Semantics", "file": "formal/fstar/OWL.Semantics.fst", "line": 112, "unconditional": false, "shipping_functions_named": [ "term_to_subject" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdf_term_eq_denot", "host_module": "OWL.Semantics", "file": "formal/fstar/OWL.Semantics.fst", "line": 629, "unconditional": false, "shipping_functions_named": [ "rdf_term_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [ "cond_literal_term_eq_respecting" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "rev_length_lemma", "host_module": "Parser.CSVResults", "file": "formal/fstar/Parser.CSVResults.fst", "line": 76, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "nth_byte_append_left", "host_module": "Parser.FastString.Axioms", "file": "formal/fstar/Parser.FastString.Axioms.fst", "line": 60, "unconditional": false, "shipping_functions_named": [ "nth_byte" ], "shipping_modules": [ "Parser.FastString.Spec" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "drop_bytes_length", "host_module": "Parser.FastString.Axioms", "file": "formal/fstar/Parser.FastString.Axioms.fst", "line": 69, "unconditional": false, "shipping_functions_named": [ "drop_bytes" ], "shipping_modules": [ "Parser.FastString.Spec" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "drop_bytes_append_left", "host_module": "Parser.FastString.Axioms", "file": "formal/fstar/Parser.FastString.Axioms.fst", "line": 80, "unconditional": false, "shipping_functions_named": [ "drop_bytes" ], "shipping_modules": [ "Parser.FastString.Spec" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "drop_bytes_append_right", "host_module": "Parser.FastString.Axioms", "file": "formal/fstar/Parser.FastString.Axioms.fst", "line": 90, "unconditional": false, "shipping_functions_named": [ "drop_bytes" ], "shipping_modules": [ "Parser.FastString.Spec" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "take_bytes_append_left", "host_module": "Parser.FastString.Axioms", "file": "formal/fstar/Parser.FastString.Axioms.fst", "line": 100, "unconditional": false, "shipping_functions_named": [ "take_bytes" ], "shipping_modules": [ "Parser.FastString.Spec" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "take_bytes_self", "host_module": "Parser.FastString.Axioms", "file": "formal/fstar/Parser.FastString.Axioms.fst", "line": 109, "unconditional": true, "shipping_functions_named": [ "take_bytes" ], "shipping_modules": [ "Parser.FastString.Spec" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "nth_byte_some_of_lt", "host_module": "Parser.FastString.Axioms", "file": "formal/fstar/Parser.FastString.Axioms.fst", "line": 117, "unconditional": false, "shipping_functions_named": [ "nth_byte" ], "shipping_modules": [ "Parser.FastString.Spec" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "utf8_decode_all_aux_unfold", "host_module": "Parser.FastString.Axioms", "file": "formal/fstar/Parser.FastString.Axioms.fst", "line": 250, "unconditional": false, "shipping_functions_named": [ "utf8_decode_all_aux", "utf8_decode_at" ], "shipping_modules": [ "Parser.FastString.Spec" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_decode_all_aux_shift", "host_module": "Parser.FastString.Axioms", "file": "formal/fstar/Parser.FastString.Axioms.fst", "line": 271, "unconditional": false, "shipping_functions_named": [ "utf8_decode_all_aux" ], "shipping_modules": [ "Parser.FastString.Spec" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_decode_all_aux_encode", "host_module": "Parser.FastString.Axioms", "file": "formal/fstar/Parser.FastString.Axioms.fst", "line": 303, "unconditional": true, "shipping_functions_named": [ "utf8_decode_all_aux", "utf8_enc_char" ], "shipping_modules": [ "Parser.FastString.Spec" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "utf8_decode_all_utf8_bytes_identity", "host_module": "Parser.FastString.Axioms", "file": "formal/fstar/Parser.FastString.Axioms.fst", "line": 337, "unconditional": true, "shipping_functions_named": [ "utf8_bytes", "utf8_decode_all" ], "shipping_modules": [ "Parser.FastString.Spec" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "fs_byte_length_empty", "host_module": "Parser.FastString.Axioms", "file": "formal/fstar/Parser.FastString.Axioms.fsti", "line": 196, "unconditional": true, "shipping_functions_named": [ "fs_byte_length" ], "shipping_modules": [ "Parser.FastString" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "fs_byte_length_concat", "host_module": "Parser.FastString.Axioms", "file": "formal/fstar/Parser.FastString.Axioms.fsti", "line": 201, "unconditional": true, "shipping_functions_named": [ "fs_byte_length" ], "shipping_modules": [ "Parser.FastString" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "fs_byte_length_ascii_singleton", "host_module": "Parser.FastString.Axioms", "file": 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[], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_iri_raw_fastpath_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 414, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length", "parse_iri_raw", "scan_iri_end" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_iri_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 454, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length", "is_iri", "parse_iri", "parse_iri_raw", "scan_iri_end" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples", "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_subject_iri_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 496, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length", "is_iri", "parse_iri_raw", "parse_subject", "scan_iri_end" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples", "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_object_iri_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 518, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length", "is_iri", "parse_iri_raw", "parse_object", "scan_iri_end" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples", "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_iri_body_acc_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 579, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "parse_iri_body_acc" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_scan_iri_end_success_bound", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 692, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "scan_iri_end" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_scan_iri_end_result_eq", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 723, "unconditional": false, "shipping_functions_named": [ "scan_iri_end" ], "shipping_modules": [ "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_parse_iri_body_acc_success_bound", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 749, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "parse_iri_body_acc" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "nth_byte_append_left", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 989, "unconditional": false, "shipping_functions_named": [ "nth_byte" ], "shipping_modules": [ "Parser.FastString.Spec" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "nth_byte_none_of_ge", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 996, "unconditional": false, "shipping_functions_named": [ "nth_byte" ], "shipping_modules": [ "Parser.FastString.Spec" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "nth_byte_some_of_lt", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1004, "unconditional": false, "shipping_functions_named": [ "nth_byte" ], "shipping_modules": [ "Parser.FastString.Spec" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "utf8_decode_at_join", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1019, "unconditional": false, "shipping_functions_named": [ "is_continuation", "utf8_decode_at" ], "shipping_modules": [ "Parser.FastString.Spec" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_cp_at_at_middle", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1089, "unconditional": false, "shipping_functions_named": [ "fs_byte_at", "fs_byte_length", "fs_cp_at", "is_continuation" ], "shipping_modules": [ "Parser.FastString", "Parser.FastString.Spec" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_byte_at_at_middle", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1121, "unconditional": false, "shipping_functions_named": [ "fs_byte_at", "fs_byte_length" ], "shipping_modules": [ "Parser.FastString" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_scan_bnode_body_cp_shift_headroom", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1140, "unconditional": false, "shipping_functions_named": [ "fs_byte_at", "fs_byte_length", "is_continuation", "scan_bnode_body_cp" ], "shipping_modules": [ "Parser.FastString", "Parser.FastString.Spec", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_scan_string_fast_shift_headroom", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1286, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "scan_string_fast" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_string_body_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1323, "unconditional": false, "shipping_functions_named": [ "fs_byte_at", "fs_byte_length", "is_continuation", "parse_string_body" ], "shipping_modules": [ "Parser.FastString", "Parser.FastString.Spec", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_scan_string_fast_shift_hasescapes", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1451, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "scan_string_fast" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_string_literal_fastpath_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1486, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length", "parse_string_literal", "scan_string_fast" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_string_literal_escapepath_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1521, "unconditional": false, "shipping_functions_named": [ "fs_byte_at", "fs_byte_index", "fs_byte_length", "is_continuation", "parse_string_body", "parse_string_literal", "scan_string_fast" ], "shipping_modules": [ "Parser.FastString", "Parser.FastString.Spec", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_ptake_while_scan_shift_headroom", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1555, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "ptake_while_scan" ], "shipping_modules": [ "Parser.Combinators", "Parser.FastString" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_ptake_while1_pos_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1591, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "ptake_while1_pos", "ptake_while_scan" ], "shipping_modules": [ "Parser.Combinators", "Parser.FastString" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_lang_tag_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1618, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length", "is_alpha", "is_lang_char", "parse_lang_tag", "ptake_while_scan" ], "shipping_modules": [ "Parser.Combinators", "Parser.FastString", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_datatype_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1643, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length", "is_iri", "parse_datatype", "parse_iri_raw", "scan_iri_end" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples", "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_graph_label_iri_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1692, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length", "is_iri", "parse_graph_label", "parse_iri_raw", "scan_iri_end" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads", "Parser.NTriples", "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_opt_graph_label_iri_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1714, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length", "is_iri", "parse_iri_raw", "parse_opt_graph_label", "pws", "scan_iri_end" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads", "Parser.NTriples", "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_opt_graph_label_none_dot_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1740, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length", "parse_opt_graph_label", "pws" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_skip_eol_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1819, "unconditional": false, "shipping_functions_named": [ "fs_byte_at", "fs_byte_length", "skip_eol" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_nt_skip_to_eol_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1926, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "nt_skip_to_eol" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_nq_skip_line_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 1976, "unconditional": false, "shipping_functions_named": [ "fs_byte_at", "fs_byte_length", "nq_skip_line" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_pws_noop", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2207, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length", "is_nt_ws", "pws" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_nquad_iri_nograph_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2214, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length", "is_iri", "parse_iri", "parse_iri_raw", "parse_nquad", "parse_object", "parse_subject", "pws", "scan_iri_end" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads", "Parser.NTriples", "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_bnode_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2313, "unconditional": false, "shipping_functions_named": [ "fs_byte_at", "fs_byte_length", "fs_cp_at", "is_bnode_start_cp", "is_continuation", "parse_bnode", "scan_bnode_body_cp" ], "shipping_modules": [ "Parser.FastString", "Parser.FastString.Spec", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_subject_bnode_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2372, "unconditional": false, "shipping_functions_named": [ "fs_byte_at", "fs_byte_index", "fs_byte_length", "fs_cp_at", "is_bnode_start_cp", "is_continuation", "parse_subject", "scan_bnode_body_cp" ], "shipping_modules": [ "Parser.FastString", "Parser.FastString.Spec", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_object_bnode_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2408, "unconditional": false, "shipping_functions_named": [ "fs_byte_at", "fs_byte_index", "fs_byte_length", "fs_cp_at", "is_bnode_start_cp", "is_continuation", "parse_object", "scan_bnode_body_cp" ], "shipping_modules": [ "Parser.FastString", "Parser.FastString.Spec", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_literal_plain_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2492, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length", "parse_literal", "parse_string_literal" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_literal_lang_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2519, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length", "is_alpha", "is_lang_char", "parse_literal", "parse_string_literal", "ptake_while_scan" ], "shipping_modules": [ "Parser.Combinators", "Parser.FastString", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_literal_datatype_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2620, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length", "parse_datatype", "parse_literal", "parse_string_literal", "rdf_dir_lang_string", "rdf_lang_string" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples", "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_object_literal_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2667, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length", "parse_literal", "parse_object" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_graph_label_bnode_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2693, "unconditional": false, "shipping_functions_named": [ "fs_byte_at", "fs_byte_index", "fs_byte_length", "fs_cp_at", "is_bnode_start_cp", "is_continuation", "parse_graph_label", "scan_bnode_body_cp" ], "shipping_modules": [ "Parser.FastString", "Parser.FastString.Spec", "Parser.NQuads", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_opt_graph_label_bnode_shift", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2729, "unconditional": false, "shipping_functions_named": [ "fs_byte_at", "fs_byte_index", "fs_byte_length", "fs_cp_at", "is_bnode_start_cp", "is_continuation", "parse_opt_graph_label", "pws", "scan_bnode_body_cp" ], "shipping_modules": [ "Parser.FastString", "Parser.FastString.Spec", "Parser.NQuads", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_nquad_shift_generic", "host_module": "Parser.NTriples.Locality", "file": "formal/fstar/Parser.NTriples.Locality.fst", "line": 2800, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length", "is_iri", "parse_iri", "parse_nquad", "parse_object", "parse_opt_graph_label", "parse_subject", "pws" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads", "Parser.NTriples", "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_int_of_byte_of_int", "host_module": "RDF.Bytes", "file": "formal/fstar/RDF.Bytes.fst", "line": 66, "unconditional": true, "shipping_functions_named": [ "byte_of_int", "int_of_byte" ], "shipping_modules": [ "RDF.Bytes" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_map_byte_roundtrip", "host_module": "RDF.Bytes", "file": "formal/fstar/RDF.Bytes.fst", "line": 168, "unconditional": true, "shipping_functions_named": [ "byte_of_int", "byte_to_spec_byte" ], "shipping_modules": [ "RDF.Bytes" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_bytes_to_string_of_bytes_of_string", "host_module": "RDF.Bytes", "file": "formal/fstar/RDF.Bytes.fst", "line": 175, "unconditional": true, "shipping_functions_named": [ "bytes_of_string", "bytes_to_string" ], "shipping_modules": [ "RDF.Bytes" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_write_u32_le_inverse", "host_module": "RDF.Bytes", "file": "formal/fstar/RDF.Bytes.fst", "line": 285, "unconditional": true, "shipping_functions_named": [ "parse_u32_le", "write_u32_le" ], "shipping_modules": [ "RDF.Bytes" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_lo_byte0", "host_module": "RDF.Bytes", "file": "formal/fstar/RDF.Bytes.fst", "line": 314, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_lo_byte1", "host_module": "RDF.Bytes", "file": "formal/fstar/RDF.Bytes.fst", "line": 318, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_lo_byte2", "host_module": "RDF.Bytes", "file": "formal/fstar/RDF.Bytes.fst", "line": 323, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_lo_byte3", "host_module": "RDF.Bytes", "file": "formal/fstar/RDF.Bytes.fst", "line": 328, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_hi_byte1", "host_module": "RDF.Bytes", "file": "formal/fstar/RDF.Bytes.fst", "line": 335, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_hi_byte2", "host_module": "RDF.Bytes", "file": "formal/fstar/RDF.Bytes.fst", "line": 339, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_hi_byte3", "host_module": "RDF.Bytes", "file": "formal/fstar/RDF.Bytes.fst", "line": 343, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_write_u64_le_decompose", "host_module": "RDF.Bytes", "file": "formal/fstar/RDF.Bytes.fst", "line": 350, "unconditional": false, "shipping_functions_named": [ "write_u32_le", "write_u64_le" ], "shipping_modules": [ "RDF.Bytes" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_u64_decompose", "host_module": "RDF.Bytes", "file": "formal/fstar/RDF.Bytes.fst", "line": 367, "unconditional": true, "shipping_functions_named": [ "parse_u32_le", "parse_u64_le" ], "shipping_modules": [ "RDF.Bytes" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_write_u64_le_inverse", "host_module": "RDF.Bytes", "file": "formal/fstar/RDF.Bytes.fst", "line": 382, "unconditional": true, "shipping_functions_named": [ "parse_u64_le", "write_u64_le" ], "shipping_modules": [ "RDF.Bytes" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_n_bytes_inverse", "host_module": "RDF.Bytes", "file": "formal/fstar/RDF.Bytes.fst", "line": 417, "unconditional": true, "shipping_functions_named": [ "parse_n_bytes" ], "shipping_modules": [ "RDF.Bytes" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_parse_string_of_length_inverse", "host_module": "RDF.Bytes", "file": "formal/fstar/RDF.Bytes.fst", "line": 436, "unconditional": true, "shipping_functions_named": [ "bytes_of_string", "parse_string_of_length" ], "shipping_modules": [ "RDF.Bytes" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_empty_issuer_wf", "host_module": "RDF.Canonical", "file": "formal/fstar/RDF.Canonical.fst", "line": 966, "unconditional": true, "shipping_functions_named": [ "empty_issuer" ], "shipping_modules": [ "RDF.Canonical" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_empty_temp_issuer_wf", "host_module": "RDF.Canonical", "file": "formal/fstar/RDF.Canonical.fst", "line": 969, "unconditional": true, "shipping_functions_named": [ "empty_temp_issuer" ], "shipping_modules": [ "RDF.Canonical" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_issue_fresh_preserves_wf", "host_module": "RDF.Canonical", "file": "formal/fstar/RDF.Canonical.fst", "line": 974, "unconditional": false, "shipping_functions_named": [ "issue_fresh" ], "shipping_modules": [ "RDF.Canonical" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_issue_fresh_label_shape", "host_module": "RDF.Canonical", "file": "formal/fstar/RDF.Canonical.fst", "line": 981, "unconditional": true, "shipping_functions_named": [ "issue_fresh" ], "shipping_modules": [ "RDF.Canonical" ], "declarative_relations_named": [ "is_issuer_label" ], "declarative_modules": [ "RDF.Canonical" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_issue_identifier_preserves_wf", "host_module": "RDF.Canonical", "file": "formal/fstar/RDF.Canonical.fst", "line": 995, "unconditional": false, "shipping_functions_named": [ "issue_identifier" ], "shipping_modules": [ "RDF.Canonical" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_issue_identifier_fresh_label_shape", "host_module": "RDF.Canonical", "file": "formal/fstar/RDF.Canonical.fst", "line": 1006, "unconditional": false, "shipping_functions_named": [ "issue_identifier", "lookup_issued" ], "shipping_modules": [ "RDF.Canonical" ], "declarative_relations_named": [ "is_issuer_label" ], "declarative_modules": [ "RDF.Canonical" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_cong_string_of_list", "host_module": "RDF.CottasStore.BaseWriter", "file": "formal/fstar/RDF.CottasStore.BaseWriter.fst", "line": 1195, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_cong_hat3", "host_module": "RDF.CottasStore.BaseWriter", "file": "formal/fstar/RDF.CottasStore.BaseWriter.fst", "line": 1200, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_cong_parse_hex", "host_module": "RDF.CottasStore.BaseWriter", "file": "formal/fstar/RDF.CottasStore.BaseWriter.fst", "line": 1206, "unconditional": false, "shipping_functions_named": [ "parse_file_metadata_version_hex" ], "shipping_modules": [ "Parquet.Footer" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_hex_pair_15", "host_module": "RDF.CottasStore.BaseWriter", "file": "formal/fstar/RDF.CottasStore.BaseWriter.fst", "line": 1212, "unconditional": true, "shipping_functions_named": [ "hex_digit_char" ], "shipping_modules": [ "RDF.Bytes" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_byte_to_hex_21", "host_module": "RDF.CottasStore.BaseWriter", "file": "formal/fstar/RDF.CottasStore.BaseWriter.fst", "line": 1215, "unconditional": true, "shipping_functions_named": [ "byte_of_int", "byte_to_hex" ], "shipping_modules": [ "RDF.Bytes" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_hex_pair_FA", "host_module": "RDF.CottasStore.BaseWriter", "file": "formal/fstar/RDF.CottasStore.BaseWriter.fst", "line": 1222, "unconditional": true, "shipping_functions_named": [ "hex_digit_char" ], "shipping_modules": [ "RDF.Bytes" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_byte_to_hex_250", "host_module": "RDF.CottasStore.BaseWriter", "file": "formal/fstar/RDF.CottasStore.BaseWriter.fst", "line": 1225, "unconditional": true, "shipping_functions_named": [ "byte_of_int", "byte_to_hex" ], "shipping_modules": [ "RDF.Bytes" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_hex_pair_06", "host_module": "RDF.CottasStore.BaseWriter", "file": "formal/fstar/RDF.CottasStore.BaseWriter.fst", "line": 1232, "unconditional": true, "shipping_functions_named": [ "hex_digit_char" ], "shipping_modules": [ "RDF.Bytes" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_byte_to_hex_6", "host_module": "RDF.CottasStore.BaseWriter", "file": "formal/fstar/RDF.CottasStore.BaseWriter.fst", "line": 1235, "unconditional": true, "shipping_functions_named": [ "byte_of_int", "byte_to_hex" ], "shipping_modules": [ "RDF.Bytes" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_version_field_bytes_eq", "host_module": "RDF.CottasStore.BaseWriter", "file": "formal/fstar/RDF.CottasStore.BaseWriter.fst", "line": 1244, "unconditional": true, "shipping_functions_named": [ "byte_of_int", "version_field_bytes" ], "shipping_modules": [ "RDF.Bytes", "RDF.CottasStore.BaseWriter" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_bytes_to_hex_unfold", "host_module": "RDF.CottasStore.BaseWriter", "file": "formal/fstar/RDF.CottasStore.BaseWriter.fst", "line": 1247, "unconditional": true, "shipping_functions_named": [ "byte_of_int", "byte_to_hex", "bytes_to_hex" ], "shipping_modules": [ "RDF.Bytes" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_version_field_hex_eq", "host_module": "RDF.CottasStore.BaseWriter", "file": "formal/fstar/RDF.CottasStore.BaseWriter.fst", "line": 1259, "unconditional": true, "shipping_functions_named": [ "bytes_to_hex", "version_field_bytes" ], "shipping_modules": [ "RDF.Bytes", "RDF.CottasStore.BaseWriter" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_version_hex_literal", "host_module": "RDF.CottasStore.BaseWriter", "file": "formal/fstar/RDF.CottasStore.BaseWriter.fst", "line": 1270, "unconditional": true, "shipping_functions_named": [ "cottas_format_version", "parse_file_metadata_version_hex" ], "shipping_modules": [ "Parquet.Footer" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_version_field_roundtrip", "host_module": "RDF.CottasStore.BaseWriter", "file": "formal/fstar/RDF.CottasStore.BaseWriter.fst", "line": 1274, "unconditional": true, "shipping_functions_named": [ "bytes_to_hex", "cottas_format_version", "parse_file_metadata_version_hex", "version_field_bytes" ], "shipping_modules": [ "Parquet.Footer", "RDF.Bytes", "RDF.CottasStore.BaseWriter" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "column_decode_sound", "host_module": "RDF.CottasStore.ColumnSeq", "file": "formal/fstar/RDF.CottasStore.ColumnSeq.fst", "line": 152, "unconditional": false, "shipping_functions_named": [ "column_to_list", "probe_parquet_column_decode_in_row_group_seq" ], "shipping_modules": [ "RDF.CottasStore.ColumnSeq" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "rg_could_contain_pair_sound", "host_module": "RDF.CottasStore.CompoundPresenceBitmap", "file": "formal/fstar/RDF.CottasStore.CompoundPresenceBitmap.fst", "line": 328, "unconditional": false, "shipping_functions_named": [ "rg_could_contain_pair" ], "shipping_modules": [ "RDF.CottasStore.CompoundPresenceBitmap" ], "declarative_relations_named": [ "compound_built_correctly" ], "declarative_modules": [ "RDF.CottasStore.CompoundPresenceBitmap" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_parse_n_u64s_one", "host_module": "RDF.CottasStore.CompoundPresenceWriter", "file": "formal/fstar/RDF.CottasStore.CompoundPresenceWriter.fst", "line": 197, "unconditional": true, "shipping_functions_named": [ "parse_n_u64s", "write_u64_le" ], "shipping_modules": [ "RDF.Bytes", "RDF.CottasStore.CompoundPresenceWriter" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_n_u64s_zero", "host_module": "RDF.CottasStore.CompoundPresenceWriter", "file": "formal/fstar/RDF.CottasStore.CompoundPresenceWriter.fst", "line": 203, "unconditional": true, "shipping_functions_named": [ "parse_n_u64s" ], "shipping_modules": [ "RDF.CottasStore.CompoundPresenceWriter" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_last_of_or_singleton_zero", "host_module": "RDF.CottasStore.CompoundPresenceWriter", "file": "formal/fstar/RDF.CottasStore.CompoundPresenceWriter.fst", "line": 207, "unconditional": true, "shipping_functions_named": [ "last_of_or" ], "shipping_modules": [ "RDF.CottasStore.CompoundPresenceWriter" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_serialize_compound_presence_empty_shape", "host_module": "RDF.CottasStore.CompoundPresenceWriter", "file": "formal/fstar/RDF.CottasStore.CompoundPresenceWriter.fst", "line": 215, "unconditional": true, "shipping_functions_named": [ "copo_magic", "copo_version", "serialize_compound_presence", "write_u32_le", "write_u64_le" ], "shipping_modules": [ "RDF.Bytes", "RDF.CottasStore.CompoundPresenceWriter" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_serialize_compound_presence_empty_case", "host_module": "RDF.CottasStore.CompoundPresenceWriter", "file": "formal/fstar/RDF.CottasStore.CompoundPresenceWriter.fst", "line": 264, "unconditional": true, "shipping_functions_named": [ "parse_compound_presence", "serialize_compound_presence" ], "shipping_modules": [ "RDF.CottasStore.CompoundPresenceWriter" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_n_u64s_serialize_u64_list", "host_module": "RDF.CottasStore.CompoundPresenceWriter", "file": "formal/fstar/RDF.CottasStore.CompoundPresenceWriter.fst", "line": 308, "unconditional": false, "shipping_functions_named": [ "all_lt", "parse_n_u64s", "serialize_u64_list" ], "shipping_modules": [ "RDF.CottasStore.CompoundPresenceWriter" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_serialize_compound_presence", "host_module": "RDF.CottasStore.CompoundPresenceWriter", "file": "formal/fstar/RDF.CottasStore.CompoundPresenceWriter.fst", "line": 331, "unconditional": false, "shipping_functions_named": [ "all_lt", "last_of_or", "parse_compound_presence", "serialize_compound_presence" ], "shipping_modules": [ "RDF.CottasStore.CompoundPresenceWriter" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_serialize_dict_empty_case", "host_module": "RDF.CottasStore.DictWriter", "file": "formal/fstar/RDF.CottasStore.DictWriter.fst", "line": 323, "unconditional": true, "shipping_functions_named": [ "parse_dict", "serialize_dict" ], "shipping_modules": [ "RDF.CottasStore.DictWriter" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_build_ids_acc_length", "host_module": "RDF.CottasStore.DictWriter", "file": "formal/fstar/RDF.CottasStore.DictWriter.fst", "line": 331, "unconditional": true, "shipping_functions_named": [ "build_ids_acc" ], "shipping_modules": [ "RDF.CottasStore.DictWriter" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_build_ids_length", "host_module": "RDF.CottasStore.DictWriter", "file": "formal/fstar/RDF.CottasStore.DictWriter.fst", "line": 342, "unconditional": true, "shipping_functions_named": [ "build_ids" ], "shipping_modules": [ "RDF.CottasStore.DictWriter" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_cum_final_mono", "host_module": "RDF.CottasStore.DictWriter", "file": "formal/fstar/RDF.CottasStore.DictWriter.fst", "line": 365, "unconditional": true, 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"algorithm_correctness" }, { "name": "lemma_parse_serialize_dict", "host_module": "RDF.CottasStore.DictWriter", "file": "formal/fstar/RDF.CottasStore.DictWriter.fst", "line": 656, "unconditional": false, "shipping_functions_named": [ "cum_final", "header_size", "id_size", "offset_size", "parse_dict", "serialize_dict" ], "shipping_modules": [ "RDF.CottasStore.DictWriter" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_n_u64s_one", "host_module": "RDF.CottasStore.OffsetsWriter", "file": "formal/fstar/RDF.CottasStore.OffsetsWriter.fst", "line": 201, "unconditional": true, "shipping_functions_named": [ "parse_n_u64s", "write_u64_le" ], "shipping_modules": [ "RDF.Bytes", "RDF.CottasStore.OffsetsWriter" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_n_u32s_zero", "host_module": "RDF.CottasStore.OffsetsWriter", "file": "formal/fstar/RDF.CottasStore.OffsetsWriter.fst", "line": 207, "unconditional": true, "shipping_functions_named": [ "parse_n_u32s" ], "shipping_modules": [ "RDF.CottasStore.OffsetsWriter" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_last_of_or_singleton_zero", "host_module": "RDF.CottasStore.OffsetsWriter", "file": "formal/fstar/RDF.CottasStore.OffsetsWriter.fst", "line": 211, "unconditional": true, "shipping_functions_named": [ "last_of_or" ], "shipping_modules": [ "RDF.CottasStore.OffsetsWriter" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_serialize_offsets_empty_shape", "host_module": "RDF.CottasStore.OffsetsWriter", "file": "formal/fstar/RDF.CottasStore.OffsetsWriter.fst", "line": 219, "unconditional": true, "shipping_functions_named": [ "coto_magic", "coto_version", "serialize_offsets", "write_u32_le", "write_u64_le" ], "shipping_modules": [ "RDF.Bytes", "RDF.CottasStore.OffsetsWriter" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_serialize_offsets_empty_case", "host_module": "RDF.CottasStore.OffsetsWriter", "file": "formal/fstar/RDF.CottasStore.OffsetsWriter.fst", "line": 261, "unconditional": true, "shipping_functions_named": [ "parse_offsets", "serialize_offsets" ], "shipping_modules": [ "RDF.CottasStore.OffsetsWriter" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": 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"RDF.Entailment.Simple.ModelTheory" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "step_sub_class", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 419, "unconditional": false, "shipping_functions_named": [ "rdf_type", "rdfs_subClassOf" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "herb_iext", "rho_df_closed" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.Simple.ModelTheory" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.ModelTheory" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "step_sub_class_trans", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 451, "unconditional": false, "shipping_functions_named": [ "rdfs_subClassOf" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "herb_iext", "rho_df_closed" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.Simple.ModelTheory" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.ModelTheory" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_herb_cond_domain", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 490, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "cond_domain", "rho_df_closed" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Completeness" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_herb_cond_range", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 500, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "cond_range", "rho_df_closed", "rho_df_frag_graph" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Completeness" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_herb_cond_sub_property", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 511, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "cond_subPropertyOf", "rho_df_closed", "rho_df_frag_graph" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.RDFS.ModelTheory" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_herb_cond_sub_property_trans", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 522, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "cond_subPropertyOf_trans", "rho_df_closed" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.RDFS.ModelTheory" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_herb_cond_sub_class", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 533, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "cond_subClassOf", "rho_df_closed" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.RDFS.ModelTheory" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_herb_cond_sub_class_trans", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 544, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "cond_subClassOf_trans", "rho_df_closed" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.RDFS.ModelTheory" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_herbrand_rho_df_conditions", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 561, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rho_df_closed", "rho_df_conditions", "rho_df_frag_graph" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "rho_df_closed_complete", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 582, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_tt_free", "rho_df_closed", "rho_df_entails", "rho_df_frag_graph", "simple_entailment_spec" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "rho_df_closed_sound", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 594, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rho_df_entails", "simple_entailment_spec" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "rho_df_closed_iff", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 603, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_tt_free", "rho_df_closed", "rho_df_entails", "rho_df_frag_graph", "simple_entailment_spec" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_subgraph_satisfies", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 624, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "is_subgraph", "satisfies" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "rho_df_saturation_complete", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 630, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_tt_free", "is_subgraph", "rho_df_closed", "rho_df_entails", "rho_df_frag_graph", "simple_entailment_spec" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "rho_df_saturation_sound", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 645, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rho_df_entails", "simple_entailment_spec" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "rho_df_saturation_iff", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 662, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_tt_free", "is_subgraph", "rho_df_closed", "rho_df_entails", "rho_df_frag_graph", "simple_entailment_spec" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "rdfs_closure_rho_df_complete", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 697, "unconditional": false, "shipping_functions_named": [ "rdfs_closure" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "graph_tt_free", "is_subgraph", "rho_df_closed", "rho_df_entails", "rho_df_frag_graph", "simple_entailment_spec" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rho_df_vocab_distinct", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 739, "unconditional": true, "shipping_functions_named": [ "i_rdf_type", "i_rdfs_domain", "i_rdfs_range", "i_rdfs_subClassOf", "i_rdfs_subPropertyOf" ], "shipping_modules": [ "RDF.Vocabulary.Axioms" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_selfloop_witness_frag", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 749, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rho_df_frag_graph" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_selfloop_witness_closed", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 756, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rho_df_closed" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_selfloop_not_in_herbrand", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 763, "unconditional": false, "shipping_functions_named": [ "i_rdfs_subClassOf" ], "shipping_modules": [ "RDF.Vocabulary.Axioms" ], "declarative_relations_named": [ "herb_iext" ], "declarative_modules": [ "RDF.Entailment.Simple.ModelTheory" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.ModelTheory" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rho_df_not_entails_subclass_selfloop", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 769, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rho_df_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "rdfs_entails_subclass_selfloop", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 791, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rdfs_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "rho_df_entailment_strictly_stronger", "host_module": "RDF.Entailment.RDFS.Completeness", "file": "formal/fstar/RDF.Entailment.RDFS.Completeness.fst", "line": 822, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rdfs_entails", "rho_df_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.RDFS.ModelTheory" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_add_triple_unchecked_extensive", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 85, "unconditional": true, "shipping_functions_named": [ "add_triple_unchecked" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_emit_once_term_extensive", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 88, "unconditional": true, "shipping_functions_named": [ "emit_once_term" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_emit_once_extensive", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 93, "unconditional": true, "shipping_functions_named": [ "emit_once" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs_rule_subPropertyOf_extensive", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 119, "unconditional": true, "shipping_functions_named": [ "rdfs_rule_subPropertyOf" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs_rule_domain_extensive", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 169, "unconditional": true, "shipping_functions_named": [ "rdfs_rule_domain" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs_rule_range_extensive", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 204, "unconditional": true, "shipping_functions_named": [ "rdfs_rule_range" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs_rule_subClassOf_extensive", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 249, "unconditional": true, "shipping_functions_named": [ "rdfs_rule_subClassOf" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs_rule_subClassOf_trans_extensive", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 287, "unconditional": true, "shipping_functions_named": [ "rdfs_rule_subClassOf_trans" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs_rule_subPropertyOf_trans_extensive", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 328, "unconditional": true, "shipping_functions_named": [ "rdfs_rule_subPropertyOf_trans" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs_rule_container_membership_extensive", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 369, "unconditional": true, "shipping_functions_named": [ "rdfs_rule_container_membership" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs_rule_recognized_datatypes_extensive", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 397, "unconditional": true, "shipping_functions_named": [ "rdfs_rule_recognized_datatypes" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs_rule_resource_subject_extensive", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 407, "unconditional": true, "shipping_functions_named": [ "rdfs_rule_resource_subject" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs_rule_resource_object_extensive", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 417, "unconditional": true, "shipping_functions_named": [ "rdfs_rule_resource_object" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs_rule_class_subclass_resource_extensive", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 431, "unconditional": true, "shipping_functions_named": [ "rdfs_rule_class_subclass_resource" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs_rule_datatype_subclass_literal_extensive", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 445, "unconditional": true, "shipping_functions_named": [ "rdfs_rule_datatype_subclass_literal" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_step_is_dedup_of_pre_dedup", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 485, "unconditional": true, "shipping_functions_named": [ "graph_dedup_sort", "rdfs_closure_step" ], "shipping_modules": [ "RDF.Graph", "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_pre_dedup_extensive", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 489, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_d_minimal_sep_free", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 548, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "datatype_set_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs_rule_subPropertyOf_clean", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 558, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_subPropertyOf" ], "shipping_modules": [ "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "graph_clean" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rdfs_rule_domain_clean", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 579, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_domain" ], "shipping_modules": [ "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "graph_clean" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rdfs_rule_range_clean", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 600, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_range" ], "shipping_modules": [ "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "graph_clean" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rdfs_rule_subClassOf_clean", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 624, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_subClassOf" ], "shipping_modules": [ "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "graph_clean" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rdfs_rule_container_membership_clean", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 657, "unconditional": false, "shipping_functions_named": [ "rdfs_rule_container_membership" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "graph_clean" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rdfs_rule_subClassOf_trans_clean", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 694, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_subClassOf_trans" ], "shipping_modules": [ "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "graph_clean" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rdfs_rule_subPropertyOf_trans_clean", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 716, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_subPropertyOf_trans" ], "shipping_modules": [ "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "graph_clean" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rdfs_rule_recognized_datatypes_clean", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 740, "unconditional": false, "shipping_functions_named": [ "rdfs_rule_recognized_datatypes" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "graph_clean" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rdfs_rule_class_subclass_resource_clean", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 762, "unconditional": false, "shipping_functions_named": [ "rdfs_rule_class_subclass_resource" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "graph_clean" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rdfs_rule_datatype_subclass_literal_clean", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 782, "unconditional": false, "shipping_functions_named": [ "rdfs_rule_datatype_subclass_literal" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "graph_clean" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rdfs_rule_resource_subject_clean", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 802, "unconditional": false, "shipping_functions_named": [ "rdfs_rule_resource_subject" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "graph_clean" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rdfs_rule_resource_object_clean", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 825, "unconditional": false, "shipping_functions_named": [ "rdfs_rule_resource_object" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "graph_clean" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_pre_dedup_clean", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 854, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_clean" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_pre_dedup_full_sep_free", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 885, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_full_sep_free", "graph_obj_not_tt", "graph_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Indexed.KeyInjectivity" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_dedup_sorted_decorated_extensive", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 924, "unconditional": false, "shipping_functions_named": [ "dedup_sorted_decorated_aux", "triple_to_key" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [ "decoration_consistent", "no_dup_keys_combined" ], "declarative_modules": [ "RDF.Entailment.RDFS.FixedPoint" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_map_snd_decorate", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 966, "unconditional": true, "shipping_functions_named": [ "triple_to_key" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sortWith_memP_iff", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 982, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_graph_dedup_sort_extensive", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 996, "unconditional": false, "shipping_functions_named": [ "graph_dedup_sort" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [ "no_dup_keys" ], "declarative_modules": [ "RDF.Entailment.RDFS.FixedPoint" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_step_extensive", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 1076, "unconditional": false, "shipping_functions_named": [ "rdfs_closure_step" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "no_dup_keys" ], "declarative_modules": [ "RDF.Entailment.RDFS.FixedPoint" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_closure_iter_step_shift", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 1120, "unconditional": true, "shipping_functions_named": [ "rdfs_closure_step" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_saturated_stable_at", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 1127, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "closure_chain_canonical", "closure_chain_saturated" ], "declarative_modules": [ "RDF.Entailment.RDFS.FixedPoint" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_saturated_stable", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 1144, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "closure_chain_canonical", "closure_chain_saturated" ], "declarative_modules": [ "RDF.Entailment.RDFS.FixedPoint" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_no_repeats_subset_same_length_eq", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 1199, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_len_eq_saturated", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 1245, "unconditional": false, "shipping_functions_named": [ "graph_len", "rdfs_closure_step" ], "shipping_modules": [ "RDF.Graph", "RDFS.Closure" ], "declarative_relations_named": [ "no_dup_keys", "step_saturated" ], "declarative_modules": [ "RDF.Entailment.RDFS.FixedPoint" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_str_compare_trans_le", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 1290, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_str_compare_le_lt_trans", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 1301, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sorted_pairs_dt_append", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 1309, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "sorted_pairs_dt" ], "declarative_modules": [ "RDF.Entailment.RDFS.FixedPoint" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sortWith_sorted_pairs_dt", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 1330, "unconditional": true, "shipping_functions_named": [ "cmp_decorated_triple" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [ "sorted_pairs_dt" ], "declarative_modules": [ "RDF.Entailment.RDFS.FixedPoint" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_no_repeats_p_rev", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 1366, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_dedup_sorted_decorated_no_repeats", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 1405, "unconditional": false, "shipping_functions_named": [ "dedup_sorted_decorated_aux" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [ "decoration_consistent", "dedup_acc_inv", "sorted_pairs_dt" ], "declarative_modules": [ "RDF.Entailment.RDFS.FixedPoint" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_graph_dedup_sort_no_repeats", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 1479, "unconditional": true, "shipping_functions_named": [ "graph_dedup_sort" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs_closure_step_no_repeats", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 1504, "unconditional": true, "shipping_functions_named": [ "rdfs_closure_step" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_len_eq_saturated_gapB", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 1522, "unconditional": false, "shipping_functions_named": [ "graph_len", "rdfs_closure_step" ], "shipping_modules": [ "RDF.Graph", "RDFS.Closure" ], "declarative_relations_named": [ "no_dup_keys", "step_saturated" ], "declarative_modules": [ "RDF.Entailment.RDFS.FixedPoint" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_len_eq_saturated_sep_free", "host_module": "RDF.Entailment.RDFS.FixedPoint", "file": "formal/fstar/RDF.Entailment.RDFS.FixedPoint.fst", "line": 1556, "unconditional": false, "shipping_functions_named": [ "graph_len", "rdfs_closure_step" ], "shipping_modules": [ "RDF.Graph", "RDFS.Closure" ], "declarative_relations_named": [ "graph_obj_not_tt", "graph_sep_free", "step_saturated" ], "declarative_modules": [ "RDF.Entailment.RDFS.FixedPoint", "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_subj_term_denot", "host_module": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 76, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "rdfD2_true", "host_module": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 255, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "cond_rdf_property", "holds_all", "rdfD2_derives", "triple_holds" ], "declarative_modules": [ "OWL.Semantics", 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"formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 843, "unconditional": false, "shipping_functions_named": [ "add_triples_if_new" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [ "holds_all" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_closure_with_reflexivity_sound", "host_module": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 855, "unconditional": false, "shipping_functions_named": [ "rdfs_closure_with_reflexivity" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "closure_chain_wf", "holds_all", "rdfs_conditions" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.ModelTheory" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_closure_with_reflexivity_entails", "host_module": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 873, "unconditional": false, "shipping_functions_named": [ "rdfs_closure_with_reflexivity" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "closure_chain_wf", "rdfs_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "reflexivity_needs_rdfs_Class", "host_module": "RDF.Entailment.RDFS.ModelTheory", "file": "formal/fstar/RDF.Entailment.RDFS.ModelTheory.fst", "line": 912, "unconditional": false, "shipping_functions_named": [ "rdfs_Class", "rdfs_subClassOf" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "cond_subClassOf_refl", "icext" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.ModelTheory" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_vocab_agree", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 88, "unconditional": true, "shipping_functions_named": [ "i_rdf_Property", "i_rdf_type", "i_rdfs_Class", "i_rdfs_ContainerMembershipProperty", "i_rdfs_domain", "i_rdfs_member", "i_rdfs_range", "i_rdfs_subClassOf", "i_rdfs_subPropertyOf", "rdf_Property", "rdf_type", "rdfs_Class", "rdfs_ContainerMembershipProperty", "rdfs_domain", "rdfs_member", "rdfs_range", "rdfs_subClassOf", "rdfs_subPropertyOf" ], "shipping_modules": [ "RDF.Vocabulary.Axioms", "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_vocab_agree_rs2", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 106, "unconditional": true, "shipping_functions_named": [ "i_rdfs_Datatype", "i_rdfs_Literal", "i_rdfs_Resource", "rdfs_Datatype", "rdfs_Literal", "rdfs_Resource" ], "shipping_modules": [ "RDF.Vocabulary.Axioms", "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_term_to_subject_subj_term", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 114, "unconditional": false, "shipping_functions_named": [ "term_to_subject" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdf_property_axiom_matches", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 133, "unconditional": true, "shipping_functions_named": [ "rdf_property_axiom_of_triple" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_add_triples_if_new_memP", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 138, "unconditional": true, "shipping_functions_named": [ "add_triples_if_new" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_dedup_sorted_memP", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 150, "unconditional": true, "shipping_functions_named": [ "dedup_sorted_aux" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_dedup_sorted_decorated_memP", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 167, "unconditional": true, "shipping_functions_named": [ "dedup_sorted_decorated_aux" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_graph_dedup_sort_memP", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 185, "unconditional": true, "shipping_functions_named": [ "graph_dedup_sort" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "rdf_property_axiom_closure_licensed", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 205, "unconditional": true, "shipping_functions_named": [ "rdf_property_axiom_closure" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "rdfD2_derives" ], "declarative_modules": [ "RDF.Entailment.RDF.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDF.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_rule_domain_licensed", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 252, "unconditional": false, "shipping_functions_named": [ "rdfs_rule_domain" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_pred", "licensed_by2", "rdfs2_derives" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Refinement", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_rule_range_licensed", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 303, "unconditional": false, "shipping_functions_named": [ "rdfs_rule_range" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_pred", "licensed_by2", "rdfs3_derives" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Refinement", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_rule_subPropertyOf_licensed", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 362, "unconditional": false, "shipping_functions_named": [ "rdfs_rule_subPropertyOf" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_pred", "licensed_by2", "rdfs7_derives" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Refinement", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_find_objects_elim", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 453, "unconditional": false, "shipping_functions_named": [ "find_objects_indexed" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_rule_subClassOf_licensed", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 460, "unconditional": false, "shipping_functions_named": [ "rdfs_rule_subClassOf" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "licensed_by2", "rdfs9_derives2" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Refinement", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_rule_subClassOf_trans_licensed", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 517, "unconditional": false, "shipping_functions_named": [ "rdfs_rule_subClassOf_trans" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "licensed_by2", "rdfs11_derives2" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Refinement", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_rule_subPropertyOf_trans_licensed", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 575, "unconditional": false, "shipping_functions_named": [ "rdfs_rule_subPropertyOf_trans" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "licensed_by2", "rdfs5_derives2" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Refinement", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rdf_member_iris", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 650, "unconditional": true, "shipping_functions_named": [ "rdf_1", "rdf_2", "rdf_3", "rdf_4", "rdf_5" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "is_rdf_member_iri" ], "declarative_modules": [ "RDF.Entailment.RDF.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDF.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_rule_container_membership_licensed", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 675, "unconditional": true, "shipping_functions_named": [ "rdfs_rule_container_membership" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "rdfs_axiomatic", "rdfs_member_subproperty" ], "declarative_modules": [ "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "selfloop_not_axiomatic", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 758, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rdf_axiomatic", "rdfs_axiomatic", "rdfs_member_subproperty" ], "declarative_modules": [ "RDF.Entailment.RDF.Spec", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDF.Spec", "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "rdfs_rule_recognized_datatypes_licensed", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 790, "unconditional": true, "shipping_functions_named": [ "rdfs_rule_recognized_datatypes" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "rdfs1_derives" ], "declarative_modules": [ "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_rule_resource_subject_licensed", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 826, "unconditional": true, "shipping_functions_named": [ "rdfs_rule_resource_subject" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "licensed_by", "rdfs4a_derives" ], "declarative_modules": [ "RDF.Entailment.RDFS.Refinement", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_rule_resource_object_licensed", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 853, "unconditional": true, "shipping_functions_named": [ "rdfs_rule_resource_object" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "licensed_by", "rdfs4b_derives" ], "declarative_modules": [ "RDF.Entailment.RDFS.Refinement", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_rule_class_subclass_resource_licensed", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 881, "unconditional": true, "shipping_functions_named": [ "rdfs_rule_class_subclass_resource" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "licensed_by", "rdfs8_derives" ], "declarative_modules": [ "RDF.Entailment.RDFS.Refinement", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_rule_datatype_subclass_literal_licensed", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 911, "unconditional": true, "shipping_functions_named": [ "rdfs_rule_datatype_subclass_literal" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "licensed_by", "rdfs13_derives" ], "declarative_modules": [ "RDF.Entailment.RDFS.Refinement", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_existsb_elim", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 981, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_snapshot_carries_elim", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 992, "unconditional": false, "shipping_functions_named": [ "snapshot_carries" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_emit_once", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1011, "unconditional": false, "shipping_functions_named": [ "emit_once" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "snapshot_subset" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Refinement" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_emit_once_grows_all", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1023, "unconditional": true, "shipping_functions_named": [ "emit_once" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_emit_once_all", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1028, "unconditional": false, "shipping_functions_named": [ "emit_once" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "snapshot_subset" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Refinement" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "fold_left_grows", "host_module": "RDF.Entailment.RDFS.Refinement", "file": 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"RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1216, "unconditional": false, "shipping_functions_named": [ "build_indexed", "is_typed_as", "rdf_type", "rdfs_Class", "rdfs_Datatype", "rdfs_Literal", "rdfs_Resource", "rdfs_rule_class_subclass_resource", "rdfs_rule_datatype_subclass_literal", "rdfs_rule_recognized_datatypes", "rdfs_rule_resource_object", "rdfs_rule_resource_subject", "rdfs_subClassOf", "recognized_datatypes", "term_to_subject" ], "shipping_modules": [ "RDF.Graph", "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "cons_if_new_iri_memP", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1354, "unconditional": true, "shipping_functions_named": [ "cons_if_new_iri" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "cons_subject_iri_if_new_memP", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1357, "unconditional": true, "shipping_functions_named": [ "cons_subject_iri_if_new" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "cons_term_iri_if_new_memP", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1363, "unconditional": true, "shipping_functions_named": [ "cons_term_iri_if_new" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "collect_related_iris_source", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1380, "unconditional": true, "shipping_functions_named": [ "collect_related_iris" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "harvest_source" ], "declarative_modules": [ "RDF.Entailment.RDFS.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_class_typing_rdfs", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1429, "unconditional": false, "shipping_functions_named": [ "is_class_type_object_rdfs", "rdfs_Class" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_property_typing_rdfs", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1438, "unconditional": false, "shipping_functions_named": [ "is_property_type_object_rdfs", "rdf_Property" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_class_refl_licensed", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1452, "unconditional": false, "shipping_functions_named": [ "is_class_type_object_rdfs", "rdfs_subClassOf" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "harvest_source", "rdfs_licensed" ], "declarative_modules": [ "RDF.Entailment.RDFS.Refinement", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_property_refl_licensed", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1482, "unconditional": false, "shipping_functions_named": [ "is_property_type_object_rdfs", "rdfs_subPropertyOf" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "harvest_source", "rdfs_licensed" ], "declarative_modules": [ "RDF.Entailment.RDFS.Refinement", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_reflexivity_axioms_licensed", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1516, "unconditional": true, "shipping_functions_named": [ "rdfs_reflexivity_axioms" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "rdfs_licensed" ], "declarative_modules": [ "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_reflexivity_axioms_owl_class_empty", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1561, "unconditional": true, "shipping_functions_named": [ "rdfs_reflexivity_axioms" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "owl_reflexivity_axioms_emit_owl_class", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1572, "unconditional": true, "shipping_functions_named": [ "owl_reflexivity_axioms" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "owl_reflexivity_axioms_not_rdfs_sound", "host_module": "RDF.Entailment.RDFS.Refinement", "file": "formal/fstar/RDF.Entailment.RDFS.Refinement.fst", "line": 1590, "unconditional": true, "shipping_functions_named": [ "owl_reflexivity_axioms" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "rdfs_licensed" ], "declarative_modules": [ "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rho_df_step_is_dedup_of_pre_dedup", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 138, "unconditional": true, "shipping_functions_named": [ "graph_dedup_sort", "rho_df_closure_step", "rho_df_closure_step_pre_dedup" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "RDF.Graph" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_rho_df_closure_iter_shift", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 168, "unconditional": true, "shipping_functions_named": [ "rho_df_closure_iter", "rho_df_closure_step" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_rho_df_chain_canonical_shift", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 171, "unconditional": false, "shipping_functions_named": [ "rho_df_closure_step" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rho_df_pre_dedup_extensive", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 181, "unconditional": true, "shipping_functions_named": [ "rho_df_closure_step_pre_dedup" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rho_df_step_extensive", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 200, "unconditional": false, "shipping_functions_named": [ "rho_df_closure_step", "rho_df_closure_step_pre_dedup" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [ "no_dup_keys" ], "declarative_modules": [ "RDF.Entailment.RDFS.FixedPoint" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_rho_df_pre_dedup_clean", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 266, "unconditional": false, "shipping_functions_named": [ "rho_df_closure_step_pre_dedup" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [ "graph_clean" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rho_df_pre_dedup_no_dup_keys", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 285, "unconditional": false, "shipping_functions_named": [ "rho_df_closure_step_pre_dedup" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [ "graph_clean", "no_dup_keys" ], "declarative_modules": [ "RDF.Entailment.RDFS.FixedPoint", "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rho_df_step_clean", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 298, "unconditional": false, "shipping_functions_named": [ "rho_df_closure_step" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [ "graph_clean" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rho_df_closure_iter_clean", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 306, "unconditional": false, "shipping_functions_named": [ "rho_df_closure_iter" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [ "graph_clean" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_graph_clean_satisfiable", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 321, "unconditional": true, "shipping_functions_named": [ "i_rdf_type", "i_rdfs_Class", "i_rdfs_Resource" ], "shipping_modules": [ "RDF.Vocabulary.Axioms" ], "declarative_relations_named": [ "graph_clean" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rho_df_clean_implies_chain_canonical", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 337, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_clean" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rho_df_closure_extensive_aux", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 348, "unconditional": false, "shipping_functions_named": [ "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [ "is_subgraph" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rho_df_closure_extensive", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 377, "unconditional": false, "shipping_functions_named": [ "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [ "graph_clean", "is_subgraph" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rho_df_closure_extensive_chain", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 385, "unconditional": false, "shipping_functions_named": [ "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [ "is_subgraph" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rho_df_chain_wf_shift", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 419, "unconditional": false, "shipping_functions_named": [ "rho_df_closure_step" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rho_df_step_sound", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 425, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rho_df_closure_step" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "RDF.Indexed" ], "declarative_relations_named": [ "holds_all", "ig_wf_sp", "rho_df_conditions" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Completeness" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rho_df_closure_sound_aux", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 452, "unconditional": false, "shipping_functions_named": [ "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [ "holds_all", "rho_df_conditions" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Completeness" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rho_df_closure_sound", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 472, "unconditional": false, "shipping_functions_named": [ "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [ "rho_df_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_rdf_term_eq_sound", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 501, "unconditional": false, "shipping_functions_named": [ "rdf_term_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [ "rho_df_object_ok" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_fold_left_reaches_at", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 520, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "fold_left_reaches_scoped", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 551, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_emit_once_term_grows", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 582, "unconditional": true, "shipping_functions_named": [ "emit_once_term" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_emit_once_term_reaches", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 587, "unconditional": false, "shipping_functions_named": [ "emit_once_term" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "rho_df_frag_graph", "rho_df_object_ok", "snapshot_subset" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.RDFS.Refinement" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Refinement" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_find_objects_complete", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 625, "unconditional": false, "shipping_functions_named": [ "build_indexed", "find_objects_indexed" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "rdfs_rule_domain_reaches2", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 656, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_domain" ], "shipping_modules": [ "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "is_subgraph", "rdfs2_derives", "rho_df_frag_graph" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.RDFS.Spec", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec", "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_rule_domain_reaches", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 752, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_domain" ], "shipping_modules": [ "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "rdfs2_derives", "rho_df_frag_graph" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_subj_term_to_subject", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 764, "unconditional": false, "shipping_functions_named": [ "term_to_subject" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "rdfs_rule_range_reaches2", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 772, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_range" ], "shipping_modules": [ "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "is_subgraph", "rdfs3_derives", "rho_df_frag_graph" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.RDFS.Spec", "RDF.Entailment.Simple.Spec" ], 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"unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_subPropertyOf" ], "shipping_modules": [ "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "is_subgraph", "rdfs7_derives", "rho_df_frag_graph" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.RDFS.Spec", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec", "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_rule_subPropertyOf_reaches", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1097, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_subPropertyOf" ], "shipping_modules": [ "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "rdfs7_derives", "rho_df_frag_graph" ], "declarative_modules": 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"RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1205, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_subClassOf_trans" ], "shipping_modules": [ "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "rdfs11_derives" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_rule_subPropertyOf_trans_reaches2", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1213, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_subPropertyOf_trans" ], "shipping_modules": [ "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "is_subgraph", "rdfs5_derives" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec", "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_rule_subPropertyOf_trans_reaches", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1276, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_subPropertyOf_trans" ], "shipping_modules": [ "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "rdfs5_derives" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_rule_subClassOf_reaches_iri2", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1311, "unconditional": false, "shipping_functions_named": [ "build_indexed", "i_rdf_type", "i_rdfs_subClassOf", "rdfs_rule_subClassOf" ], "shipping_modules": [ "RDF.Indexed", "RDF.Vocabulary.Axioms", "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "is_subgraph", "rho_df_frag_graph" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rdfs_rule_subClassOf_reaches_iri", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1409, "unconditional": false, "shipping_functions_named": [ "build_indexed", "i_rdf_type", "i_rdfs_subClassOf", "rdfs_rule_subClassOf" ], "shipping_modules": [ "RDF.Indexed", "RDF.Vocabulary.Axioms", "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "rho_df_frag_graph" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Completeness" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_f1_witness_frag", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1464, "unconditional": false, "shipping_functions_named": [ "f1_witness", "i_rdfs_subPropertyOf" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "RDF.Vocabulary.Axioms" ], "declarative_relations_named": [ "rho_df_frag_graph" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_f1_bad_triple_not_frag", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1468, "unconditional": true, "shipping_functions_named": [ "f1_bad_triple" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [ "rho_df_frag_triple" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_f1_bad_triple_derived", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1477, "unconditional": false, "shipping_functions_named": [ "build_indexed", "f1_bad_triple", "f1_witness", "i_rdfs_subPropertyOf", "rdfs_rule_subPropertyOf" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "RDF.Indexed", "RDF.Vocabulary.Axioms", "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rho_df_frag_preservation_fails", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1504, "unconditional": false, "shipping_functions_named": [ "build_indexed", "f1_bad_triple", "f1_witness", "i_rdfs_subPropertyOf", "rdfs_rule_subPropertyOf" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "RDF.Indexed", "RDF.Vocabulary.Axioms", "RDFS.Closure" ], "declarative_relations_named": [ "ig_wf_sp", "rho_df_frag_graph", "rho_df_frag_triple" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Completeness" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rho_df_closure_step_no_repeats", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1550, "unconditional": true, "shipping_functions_named": [ "rho_df_closure_step" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "rho_df_len_eq_saturated", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1560, "unconditional": false, "shipping_functions_named": [ "graph_len", "rho_df_closure_step", "rho_df_closure_step_pre_dedup" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "RDF.Graph" ], "declarative_relations_named": [ "no_dup_keys" ], "declarative_modules": [ "RDF.Entailment.RDFS.FixedPoint" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_after_row1_pre_dedup", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1580, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_subPropertyOf", "rho_df_closure_step_pre_dedup" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_after_row2_pre_dedup", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1594, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_domain", "rdfs_rule_subPropertyOf", "rho_df_closure_step_pre_dedup" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_after_row3_pre_dedup", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1607, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_domain", "rdfs_rule_range", "rdfs_rule_subPropertyOf", "rho_df_closure_step_pre_dedup" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_after_row4_pre_dedup", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1618, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_domain", "rdfs_rule_range", "rdfs_rule_subClassOf", "rdfs_rule_subPropertyOf", "rho_df_closure_step_pre_dedup" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_after_row5_pre_dedup", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1629, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_domain", "rdfs_rule_range", "rdfs_rule_subClassOf", "rdfs_rule_subClassOf_trans", "rdfs_rule_subPropertyOf", "rho_df_closure_step_pre_dedup" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_pre_dedup_in_c", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1647, "unconditional": false, "shipping_functions_named": [ "rho_df_closure_step_pre_dedup" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [ "no_dup_keys" ], "declarative_modules": [ "RDF.Entailment.RDFS.FixedPoint" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_c_in_g1", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1670, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_subPropertyOf" ], "shipping_modules": [ "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "is_subgraph" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_c_in_g2", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1677, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_domain", "rdfs_rule_subPropertyOf" ], "shipping_modules": [ "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "is_subgraph" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_c_in_g3", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1686, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_domain", "rdfs_rule_range", "rdfs_rule_subPropertyOf" ], "shipping_modules": [ "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "is_subgraph" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_c_in_g4", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1696, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_domain", "rdfs_rule_range", "rdfs_rule_subClassOf", "rdfs_rule_subPropertyOf" ], "shipping_modules": [ "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "is_subgraph" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_c_in_g5", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1707, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rdfs_rule_domain", "rdfs_rule_range", "rdfs_rule_subClassOf", "rdfs_rule_subClassOf_trans", "rdfs_rule_subPropertyOf" ], "shipping_modules": [ "RDF.Indexed", "RDFS.Closure" ], "declarative_relations_named": [ "is_subgraph" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rho_df_closed_row_domain", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1729, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rho_df_closure_step_pre_dedup" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "RDF.Indexed" ], "declarative_relations_named": [ "ig_wf_sp", "no_dup_keys", "rdfs2_derives", "rho_df_frag_graph" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.RDFS.FixedPoint", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rho_df_closed_row_range", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1744, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rho_df_closure_step_pre_dedup" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "RDF.Indexed" ], "declarative_relations_named": [ "ig_wf_sp", "no_dup_keys", "rdfs3_derives", "rho_df_frag_graph" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.RDFS.FixedPoint", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rho_df_closed_row_subPropertyOf", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1765, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rho_df_closure_step_pre_dedup" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "RDF.Indexed" ], "declarative_relations_named": [ "ig_wf_sp", "no_dup_keys", "rdfs7_derives", "rho_df_frag_graph" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.RDFS.FixedPoint", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rho_df_closed_row_subClassOf_trans", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1778, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rho_df_closure_step_pre_dedup" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "RDF.Indexed" ], "declarative_relations_named": [ "ig_wf_sp", "no_dup_keys", "rdfs11_derives", "rho_df_frag_graph" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.RDFS.FixedPoint", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rho_df_closed_row_subPropertyOf_trans", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1794, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rho_df_closure_step_pre_dedup" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "RDF.Indexed" ], "declarative_relations_named": [ "ig_wf_sp", "no_dup_keys", "rdfs5_derives", "rho_df_frag_graph" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.RDFS.FixedPoint", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_rho_df_closed_row_subClassOf", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1813, "unconditional": false, "shipping_functions_named": [ "build_indexed", "rho_df_closure_step_pre_dedup" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "RDF.Indexed" ], "declarative_relations_named": [ "ig_wf_sp", "no_dup_keys", "rdfs9_derives", "rho_df_frag_graph" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.RDFS.FixedPoint", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rho_df_closure_closed", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1858, "unconditional": false, "shipping_functions_named": [ "build_indexed", "graph_len", "rho_df_closure", "rho_df_closure_step", "rho_df_closure_step_pre_dedup" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "RDF.Graph", "RDF.Indexed" ], "declarative_relations_named": [ "ig_wf_sp", "no_dup_keys", "rho_df_closed", "rho_df_frag_graph" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.RDFS.FixedPoint" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "rho_df_closure_decides", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1905, "unconditional": false, "shipping_functions_named": [ "build_indexed", "graph_len", "rho_df_closure", "rho_df_closure_step", "rho_df_closure_step_pre_dedup" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "RDF.Graph", "RDF.Indexed" ], "declarative_relations_named": [ "graph_tt_free", "ig_wf_sp", "no_dup_keys", "rho_df_entails", "rho_df_frag_graph", "simple_entailment_spec" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.RDFS.FixedPoint", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_is_rho_df_object_ok_correct", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1946, "unconditional": true, "shipping_functions_named": [ "is_rho_df_object_ok" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [ "rho_df_object_ok" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_is_rho_df_frag_triple_correct", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1963, "unconditional": true, "shipping_functions_named": [ "is_rho_df_frag_triple" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [ "rho_df_frag_triple" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_is_rho_df_frag_is_for_all", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1977, "unconditional": true, "shipping_functions_named": [ "is_rho_df_frag", "is_rho_df_frag_triple" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_is_rho_df_frag_correct", "host_module": "RDF.Entailment.RDFS.RhoDFClosure", "file": "formal/fstar/RDF.Entailment.RDFS.RhoDFClosure.fst", "line": 1989, "unconditional": true, "shipping_functions_named": [ "is_rho_df_frag" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [ "rho_df_frag_graph" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_graph_sep_free_sp", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 104, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sep_free", "graph_sp_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [ "RDF.Indexed.KeyInjectivity" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_vocab_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 118, "unconditional": true, "shipping_functions_named": [ "i_rdf_Property", "i_rdf_type", "i_rdfs_Class", "i_rdfs_ContainerMembershipProperty", "i_rdfs_Datatype", "i_rdfs_Literal", "i_rdfs_Resource", "i_rdfs_domain", "i_rdfs_member", "i_rdfs_range", "i_rdfs_subClassOf", "i_rdfs_subPropertyOf" ], "shipping_modules": [ "RDF.Vocabulary.Axioms" ], "declarative_relations_named": [ "str_sep_free" ], "declarative_modules": [ "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [ "RDF.Indexed.KeyInjectivity" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_subj_term_obj_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 157, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "obj_label_sep_free", "subj_label_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [ "RDF.Indexed.KeyInjectivity" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_subj_term_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 167, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "obj_label_sep_free", "subj_label_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [ "RDF.Indexed.KeyInjectivity" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfD2_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 191, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sep_free", "rdfD2_derives", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDF.Spec", "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [ "RDF.Entailment.RDF.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs1_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 205, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "datatype_set_sep_free", "rdfs1_derives", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs2_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 215, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sep_free", "rdfs2_derives", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs3_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 229, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sep_free", "rdfs3_derives", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs4a_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 242, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sep_free", "rdfs4a_derives", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs4b_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 254, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sep_free", "rdfs4b_derives", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs5_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 268, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sep_free", "rdfs5_derives", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs6_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 282, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sep_free", "rdfs6_derives", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs7_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 292, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sep_free", "rdfs7_derives", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs8_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 305, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sep_free", "rdfs8_derives", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs9_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 317, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sep_free", "rdfs9_derives", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs10_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 329, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sep_free", "rdfs10_derives", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs11_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 340, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sep_free", "rdfs11_derives", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs12_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 354, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sep_free", "rdfs12_derives", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs13_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 365, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sep_free", "rdfs13_derives", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs_subClassOf_endpoint_refl_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 380, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sep_free", "rdfs_subClassOf_endpoint_refl", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs_subPropertyOf_endpoint_refl_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 400, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sep_free", "rdfs_subPropertyOf_endpoint_refl", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_graph_sep_free_b_sound", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 448, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_iri_list_sep_free_b_sound", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 468, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "str_sep_free" ], "declarative_modules": [ "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [ "RDF.Indexed.KeyInjectivity" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_axiomatic_tables_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 477, "unconditional": true, "shipping_functions_named": [ "container_membership_properties", "rdf_axiomatic_triples", "rdfs_axiomatic_triples" ], "shipping_modules": [ "RDF.Vocabulary.Axioms", "RDFS.Closure" ], "declarative_relations_named": [ "str_sep_free", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [ "RDF.Indexed.KeyInjectivity" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_triple_clean_full_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 519, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "triple_full_sep_free", "triple_obj_not_tt", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [ "RDF.Indexed.KeyInjectivity" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_graph_clean_full_sep_free", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 527, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_clean", "graph_full_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [ "RDF.Indexed.KeyInjectivity" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs2_obj_not_tt", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 548, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_obj_not_tt", "rdfs2_derives", "triple_obj_not_tt" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs3_obj_not_tt", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 558, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_obj_not_tt", "rdfs3_derives", "triple_obj_not_tt" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs7_obj_not_tt", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 569, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_obj_not_tt", "rdfs7_derives", "triple_obj_not_tt" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs9_sep_free2", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 583, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sep_free", "rdfs9_derives2", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs9_obj_not_tt2", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 594, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_obj_not_tt", "rdfs9_derives2", "triple_obj_not_tt" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs11_sep_free2", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 605, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sep_free", "rdfs11_derives2", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs11_obj_not_tt2", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 617, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_obj_not_tt", "rdfs11_derives2", "triple_obj_not_tt" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs5_sep_free2", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 629, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sep_free", "rdfs5_derives2", "triple_sep_free" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs5_obj_not_tt2", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 641, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_obj_not_tt", "rdfs5_derives2", "triple_obj_not_tt" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs1_obj_not_tt", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 655, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rdfs1_derives", "triple_obj_not_tt" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs4a_obj_not_tt", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 667, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rdfs4a_derives", "triple_obj_not_tt" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs4b_obj_not_tt", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 675, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rdfs4b_derives", "triple_obj_not_tt" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs8_obj_not_tt", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 683, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rdfs8_derives", "triple_obj_not_tt" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdfs13_obj_not_tt", "host_module": "RDF.Entailment.RDFS.SepFree", "file": "formal/fstar/RDF.Entailment.RDFS.SepFree.fst", "line": 691, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rdfs13_derives", "triple_obj_not_tt" ], "declarative_modules": [ "RDF.Entailment.RDFS.SepFree", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "relabelling", "host_module": "RDF.Entailment.Simple.Boundary", "file": "formal/fstar/RDF.Entailment.Simple.Boundary.fst", "line": 63, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rename_term_exact", "host_module": "RDF.Entailment.Simple.Boundary", "file": "formal/fstar/RDF.Entailment.Simple.Boundary.fst", "line": 90, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "term_exact" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rename_graph_exact", "host_module": "RDF.Entailment.Simple.Boundary", "file": "formal/fstar/RDF.Entailment.Simple.Boundary.fst", "line": 96, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_exact" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rename_subj_inst", "host_module": "RDF.Entailment.Simple.Boundary", "file": "formal/fstar/RDF.Entailment.Simple.Boundary.fst", "line": 112, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "subj_inst" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rename_term_inst", "host_module": "RDF.Entailment.Simple.Boundary", "file": "formal/fstar/RDF.Entailment.Simple.Boundary.fst", "line": 120, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "term_inst" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rename_triple_inst", "host_module": "RDF.Entailment.Simple.Boundary", "file": "formal/fstar/RDF.Entailment.Simple.Boundary.fst", "line": 137, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "triple_inst" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_subst_ext_subj", "host_module": "RDF.Entailment.Simple.Boundary", "file": "formal/fstar/RDF.Entailment.Simple.Boundary.fst", "line": 148, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "subj_inst" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_subst_ext_term", "host_module": "RDF.Entailment.Simple.Boundary", "file": "formal/fstar/RDF.Entailment.Simple.Boundary.fst", "line": 155, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "term_inst" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_subst_ext_triple", "host_module": "RDF.Entailment.Simple.Boundary", "file": "formal/fstar/RDF.Entailment.Simple.Boundary.fst", "line": 170, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "triple_inst" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_memP_rename_intro", "host_module": "RDF.Entailment.Simple.Boundary", "file": "formal/fstar/RDF.Entailment.Simple.Boundary.fst", "line": 178, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_memP_rename_elim", "host_module": "RDF.Entailment.Simple.Boundary", "file": "formal/fstar/RDF.Entailment.Simple.Boundary.fst", "line": 186, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "spec_rename_specialises", "host_module": "RDF.Entailment.Simple.Boundary", "file": "formal/fstar/RDF.Entailment.Simple.Boundary.fst", "line": 204, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "simple_entailment_spec" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "spec_rename_generalises", "host_module": "RDF.Entailment.Simple.Boundary", "file": "formal/fstar/RDF.Entailment.Simple.Boundary.fst", "line": 233, "unconditional": false, 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"match_subj" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "binding_compat", "subj_inst" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_match_term_complete", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 191, "unconditional": false, "shipping_functions_named": [ "match_term" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "binding_compat", "bnd_total", "leq_reflexive", "term_inst" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_match_triple_complete", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 220, "unconditional": false, "shipping_functions_named": [ "match_triple" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "binding_compat", "bnd_total", "leq_reflexive", "triple_inst" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_try_match_complete", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 239, "unconditional": false, "shipping_functions_named": [ "try_match" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "all_matched", "binding_compat", "bnd_total", "leq_reflexive" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_try_alts_complete", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 253, "unconditional": false, "shipping_functions_named": [ "try_alts" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "all_matched", "binding_compat", "bnd_total", "leq_reflexive", "triple_inst" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_simple_leq_reflexive", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 297, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "leq_reflexive" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_simple_bnd_total", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 300, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "bnd_total" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_simple_leq_always_identity", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 306, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "leq_always_identity" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_simple_leq_exact_identity", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 314, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "leq_exact_identity" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_simple_entails_unfold", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 320, "unconditional": true, "shipping_functions_named": [ "simple_entails", "try_match" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "simple_entails_complete", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 328, "unconditional": false, "shipping_functions_named": [ "simple_entails" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "simple_entailment_spec" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_match_subj_sound", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 355, "unconditional": false, "shipping_functions_named": [ "match_subj" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "binding_exact", "binding_extends", "subj_inst" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_match_term_sound", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 372, "unconditional": false, "shipping_functions_named": [ "match_term" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "binding_exact", "binding_extends", "leq_exact_identity", "term_exact", "term_inst" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_match_triple_sound", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 418, "unconditional": false, "shipping_functions_named": [ "match_triple" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "binding_exact", "binding_extends", "leq_exact_identity", "triple_exact", "triple_inst" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_try_match_sound", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 450, "unconditional": false, "shipping_functions_named": [ "try_match" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "binding_exact", "graph_exact", "leq_exact_identity", "search_witness" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_try_alts_sound", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 465, "unconditional": false, "shipping_functions_named": [ "try_alts" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "binding_exact", "graph_exact", "is_subgraph", "leq_exact_identity", "search_witness", "triple_exact" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "simple_entails_sound", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 510, "unconditional": false, "shipping_functions_named": [ "simple_entails" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "graph_exact", "simple_entailment_spec" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "entails_with_complete", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 535, "unconditional": false, "shipping_functions_named": [ "entails_with" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "bnd_total", "leq_reflexive", "simple_entailment_spec" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "entails_with_sound", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 548, "unconditional": false, "shipping_functions_named": [ "entails_with" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "graph_exact", "leq_exact_identity", "simple_entailment_spec" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "simple_entails_iff_spec", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 564, "unconditional": false, "shipping_functions_named": [ "simple_entails" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "graph_exact", "simple_entailment_spec" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_se1_lit_wf", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 628, "unconditional": true, "shipping_functions_named": [ "literal_wf" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "simple_entails_se1_regression", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 644, "unconditional": false, "shipping_functions_named": [ "simple_entails" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "simple_entailment_spec" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "simple_entails_se1_positive_regression", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 688, "unconditional": true, "shipping_functions_named": [ "simple_entails" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "simple_entailment_spec" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_spec_is_instance_subgraph", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 719, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "instance_subgraph_form", "simple_entailment_spec" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_match_subj_ground_sound", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 746, "unconditional": false, "shipping_functions_named": [ "match_subj" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_match_term_ground_sound", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 753, "unconditional": false, "shipping_functions_named": [ "match_term" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "leq_always_identity" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_match_triple_ground_sound", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 780, "unconditional": false, "shipping_functions_named": [ "match_triple" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "leq_always_identity" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_try_match_ground_sound", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 794, "unconditional": false, "shipping_functions_named": [ "try_match" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "graph_ground", "is_subgraph", "leq_always_identity" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_try_alts_ground_sound", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 805, "unconditional": false, "shipping_functions_named": [ "try_alts" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "graph_ground", "is_subgraph", "leq_always_identity" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement", "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_subj_inst_ground_refl", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 835, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "subj_inst" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_term_inst_ground_refl", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 841, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "term_inst" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_triple_inst_ground_refl", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 854, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "triple_inst" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "simple_entails_sound_ground", "host_module": "RDF.Entailment.Simple.Refinement", "file": "formal/fstar/RDF.Entailment.Simple.Refinement.fst", "line": 867, "unconditional": false, "shipping_functions_named": [ "simple_entails" ], "shipping_modules": [ "RDF.Entailment.Simple" ], "declarative_relations_named": [ "graph_ground", "simple_entailment_spec" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_mem_triple_append", "host_module": "RDF.Graph.Executable", "file": "formal/fstar/RDF.Graph.Executable.fst", "line": 218, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_remove_absent", "host_module": "RDF.Graph.Executable", "file": "formal/fstar/RDF.Graph.Executable.fst", "line": 229, "unconditional": true, "shipping_functions_named": [ "graph_remove" ], "shipping_modules": [ "RDF.Graph.Executable" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_bind_preserves_existing", "host_module": "RDF.Graph.Executable", "file": "formal/fstar/RDF.Graph.Executable.fst", "line": 521, "unconditional": true, "shipping_functions_named": [ "apply_bind" ], "shipping_modules": [ "RDF.Graph.Executable" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_key_order_cmp_zero_iff_eq", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 65, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_key_order_cmp_antisym", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 71, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_key_order_cmp_trans", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 77, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_key_order_cmp_trans_le", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 88, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_dkey_is_key_order_cmp", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 102, "unconditional": true, "shipping_functions_named": [ "cmp_by_decorated_key" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_partition_pred_memP", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 134, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_partition_pred_memP_forall", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 143, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sorted_pairs_append", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 153, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "sorted_pairs" ], "declarative_modules": [ "RDF.Indexed.Completeness" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sortWith_sorted_pairs", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 177, "unconditional": true, "shipping_functions_named": [ "cmp_by_decorated_key" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "sorted_pairs" ], "declarative_modules": [ "RDF.Indexed.Completeness" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_group_exists", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 227, "unconditional": true, "shipping_functions_named": [ "group_sorted_decorated_aux" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_forall_lt_trans", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 267, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_group_sorted", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 296, "unconditional": false, "shipping_functions_named": [ "group_sorted_decorated_aux" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "group_sorted_inv", "sorted_kv_desc" ], "declarative_modules": [ "RDF.Indexed.Completeness" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_rev_cons", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 354, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sorted_kv_snoc", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 361, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "sorted_kv" ], "declarative_modules": [ "RDF.Indexed.Completeness" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rev_desc_to_asc", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 373, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "sorted_kv", "sorted_kv_desc" ], "declarative_modules": [ "RDF.Indexed.Completeness" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sorted_kv_append", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 396, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "sorted_kv" ], "declarative_modules": [ "RDF.Indexed.Completeness" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_take_prefix_acc_append", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 416, "unconditional": true, "shipping_functions_named": [ "take_prefix_acc" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_take_prefix_append", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 430, "unconditional": true, "shipping_functions_named": [ "take_prefix" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_take_prefix_acc_length", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 436, "unconditional": false, "shipping_functions_named": [ "take_prefix_acc" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_take_prefix_length", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 448, "unconditional": false, "shipping_functions_named": [ "take_prefix" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_slt_lookup_complete", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 473, "unconditional": false, "shipping_functions_named": [ "bucket_lookup", "sorted_list_to_tree_fuel" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "sorted_kv" ], "declarative_modules": [ "RDF.Indexed.Completeness" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_build_bucket_complete", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 518, "unconditional": false, "shipping_functions_named": [ "bucket_lookup", "build_bucket" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_build_indexed_complete_pred", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 545, "unconditional": true, "shipping_functions_named": [ "bucket_lookup", "build_indexed" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_build_indexed_complete_subj", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 583, "unconditional": true, "shipping_functions_named": [ "bucket_lookup", "build_indexed", "subject_to_key" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_build_indexed_complete_sp", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 597, "unconditional": true, "shipping_functions_named": [ "bucket_lookup", "build_indexed", "sp_key" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_build_indexed_complete_obj", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 611, "unconditional": true, "shipping_functions_named": [ "bucket_lookup", "build_indexed", "term_to_key_opt" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_build_indexed_complete_po", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 625, "unconditional": true, "shipping_functions_named": [ "bucket_lookup", "build_indexed", "po_key_opt" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_build_indexed_complete_so", "host_module": "RDF.Indexed.Completeness", "file": "formal/fstar/RDF.Indexed.Completeness.fst", "line": 639, "unconditional": true, "shipping_functions_named": [ "bucket_lookup", "build_indexed", "so_key_opt" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_count_sep_append", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 55, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sep_split_unique", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 71, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_subject_key_sep_free", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 96, "unconditional": false, "shipping_functions_named": [ "subject_to_key" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "str_sep_free", "subj_label_sep_free" ], "declarative_modules": [ "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_subject_to_key_injective", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 111, "unconditional": false, "shipping_functions_named": [ "subject_to_key" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sp_key_decomposes", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 134, "unconditional": true, "shipping_functions_named": [ "sp_key", "subject_to_key" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "sp_key_injective_one_sided", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 146, "unconditional": false, "shipping_functions_named": [ "sp_key" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "str_sep_free", "subj_label_sep_free" ], "declarative_modules": [ "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_build_indexed_wf_sp", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 187, "unconditional": false, "shipping_functions_named": [ "build_indexed" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "graph_sp_sep_free", "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics", "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_count_sep_b_eq", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 220, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_graph_sp_sep_free_b_sound", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 235, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_sp_sep_free" ], "declarative_modules": [ "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_wf_sp_nonempty_instance", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 259, "unconditional": true, "shipping_functions_named": [ "build_indexed" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_build_indexed_wf_subj", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 275, "unconditional": true, "shipping_functions_named": [ "build_indexed" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "ig_wf_subj" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_term_to_key_opt_injective", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 311, "unconditional": false, "shipping_functions_named": [ "term_to_key_opt" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_subject_to_key_eq_term_to_key_opt", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 342, "unconditional": true, "shipping_functions_named": [ "subject_to_key", "subject_to_term", "term_to_key_opt" ], "shipping_modules": [ "RDF.Graph", "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_build_indexed_wf_obj", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 351, "unconditional": true, "shipping_functions_named": [ "build_indexed" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "ig_wf_obj" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_po_key_eq_po_key_opt", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 388, "unconditional": true, "shipping_functions_named": [ "po_key", "po_key_opt", "subject_to_term" ], "shipping_modules": [ "RDF.Graph", "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_term_to_subject_roundtrip", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 396, "unconditional": false, "shipping_functions_named": [ "subject_to_term", "term_to_subject" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_po_key_opt_some_iff_term_to_subject_some", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 412, "unconditional": true, "shipping_functions_named": [ "po_key_opt", "term_to_subject" ], "shipping_modules": [ "RDF.Graph", "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_po_key_decomposes", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 423, "unconditional": true, "shipping_functions_named": [ "po_key", "subject_to_key" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "po_key_injective_one_sided", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 430, "unconditional": false, "shipping_functions_named": [ "po_key" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "str_sep_free", "subj_label_sep_free" ], "declarative_modules": [ "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_build_indexed_wf_po", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 468, "unconditional": false, "shipping_functions_named": [ "build_indexed" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "graph_po_sep_free", "ig_wf_po" ], "declarative_modules": [ "OWL.Semantics", "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_literal_sep_free_b_sound", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 550, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "literal_sep_free" ], "declarative_modules": [ "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_literal_key_decomposes_1", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 576, "unconditional": true, "shipping_functions_named": [ "lit_key_dir_part", "lit_key_lang_part", "term_to_key_total", "unit_sep" ], "shipping_modules": [ "RDF.Graph", "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_literal_key_decomposes_2", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 589, "unconditional": true, "shipping_functions_named": [ "lit_key_dir_part", "lit_key_lang_part", "unit_sep" ], "shipping_modules": [ "RDF.Graph", "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_literal_key_decomposes_3", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 598, "unconditional": true, "shipping_functions_named": [ "lit_key_dir_part", "lit_key_lang_part", "unit_sep" ], "shipping_modules": [ "RDF.Graph", "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_literal_prefix_sep_free", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 608, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "str_sep_free" ], "declarative_modules": [ "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_lit_key_lang_part_sep_free", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 617, "unconditional": false, "shipping_functions_named": [ "lit_key_lang_part" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [ "str_sep_free" ], "declarative_modules": [ "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_lit_key_dir_part_injective", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 640, "unconditional": false, "shipping_functions_named": [ "lit_key_dir_part" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_lit_key_lang_part_injective", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 658, "unconditional": false, "shipping_functions_named": [ "lit_key_lang_part" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_literal_key_injective", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 687, "unconditional": false, "shipping_functions_named": [ "term_to_key_total" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [ "literal_sep_free" ], "declarative_modules": [ "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_triple_term_key_decomposes_1", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 755, "unconditional": true, "shipping_functions_named": [ "subject_to_key", "term_to_key_total", "unit_sep" ], "shipping_modules": [ "RDF.Graph", "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_triple_term_key_decomposes_2", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 763, "unconditional": true, "shipping_functions_named": [ "term_to_key_total", "unit_sep" ], "shipping_modules": [ "RDF.Graph", "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_triple_term_prefix_sep_free", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 773, "unconditional": false, "shipping_functions_named": [ "subject_to_key" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "str_sep_free" ], "declarative_modules": [ "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_term_to_key_total_injective", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 781, "unconditional": false, "shipping_functions_named": [ "term_to_key_total" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [ "term_sep_free" ], "declarative_modules": [ "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_triple_to_key_injective", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 901, "unconditional": false, "shipping_functions_named": [ "triple_to_key" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [ "triple_full_sep_free" ], "declarative_modules": [ "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_graph_full_sep_free_no_dup_keys", "host_module": "RDF.Indexed.KeyInjectivity", "file": "formal/fstar/RDF.Indexed.KeyInjectivity.fst", "line": 954, "unconditional": false, "shipping_functions_named": [ "triple_to_key" ], "shipping_modules": [ "RDF.Graph" ], "declarative_relations_named": [ "graph_full_sep_free" ], "declarative_modules": [ "RDF.Indexed.KeyInjectivity" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "string_compare_zero_iff_eq", "host_module": "RDF.Indexed.StringOrder", "file": "formal/fstar/RDF.Indexed.StringOrder.fsti", "line": 33, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "string_compare_antisym", "host_module": "RDF.Indexed.StringOrder", "file": "formal/fstar/RDF.Indexed.StringOrder.fsti", "line": 38, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "string_compare_trans", "host_module": "RDF.Indexed.StringOrder", "file": "formal/fstar/RDF.Indexed.StringOrder.fsti", "line": 42, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_append_aux_eq", "host_module": "RDF.List.Helpers", "file": "formal/fstar/RDF.List.Helpers.fst", "line": 53, "unconditional": true, "shipping_functions_named": [ "append_aux" ], "shipping_modules": [ "RDF.List.Helpers" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_append_tr_eq", "host_module": "RDF.List.Helpers", "file": "formal/fstar/RDF.List.Helpers.fst", "line": 80, "unconditional": true, "shipping_functions_named": [ "append_tr" ], "shipping_modules": [ "RDF.List.Helpers" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rev_rev_app", "host_module": "RDF.List.Helpers", "file": "formal/fstar/RDF.List.Helpers.fst", "line": 117, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_concatMap_aux_eq", "host_module": "RDF.List.Helpers", "file": "formal/fstar/RDF.List.Helpers.fst", "line": 126, "unconditional": true, "shipping_functions_named": [ "concatMap_aux" ], "shipping_modules": [ "RDF.List.Helpers" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_concatMap_tr_eq", "host_module": "RDF.List.Helpers", "file": "formal/fstar/RDF.List.Helpers.fst", "line": 155, "unconditional": true, "shipping_functions_named": [ "concatMap_tr" ], "shipping_modules": [ "RDF.List.Helpers" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_assoc_tr_eq", "host_module": "RDF.List.Helpers", "file": "formal/fstar/RDF.List.Helpers.fst", "line": 185, "unconditional": true, "shipping_functions_named": [ "assoc_tr" ], "shipping_modules": [ "RDF.List.Helpers" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "cong_string_of_list", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 144, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "split_lines_acc_reconstruct", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 177, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "split_lines_acc_pending_no_nl", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 211, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "split_complete_lines_reconstruct", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 245, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "split_complete_lines_carry_no_nl", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 268, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "split_lines_acc_no_nl", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 287, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "split_complete_lines_no_newline", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 303, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "split_complete_lines_extend_carry", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 326, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "split_lines_acc_ends_in_newline", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 342, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "split_complete_lines_ends_in_newline", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 362, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "empty_string_concat_left", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 436, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "stream_parse_single_chunk_shape", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 453, "unconditional": true, "shipping_functions_named": [ "dataset_finalise", "fs_byte_length", "parse_nquads_acc" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads", "RDF.Graph.Executable" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_fs_byte_index_concat", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 530, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length" ], "shipping_modules": [ "Parser.FastString" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_byte_index_at_middle", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 551, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length" ], "shipping_modules": [ "Parser.FastString" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "empty_string_concat_right", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 564, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "parse_nquads_acc_concat_line_empty_complete", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 603, "unconditional": true, "shipping_functions_named": [ "fs_byte_length", "parse_nquads_acc" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "parse_nquads_acc_concat_line_empty_carry", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 617, "unconditional": true, "shipping_functions_named": [ "fs_byte_length", "parse_nquads_acc" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "theorem_stream_eq_batch_single_chunk_no_newline", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 657, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_stream_eq_batch_single_chunk_ends_in_newline", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 670, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_stream_eq_batch_single_chunk", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 690, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_skip_comment_shift", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 960, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length", "nt_skip_to_eol", "skip_comment" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_nq_skip_line_shift_exact", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 980, "unconditional": false, "shipping_functions_named": [ "fs_byte_at", "fs_byte_length", "nq_skip_line" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_nquads_acc_blank_step_shift", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1203, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "parse_nquads_acc" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [ "blank_line_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_parse_nquads_acc_skip_blanks", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1250, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "parse_nquads_acc" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [ "blank_chain_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_parse_nquads_acc_comment_step_shift", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1318, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "parse_nquads_acc" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [ "comment_line_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_parse_nquads_acc_quad_fail_step_shift", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1382, "unconditional": false, "shipping_functions_named": [ "fs_byte_at", "fs_byte_length", "parse_nquad", "parse_nquads_acc" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [ "quad_fail_line_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_parse_nquads_acc_quad_ok_step_shift", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1477, "unconditional": false, "shipping_functions_named": [ "dataset_add_quad", "fs_byte_length", "parse_iri", "parse_nquad", "parse_nquads_acc", "parse_object", "parse_opt_graph_label", "parse_subject" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads", "Parser.NTriples" ], "declarative_relations_named": [ "quad_ok_line_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_parse_nquads_acc_line_step_shift", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1619, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "parse_nquads_acc" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [ "lw_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_parse_nquads_acc_restart", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1670, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "parse_nquads_acc" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [ "chain_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_parse_nquads_acc_full_via_chain", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1711, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "parse_nquads_acc" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [ "chain_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_parse_nquads_acc_concat_line_general", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1756, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "parse_nquads_acc" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [ "chain_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_stream_eq_batch_single_chunk_general", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 1839, "unconditional": false, "shipping_functions_named": [ "fs_byte_length" ], "shipping_modules": [ 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"stream_consume_single_chunk_shape", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2757, "unconditional": true, "shipping_functions_named": [ "fold_nquads_acc", "fs_byte_length" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "fold_nquads_acc_empty", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2774, "unconditional": true, "shipping_functions_named": [ "fold_nquads_acc" ], "shipping_modules": [ "Parser.NQuads" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_stream_consume_single_chunk_no_newline", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2793, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_stream_consume_single_chunk_ends_in_newline", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2806, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_stream_consume_single_chunk", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2823, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "fold_nquads_acc_eq_parse_nquads_acc", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2879, "unconditional": true, "shipping_functions_named": [ "fold_nquads_acc", "parse_nquads_acc" ], "shipping_modules": [ "Parser.NQuads" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "stream_consume_dataset_fold_eq_batch", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2937, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "parse_nquads_acc" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [ "stream_fold_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "stream_consume_dataset_eq_batch_raw", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2971, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "parse_nquads_acc" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [ "stream_fold_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_stream_consume_dataset_eq_batch", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 2991, "unconditional": false, "shipping_functions_named": [ "dataset_finalise" ], "shipping_modules": [ "RDF.Graph.Executable" ], "declarative_relations_named": [ "stream_fold_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_fold_nquads_acc_blank_step_shift", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 3132, "unconditional": false, "shipping_functions_named": [ "fold_nquads_acc", "fs_byte_length" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [ "blank_line_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_fold_nquads_acc_comment_step_shift", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 3155, "unconditional": false, "shipping_functions_named": [ "fold_nquads_acc", "fs_byte_length" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [ "comment_line_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_fold_nquads_acc_quad_fail_step_shift", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 3180, "unconditional": false, "shipping_functions_named": [ "fold_nquads_acc", "fs_byte_at", "fs_byte_length", "parse_nquad" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [ "quad_fail_line_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_fold_nquads_acc_quad_ok_step_shift", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 3213, "unconditional": false, "shipping_functions_named": [ "fold_nquads_acc", "fs_byte_length", "parse_iri", "parse_nquad", "parse_object", "parse_opt_graph_label", "parse_subject" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads", "Parser.NTriples" ], "declarative_relations_named": [ "quad_ok_line_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_fold_nquads_acc_line_step_shift", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 3261, "unconditional": false, "shipping_functions_named": [ "fold_nquads_acc", "fs_byte_length" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [ "lw_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_fold_nquads_acc_restart", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 3286, "unconditional": false, "shipping_functions_named": [ "fold_nquads_acc", "fs_byte_length" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [ "chain_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_fold_nquads_acc_full_via_chain", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 3312, "unconditional": false, "shipping_functions_named": [ "fold_nquads_acc", "fs_byte_length" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [ "chain_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "fold_nquads_acc_concat_line_general", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 3336, "unconditional": false, "shipping_functions_named": [ "fold_nquads_acc", "fs_byte_length" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [ "chain_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "stream_consume_generic_fold_eq_batch", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 3380, "unconditional": false, "shipping_functions_named": [ "fold_nquads_acc", "fs_byte_length" ], "shipping_modules": [ "Parser.FastString", "Parser.NQuads" ], "declarative_relations_named": [ "stream_fold_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_stream_consume_eq_batch", "host_module": "RDF.NQuads.Streaming", "file": "formal/fstar/RDF.NQuads.Streaming.fst", "line": 3429, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "stream_fold_wf" ], "declarative_modules": [ "RDF.NQuads.Streaming" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_nq_subject_to_string_same_shape_iri", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 317, "unconditional": false, "shipping_functions_named": [ "nq_subject_to_string" ], "shipping_modules": [ "RDF.NQuads.Serialize" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_nq_subject_to_string_same_shape_bnode", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 326, "unconditional": false, "shipping_functions_named": [ "nq_subject_to_string" ], "shipping_modules": [ "RDF.NQuads.Serialize" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_nq_subject_to_string_cross_shape", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 339, "unconditional": true, "shipping_functions_named": [ "nq_subject_to_string" ], "shipping_modules": [ "RDF.NQuads.Serialize" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_nq_subject_to_string_injective", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 348, "unconditional": false, "shipping_functions_named": [ "nq_subject_to_string" ], "shipping_modules": [ "RDF.NQuads.Serialize" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_nq_term_to_string_same_shape_iri", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 365, "unconditional": false, "shipping_functions_named": [ "nq_term_to_string" ], "shipping_modules": [ "RDF.NQuads.Serialize" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_nq_term_to_string_same_shape_bnode", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 374, "unconditional": false, "shipping_functions_named": [ "nq_term_to_string" ], "shipping_modules": [ "RDF.NQuads.Serialize" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_nq_term_to_string_cross_shape", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 382, "unconditional": true, "shipping_functions_named": [ "nq_term_to_string" ], "shipping_modules": [ "RDF.NQuads.Serialize" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_nq_term_to_string_injective", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 393, "unconditional": false, "shipping_functions_named": [ "nq_term_to_string" ], "shipping_modules": [ "RDF.NQuads.Serialize" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_nq_objects_injective_pointwise", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 417, "unconditional": false, "shipping_functions_named": [ "nq_term_to_string" ], "shipping_modules": [ "RDF.NQuads.Serialize" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_extract_middle", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 481, "unconditional": true, "shipping_functions_named": [ "fs_byte_length", "fs_byte_sub" ], "shipping_modules": [ "Parser.FastString" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "checkpoint_a_closed_triple_round_trip", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 612, "unconditional": true, "shipping_functions_named": [ "nq_line_for_triple_default_graph", "parse_triple" ], "shipping_modules": [ "Parser.NTriples", "RDF.NQuads.Serialize" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_scan_iri_end_build_string", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 780, "unconditional": false, "shipping_functions_named": [ "is_iri_body_char", "scan_iri_end" ], "shipping_modules": [ "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_iri_raw_build_string", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 830, "unconditional": true, "shipping_functions_named": [ "is_iri_body_char", "parse_iri_raw" ], "shipping_modules": [ "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_iri_build_string", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 862, "unconditional": false, "shipping_functions_named": [ "is_iri_body_char", "parse_iri" ], "shipping_modules": [ "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_term_iri_round_trip_build_string", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 875, "unconditional": false, "shipping_functions_named": [ "is_iri_body_char", "nq_term_to_string", "parse_object" ], "shipping_modules": [ "Parser.NTriples", "RDF.NQuads.Serialize" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_term_iri_round_trip", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 952, "unconditional": false, "shipping_functions_named": [ "is_iri_body_char", "nq_term_to_string", "parse_object" ], "shipping_modules": [ "Parser.NTriples", "RDF.NQuads.Serialize" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_iri_round_trip", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1032, "unconditional": false, "shipping_functions_named": [ "is_iri_body_char", "parse_iri" ], "shipping_modules": [ "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_subject_iri_round_trip_build_string", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1052, "unconditional": false, "shipping_functions_named": [ "is_iri_body_char", "nq_subject_to_string", "parse_subject" ], "shipping_modules": [ "Parser.NTriples", "RDF.NQuads.Serialize" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_subject_iri_round_trip", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1072, "unconditional": false, "shipping_functions_named": [ "is_iri_body_char", "nq_subject_to_string", "parse_subject" ], "shipping_modules": [ "Parser.NTriples", "RDF.NQuads.Serialize" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_scan_iri_end_bracket_witness", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1096, "unconditional": false, "shipping_functions_named": [ "is_iri_body_char", "scan_iri_end" ], "shipping_modules": [ "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_iri_bracket_shift_prereqs", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1126, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length", "is_iri_body_char", "parse_iri_raw", "scan_iri_end" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_pws_one_space", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1177, "unconditional": false, "shipping_functions_named": [ "fs_byte_index", "fs_byte_length", "is_nt_ws", "pws" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_build_string_utf8_bytes_general", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1266, "unconditional": true, "shipping_functions_named": [ "utf8_bytes", "utf8_enc_char" ], "shipping_modules": [ "Parser.FastString.Spec" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_build_string_byte_length_general", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1279, "unconditional": true, "shipping_functions_named": [ "fs_byte_length", "utf8_enc_char" ], "shipping_modules": [ "Parser.FastString", "Parser.FastString.Spec" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_utf8_enc_char_iri_safe", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1292, "unconditional": false, "shipping_functions_named": [ "is_iri_body_char", "is_iri_forbidden_codepoint", "utf8_enc_char" ], "shipping_modules": [ "Parser.FastString.Spec", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "nth_byte_index_iri", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1304, "unconditional": true, "shipping_functions_named": [ "nth_byte" ], "shipping_modules": [ "Parser.FastString.Spec" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_scan_iri_end_one_char_walk", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1315, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "is_iri_body_char", "scan_iri_end" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_scan_iri_end_build_string_utf8", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1359, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "is_iri_body_char", "scan_iri_end" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_list_of_build_string_general", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1401, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_string_is_build_string_general", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1408, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_parse_iri_raw_build_string_utf8", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1420, "unconditional": true, "shipping_functions_named": [ "fs_byte_length", "is_iri_body_char", "parse_iri_raw" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_iri_build_string_utf8", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1450, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "is_iri_body_char", "parse_iri" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_term_iri_round_trip_build_string_utf8", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1464, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "is_iri_body_char", "nq_term_to_string", "parse_object" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples", "RDF.NQuads.Serialize" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_term_iri_round_trip_utf8", "host_module": "RDF.NTriples.RoundTrip", "file": "formal/fstar/RDF.NTriples.RoundTrip.fst", "line": 1493, "unconditional": false, "shipping_functions_named": [ "fs_byte_length", "is_iri_body_char", "nq_term_to_string", "parse_object" ], "shipping_modules": [ "Parser.FastString", "Parser.NTriples", "RDF.NQuads.Serialize" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_trivial_rdf_conditions", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 110, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rdf_conditions" ], "declarative_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_trivial_rdfs_conditions", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 113, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rdfs_conditions" ], "declarative_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_trivial_owl_rl_pilot_conditions", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 116, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "owl_rl_pilot_conditions" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_rdf_conditions_satisfiable", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 119, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rdf_conditions" ], "declarative_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_rdfs_conditions_satisfiable", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 123, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rdfs_conditions" ], "declarative_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_owl_rl_pilot_conditions_satisfiable", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 127, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "owl_rl_pilot_conditions" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_memP_obj_is_iri", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 200, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sep_denot_iri", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 212, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sep_holds_of_iri_object", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 219, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "triple_holds" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sep_rdf_axioms", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 224, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rdf_axiomatic", "triple_holds" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDF.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDF.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sep_rdfs_axioms", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 236, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rdfs_axiomatic", "triple_holds" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_separating_rdf_conditions", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 254, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rdf_conditions" ], "declarative_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_separating_rdfs_conditions", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 261, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rdfs_conditions" ], "declarative_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_separating_rejects", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 275, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "satisfies" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_everything_satisfies_empty", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 283, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "satisfies" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_rdfs_conditions_nontrivially_satisfiable", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 291, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rdfs_conditions", "satisfies" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.ModelTheory" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.ModelTheory" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_rdf_conditions_nontrivially_satisfiable", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 298, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rdf_conditions", "satisfies" ], "declarative_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.ModelTheory" ], "independent_formalisation_modules": [ "OWL.Semantics", "RDF.Entailment.RDFS.ModelTheory" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_rdfs_entails_not_everything", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 311, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rdfs_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_rdf_entails_not_everything", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 318, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "rdf_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "independent_formalisation_modules": [ "RDF.Entailment.RDFS.ModelTheory" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_owl_separating_conditions", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 352, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "owl_rl_pilot_conditions" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_owl_separating_rejects", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 355, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "satisfies" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_owl_rl_pilot_conditions_nontrivially_satisfiable", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 365, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "owl_rl_pilot_conditions", "satisfies" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_pilot_entails_not_everything", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 372, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "pilot_entails" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_graph_exact_witness", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 398, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_exact", "lit_exact", "triple_exact" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [ "term_exact" ], "class": "local_refinement" }, { "name": "theorem_graph_exact_not_universal", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 417, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_exact" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_binding_exact_witness", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 436, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "binding_exact" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Refinement" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_leq_hypotheses_satisfiable", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 440, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "leq_exact_identity", "leq_reflexive" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Refinement" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_bnd_total_satisfiable", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 450, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "bnd_total" ], "declarative_modules": [ "RDF.Entailment.Simple.Refinement" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Refinement" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_smap_exact_witness", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 467, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "ptrm_exact", "seq_exact", "smap_exact" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_ig_wf_pred_witness", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 504, "unconditional": true, "shipping_functions_named": [ "bucket_lookup" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "ig_wf_pred" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_ig_wf_sp_not_universal", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 530, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_ig_wf_sp_satisfiable_degenerately", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 570, "unconditional": true, "shipping_functions_named": [ "bucket_lookup", "sp_key" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_sp_key_not_injective", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 586, "unconditional": true, "shipping_functions_named": [ "sp_key" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_ig_wf_sp_of_empty", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 644, "unconditional": true, "shipping_functions_named": [ "build_indexed" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_closure_chain_wf_n0_of_empty", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 648, "unconditional": true, "shipping_functions_named": [ "build_indexed" ], "shipping_modules": [ "RDF.Indexed" ], "declarative_relations_named": [ "ig_wf_sp" ], "declarative_modules": [ "OWL.Semantics" ], "independent_formalisation_modules": [ "OWL.Semantics" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_closure_step_of_empty_is_nonempty", "host_module": "RDF.Semantics.HypothesisWitness", "file": "formal/fstar/RDF.Semantics.HypothesisWitness.fst", "line": 654, "unconditional": true, "shipping_functions_named": [ "rdfs_closure_step" ], "shipping_modules": [ "RDFS.Closure" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_u8_roundtrip", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 124, "unconditional": true, "shipping_functions_named": [ "parse_u8", "write_u8" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_lstring_roundtrip", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 161, "unconditional": false, "shipping_functions_named": [ "field_byte_len", "parse_lstring", "serialize_lstring" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_term_ok_tripleterm", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 434, "unconditional": true, "shipping_functions_named": [ "term_ok" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_lstring_length", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 467, "unconditional": true, "shipping_functions_named": [ "field_byte_len", "max_field_chars", "serialize_lstring" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_term_length", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 474, "unconditional": true, "shipping_functions_named": [ "max_field_chars", "serialize_term", "term_ok" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_term_roundtrip", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 520, "unconditional": false, "shipping_functions_named": [ "parse_term", "serialize_term", "term_ok" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_subject_roundtrip", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 563, "unconditional": false, "shipping_functions_named": [ "parse_subject", "serialize_subject", "subject_ok" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_triple_roundtrip", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 575, "unconditional": false, "shipping_functions_named": [ "parse_triple", "serialize_triple", "triple_ok" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_graph_opt_roundtrip", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 589, "unconditional": false, "shipping_functions_named": [ "graph_opt_ok", "parse_graph_opt", "serialize_graph_opt" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_delta_entry_payload_roundtrip", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 601, "unconditional": false, "shipping_functions_named": [ "delta_entry_ok", "parse_delta_entry_payload", "serialize_delta_entry_payload" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_subject_length_bound", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 655, "unconditional": true, "shipping_functions_named": [ "max_field_chars", "serialize_subject", "subject_ok" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_graph_opt_length_bound", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 665, "unconditional": true, "shipping_functions_named": [ "graph_opt_ok", "max_field_chars", "serialize_graph_opt" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_triple_length_bound", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 674, "unconditional": true, "shipping_functions_named": [ "max_field_chars", "serialize_triple", "triple_ok" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_delta_entry_payload_length", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 687, "unconditional": true, "shipping_functions_named": [ "delta_entry_ok", "serialize_delta_entry_payload" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_delta_entry_frame_ok", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 732, "unconditional": true, "shipping_functions_named": [ "delta_entry_frame_ok", "delta_entry_ok" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_delta_entry_roundtrip", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 742, "unconditional": false, "shipping_functions_named": [ "delta_entry_ok", "parse_delta_entry", "serialize_delta_entry" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_ops_roundtrip", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 921, "unconditional": false, "shipping_functions_named": [ "delta_batch_ops_ok", "parse_n_delta_entries", "serialize_ops" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_write_u64_le_length", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 939, "unconditional": true, "shipping_functions_named": [ "write_u64_le" ], "shipping_modules": [ "RDF.Bytes" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_batch_body_length", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 945, "unconditional": true, "shipping_functions_named": [ "delta_batch_ok", "serialize_delta_batch_body", "serialize_ops" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_delta_batch_frame_ok", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 957, "unconditional": true, "shipping_functions_named": [ "delta_batch_ok", "serialize_delta_batch_body" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_delta_batch_body_roundtrip", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 961, "unconditional": false, "shipping_functions_named": [ "delta_batch_ok", "parse_delta_batch_body", "serialize_delta_batch_body" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_delta_batch_roundtrip", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 978, "unconditional": false, "shipping_functions_named": [ "delta_batch_ok", "parse_delta_batch", "serialize_delta_batch" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_log_header_roundtrip", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 1042, "unconditional": true, "shipping_functions_named": [ "parse_log_header", "serialize_log_header" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_u32_le_length", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 1060, "unconditional": true, "shipping_functions_named": [ "parse_u32_le" ], "shipping_modules": [ "RDF.Bytes" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_parse_n_bytes_length", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 1068, "unconditional": true, "shipping_functions_named": [ "parse_n_bytes" ], "shipping_modules": [ "RDF.Bytes" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_parse_delta_batch_shrinks", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 1079, "unconditional": true, "shipping_functions_named": [ "parse_delta_batch" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_parse_log_batches_roundtrip", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 1142, "unconditional": false, "shipping_functions_named": [ "delta_batches_ok", "parse_log_batches", "serialize_delta_batches" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_log_roundtrip", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 1154, "unconditional": false, "shipping_functions_named": [ "delta_batches_ok", "parse_log", "serialize_log" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_compacted_epoch_roundtrip", "host_module": "RDF.Store.Columnar.DeltaLog", "file": "formal/fstar/RDF.Store.Columnar.DeltaLog.fst", "line": 1292, "unconditional": true, "shipping_functions_named": [ "parse_compacted_epoch", "serialize_compacted_epoch" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaLog" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_subject_eq_symm", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 277, "unconditional": true, "shipping_functions_named": [ "subject_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_subject_eq_trans", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 283, "unconditional": false, "shipping_functions_named": [ "subject_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_subject_eq_congruent", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 290, "unconditional": false, "shipping_functions_named": [ "subject_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_lang_tag_eq_symm", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 297, "unconditional": true, "shipping_functions_named": [ "lang_tag_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_lang_tag_eq_trans", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 299, "unconditional": false, "shipping_functions_named": [ "lang_tag_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_lang_tag_option_eq_symm", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 302, "unconditional": true, "shipping_functions_named": [ "lang_tag_option_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_lang_tag_option_eq_trans", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 309, "unconditional": false, "shipping_functions_named": [ "lang_tag_option_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_literal_eq_symm", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 316, "unconditional": true, "shipping_functions_named": [ "literal_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_literal_eq_trans", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 319, "unconditional": false, "shipping_functions_named": [ "literal_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdf_term_eq_symm", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 323, "unconditional": true, "shipping_functions_named": [ "rdf_term_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdf_term_eq_trans", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 337, "unconditional": false, "shipping_functions_named": [ "rdf_term_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdf_term_eq_congruent", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 351, "unconditional": false, "shipping_functions_named": [ "rdf_term_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_bound_matches_congruent", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 367, "unconditional": false, "shipping_functions_named": [ "bound_matches" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaMerge" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_mem_matches_bound_acc", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 384, "unconditional": true, "shipping_functions_named": [ "bound_matches", "triple_matches_bound_acc" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaMerge", "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_mem_triple_rev_acc", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 419, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_mem_triple_rev", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 426, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_mem_triple_matches_bound", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 432, "unconditional": true, "shipping_functions_named": [ "bound_matches", "triple_matches_bound" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaMerge", "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_mem_triple_append", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 437, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_triple_eq_congruent", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 447, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_mem_triple_congruent", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 455, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_mem_triple_filter_tombstone", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 468, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_mem_filter_tombstoned", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 484, "unconditional": true, "shipping_functions_named": [ "filter_tombstoned" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaMerge" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_triple_eq_symm", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 492, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_mem_graph_add", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 498, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_mem_graph_remove", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 512, "unconditional": true, "shipping_functions_named": [ "graph_remove" ], "shipping_modules": [ "RDF.Graph.Executable" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_state_agrees_init", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 539, "unconditional": true, "shipping_functions_named": [ "delta_resolved_empty" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaMerge" ], "declarative_relations_named": [ "state_agrees" ], "declarative_modules": [ "RDF.Store.Columnar.DeltaMerge" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_state_agrees_elim", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 547, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "state_agrees" ], "declarative_modules": [ "RDF.Store.Columnar.DeltaMerge" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_state_agrees_step", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 565, "unconditional": false, "shipping_functions_named": [ "apply_entry_ref_step", "apply_entry_to_delta" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaMerge" ], "declarative_relations_named": [ "state_agrees" ], "declarative_modules": [ "RDF.Store.Columnar.DeltaMerge" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_apply_entries_state_agrees", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 601, "unconditional": false, "shipping_functions_named": [ "apply_entries_ref", "fold_entries_for_graph" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaMerge" ], "declarative_relations_named": [ "state_agrees" ], "declarative_modules": [ "RDF.Store.Columnar.DeltaMerge" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_merge_on_read_matches_apply_entries", "host_module": "RDF.Store.Columnar.DeltaMerge", "file": "formal/fstar/RDF.Store.Columnar.DeltaMerge.fst", "line": 630, "unconditional": true, "shipping_functions_named": [ "apply_entries_ref", "delta_resolved_empty", "fold_entries_for_graph", "merge_on_read", "triple_matches_bound" ], "shipping_modules": [ "RDF.Store.Columnar.DeltaMerge", "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "row_positions_for_count_sound", "host_module": "RDF.Store.Columnar.OffsetIndex", "file": "formal/fstar/RDF.Store.Columnar.OffsetIndex.fst", "line": 374, "unconditional": false, "shipping_functions_named": [ "row_positions_for" ], "shipping_modules": [ "RDF.Store.Columnar.OffsetIndex" ], "declarative_relations_named": [ "offsets_built_correctly" ], "declarative_modules": [ "RDF.Store.Columnar.OffsetIndex" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "row_positions_for_opt_noinfo_when_handle_absent", "host_module": "RDF.Store.Columnar.OffsetIndex", "file": "formal/fstar/RDF.Store.Columnar.OffsetIndex.fst", "line": 398, "unconditional": true, "shipping_functions_named": [ "row_positions_for_opt" ], "shipping_modules": [ "RDF.Store.Columnar.OffsetIndex" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "row_positions_for_opt_noinfo_when_pred_unbound", "host_module": "RDF.Store.Columnar.OffsetIndex", "file": "formal/fstar/RDF.Store.Columnar.OffsetIndex.fst", "line": 404, "unconditional": true, "shipping_functions_named": [ "row_positions_for_opt" ], "shipping_modules": [ "RDF.Store.Columnar.OffsetIndex" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "range_for_subject_count_sound", "host_module": "RDF.Store.Columnar.SubjectOffsetIndex", "file": "formal/fstar/RDF.Store.Columnar.SubjectOffsetIndex.fst", "line": 230, "unconditional": false, "shipping_functions_named": [ "range_for_subject", "subject_range_count" ], "shipping_modules": [ "RDF.Store.Columnar.SubjectOffsetIndex" ], "declarative_relations_named": [ "subject_offsets_built_correctly" ], "declarative_modules": [ "RDF.Store.Columnar.SubjectOffsetIndex" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "range_for_subject_opt_noinfo_when_handle_absent", "host_module": "RDF.Store.Columnar.SubjectOffsetIndex", "file": "formal/fstar/RDF.Store.Columnar.SubjectOffsetIndex.fst", "line": 250, "unconditional": true, "shipping_functions_named": [ "range_for_subject_opt" ], "shipping_modules": [ "RDF.Store.Columnar.SubjectOffsetIndex" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "range_for_subject_opt_noinfo_when_subject_unbound", "host_module": "RDF.Store.Columnar.SubjectOffsetIndex", "file": "formal/fstar/RDF.Store.Columnar.SubjectOffsetIndex.fst", "line": 256, "unconditional": true, "shipping_functions_named": [ "range_for_subject_opt" ], "shipping_modules": [ "RDF.Store.Columnar.SubjectOffsetIndex" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_literal_term_eq_refl", "host_module": "RDF.Term", "file": "formal/fstar/RDF.Term.fsti", "line": 478, "unconditional": true, "shipping_functions_named": [ "literal_term_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_literal_term_eq_identity", "host_module": "RDF.Term", "file": "formal/fstar/RDF.Term.fsti", "line": 482, "unconditional": false, "shipping_functions_named": [ "literal_term_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_join_canon_term_eq", "host_module": "RDF.Term", "file": "formal/fstar/RDF.Term.fsti", "line": 535, "unconditional": false, "shipping_functions_named": [ "join_canon_term", "rdf_term_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_subject_eq_refl", "host_module": "RDF.Term", "file": "formal/fstar/RDF.Term.fsti", "line": 558, "unconditional": true, "shipping_functions_named": [ "subject_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_literal_eq_refl", "host_module": "RDF.Term", "file": "formal/fstar/RDF.Term.fsti", "line": 564, "unconditional": true, "shipping_functions_named": [ "literal_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdf_term_eq_refl", "host_module": "RDF.Term", "file": "formal/fstar/RDF.Term.fsti", "line": 568, "unconditional": true, "shipping_functions_named": [ "rdf_term_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_triple_eq_refl", "host_module": "RDF.Triple", "file": "formal/fstar/RDF.Triple.fsti", "line": 38, "unconditional": true, "shipping_functions_named": [ "triple_eq" ], "shipping_modules": [ "RDF.Triple" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_ts_abbreviate_iri_pname_safe", "host_module": "RDF.Turtle.Serialize", "file": "formal/fstar/RDF.Turtle.Serialize.fst", "line": 142, "unconditional": true, "shipping_functions_named": [ "ts_abbreviate_iri" ], "shipping_modules": [ "RDF.Turtle.Serialize" ], "declarative_relations_named": [ "compacts_to_pname_safe" ], "declarative_modules": [ 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"is_expired" ], "shipping_modules": [ "SPARQL.Eval.TimeBudget" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "enabled_expires_at_deadline", "host_module": "SPARQL.Eval.TimeBudget", "file": "formal/fstar/SPARQL.Eval.TimeBudget.fst", "line": 91, "unconditional": false, "shipping_functions_named": [ "is_disabled", "is_expired" ], "shipping_modules": [ "SPARQL.Eval.TimeBudget" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "choose_access_path_no_handle_is_full_scan", "host_module": "SPARQL.Plan.AccessPath", "file": "formal/fstar/SPARQL.Plan.AccessPath.fst", "line": 200, "unconditional": true, "shipping_functions_named": [ "choose_access_path" ], "shipping_modules": [ "SPARQL.Plan.AccessPath" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "choose_access_path_unbound_pred_is_full_scan", "host_module": "SPARQL.Plan.AccessPath", "file": "formal/fstar/SPARQL.Plan.AccessPath.fst", "line": 209, "unconditional": true, "shipping_functions_named": [ "choose_access_path" ], "shipping_modules": [ "SPARQL.Plan.AccessPath" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "choose_access_path_for_pattern_unbound_pred_is_full_scan", "host_module": "SPARQL.Plan.AccessPath", "file": "formal/fstar/SPARQL.Plan.AccessPath.fst", "line": 219, "unconditional": false, "shipping_functions_named": [ "choose_access_path_for_pattern" ], "shipping_modules": [ "SPARQL.Plan.AccessPath" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "drop_skips_identity_when_no_skips", "host_module": "SPARQL.Plan.AccessPath", "file": "formal/fstar/SPARQL.Plan.AccessPath.fst", "line": 233, "unconditional": false, "shipping_functions_named": [ "drop_skips" ], "shipping_modules": [ "SPARQL.Plan.AccessPath" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "rg_can_match_all_unbound_is_true", "host_module": "SPARQL.Plan.Pruning", "file": "formal/fstar/SPARQL.Plan.Pruning.fst", "line": 243, "unconditional": true, "shipping_functions_named": [ "rg_can_match" ], "shipping_modules": [ "SPARQL.Plan.Pruning" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_json_val_of_term_roundtrip", "host_module": "SPARQL.Protocol.RoundTrip", "file": "formal/fstar/SPARQL.Protocol.RoundTrip.fst", "line": 325, "unconditional": true, "shipping_functions_named": [ "parse_binding_value" ], "shipping_modules": [ "Parser.JSONResults" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_json_val_of_row_roundtrip", "host_module": "SPARQL.Protocol.RoundTrip", "file": "formal/fstar/SPARQL.Protocol.RoundTrip.fst", "line": 366, "unconditional": true, "shipping_functions_named": [ "parse_binding_row" ], "shipping_modules": [ "Parser.JSONResults" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_json_val_of_vars_roundtrip", "host_module": "SPARQL.Protocol.RoundTrip", "file": "formal/fstar/SPARQL.Protocol.RoundTrip.fst", "line": 384, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_json_val_of_rows_roundtrip", "host_module": "SPARQL.Protocol.RoundTrip", "file": "formal/fstar/SPARQL.Protocol.RoundTrip.fst", "line": 400, "unconditional": true, "shipping_functions_named": [ "parse_binding_row" ], "shipping_modules": [ "Parser.JSONResults" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_json_val_of_response_roundtrip", "host_module": "SPARQL.Protocol.RoundTrip", "file": "formal/fstar/SPARQL.Protocol.RoundTrip.fst", "line": 420, "unconditional": true, "shipping_functions_named": [ "json_get_array", "json_get_field", "json_get_string_array", "parse_binding_row" ], "shipping_modules": [ "Parser.JSON", "Parser.JSONResults" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_json_val_of_bool_roundtrip", "host_module": "SPARQL.Protocol.RoundTrip", "file": "formal/fstar/SPARQL.Protocol.RoundTrip.fst", "line": 455, "unconditional": true, "shipping_functions_named": [ "json_get_bool" ], "shipping_modules": [ "Parser.JSON" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_concat_spec_two", "host_module": "SPARQL.Protocol.RoundTrip", "file": "formal/fstar/SPARQL.Protocol.RoundTrip.fst", "line": 494, "unconditional": true, "shipping_functions_named": [ "concat_spec" ], "shipping_modules": [ "Parser.FastString.ConcatSpec" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_serialise_response_json_empty_literal", "host_module": "SPARQL.Protocol.RoundTrip", "file": "formal/fstar/SPARQL.Protocol.RoundTrip.fst", "line": 539, "unconditional": true, "shipping_functions_named": [ "serialise_response_json" ], "shipping_modules": [ "SPARQL.Protocol" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_serialise_response_json_two_empty_rows_literal", "host_module": "SPARQL.Protocol.RoundTrip", "file": "formal/fstar/SPARQL.Protocol.RoundTrip.fst", "line": 551, "unconditional": true, "shipping_functions_named": [ "serialise_response_json" ], "shipping_modules": [ "SPARQL.Protocol" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_srj_single_row", "host_module": "SPARQL.Protocol.RoundTrip", "file": "formal/fstar/SPARQL.Protocol.RoundTrip.fst", "line": 617, "unconditional": true, "shipping_functions_named": [ "json_row", "json_var_list", "serialise_response_json" ], "shipping_modules": [ "SPARQL.Protocol" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_json_rows_body_acc_is_rev_acc", "host_module": "SPARQL.Protocol.RoundTrip", "file": "formal/fstar/SPARQL.Protocol.RoundTrip.fst", "line": 737, "unconditional": true, "shipping_functions_named": [ "json_rows_body_acc" ], "shipping_modules": [ "SPARQL.Protocol" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_body_pieces_eq", "host_module": "SPARQL.Protocol.RoundTrip", "file": "formal/fstar/SPARQL.Protocol.RoundTrip.fst", "line": 751, "unconditional": true, "shipping_functions_named": [ "json_rows_body_acc" ], "shipping_modules": [ "SPARQL.Protocol" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_concat_chunks", "host_module": "SPARQL.Protocol.RoundTrip", "file": "formal/fstar/SPARQL.Protocol.RoundTrip.fst", "line": 764, "unconditional": true, "shipping_functions_named": [ "concat_spec" ], "shipping_modules": [ "Parser.FastString.ConcatSpec" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_srj_n_rows", "host_module": "SPARQL.Protocol.RoundTrip", "file": "formal/fstar/SPARQL.Protocol.RoundTrip.fst", "line": 809, "unconditional": true, "shipping_functions_named": [ "json_var_list", "serialise_response_json" ], "shipping_modules": [ "SPARQL.Protocol" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_build_indexed_wf_so_weak", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 218, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_memP_tmb_acc", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 238, "unconditional": false, "shipping_functions_named": [ "triple_matches_bound_acc" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_memP_triple_matches_bound", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 252, "unconditional": false, "shipping_functions_named": [ "triple_matches_bound" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_pick_smaller_bucket_sound", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 265, "unconditional": false, "shipping_functions_named": [ "pick_smaller_bucket" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bucket_cand_sound" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_ig_search_sound", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 276, "unconditional": false, "shipping_functions_named": [ "ig_search" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_store_search_sound", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 344, "unconditional": false, "shipping_functions_named": [ "graph_to_store", "store_search" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_build_indexed_selective_wf_pred", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 379, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_build_indexed_selective_wf_subj_weak", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 396, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_build_indexed_selective_wf_obj_weak", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 413, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_build_indexed_selective_wf_sp_weak", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 430, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_build_indexed_selective_wf_po_weak", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 447, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_build_indexed_selective_wf_so_weak", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 464, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_ig_search_sound_selective", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 489, "unconditional": false, "shipping_functions_named": [ "ig_search" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_store_search_sound_for", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 559, "unconditional": false, "shipping_functions_named": [ "graph_to_store_for", "group_graph_pattern", "store_search" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_subject_eq_ident", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 604, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_tmb_acc_complete", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 612, "unconditional": false, "shipping_functions_named": [ "triple_matches_bound_acc" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_triple_matches_bound_complete", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 626, "unconditional": false, "shipping_functions_named": [ "triple_matches_bound" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_pick_smaller_bucket_complete", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 640, "unconditional": false, "shipping_functions_named": [ "pick_smaller_bucket" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bucket_cand_complete" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_build_indexed_selective_complete_pred", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 652, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_build_indexed_selective_complete_subj", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 669, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_build_indexed_selective_complete_sp", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 686, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_build_indexed_selective_complete_obj", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 703, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_build_indexed_selective_complete_po", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 720, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_build_indexed_selective_complete_so", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 737, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_ig_search_complete_selective", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 758, "unconditional": false, "shipping_functions_named": [ "ig_search" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bound_obj_exact" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_ig_search_complete", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 838, "unconditional": false, "shipping_functions_named": [ "ig_search" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bound_obj_exact" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_store_search_complete", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 843, "unconditional": false, "shipping_functions_named": [ "graph_to_store", "store_search" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bound_obj_exact" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_store_search_complete_for", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 850, "unconditional": false, "shipping_functions_named": [ "graph_to_store_for", "group_graph_pattern", "store_search" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bound_obj_exact" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_bound_pred_from_obj", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 866, "unconditional": false, "shipping_functions_named": [ "bound_object_of_pattern", "bound_predicate_of_pattern" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "theorem_tp_match_instantiates_ext", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 881, "unconditional": false, "shipping_functions_named": [ "instantiate_tp", "tp_match" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "binding_extends", "ptrm_exact", "smap_exact", "term_exact" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_eval_single_tp_store_default_eq", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 917, "unconditional": false, "shipping_functions_named": [ "eval_single_tp_store", "eval_single_tp_store_default" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_eval_single_tp_sound", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 925, "unconditional": false, "shipping_functions_named": [ "eval_single_tp_store_default", "graph_to_store", "tp_match" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_choose_best_tp_cover", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 953, "unconditional": true, "shipping_functions_named": [ "choose_best_tp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_memP_concatMap_tr", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 982, "unconditional": false, "shipping_functions_named": [ "concatMap_tr" ], "shipping_modules": [ "RDF.List.Helpers" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_eval_bgp_store_unfold", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1018, "unconditional": true, "shipping_functions_named": [ "choose_best_tp", "concatMap_tr", "eval_bgp_store_from_mu_fuel", "eval_single_tp_store" ], "shipping_modules": [ "RDF.List.Helpers", "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_eval_bgp_store_step", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1042, "unconditional": false, "shipping_functions_named": [ "choose_best_tp", "eval_bgp_store_from_mu_fuel", "eval_single_tp_store" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "theorem_eval_bgp_sound_fuel", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1069, "unconditional": false, "shipping_functions_named": [ "eval_bgp_store_from_mu_fuel", "graph_to_store" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "bgp_subgraph_clause", "binding_extends", "graph_frag", "smap_exact" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement", "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_eval_bgp_subgraph", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1134, "unconditional": false, "shipping_functions_named": [ "eval_bgp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "bgp_subgraph_clause", "graph_frag" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_instantiate_bgp_subset", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1144, "unconditional": false, "shipping_functions_named": [ "instantiate_bgp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_subgraph_clause" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_bgp_sol_spec_from_subgraph_clause", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1168, "unconditional": false, "shipping_functions_named": [ "instantiate_tp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_sol_spec", "bgp_subgraph_clause" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement", "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_eval_bgp_instantiates_into_graph", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1180, "unconditional": false, "shipping_functions_named": [ "eval_bgp", "instantiate_bgp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "graph_frag" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_graph_to_store_sound", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1217, "unconditional": true, "shipping_functions_named": [ "graph_to_store" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "store_search_sound" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_graph_to_store_for_sound", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1227, "unconditional": true, "shipping_functions_named": [ "graph_to_store_for", "group_graph_pattern" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "store_search_sound" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_eval_single_tp_sound_at", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1239, "unconditional": false, "shipping_functions_named": [ "eval_single_tp_store_default", "tp_match" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "store_search_sound" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_eval_bgp_store_sound_fuel", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1264, "unconditional": false, "shipping_functions_named": [ "eval_bgp_store_from_mu_fuel" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "bgp_subgraph_clause", "binding_extends", "graph_frag", "smap_exact", "store_search_sound" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement", "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_eval_bgp_store_subgraph", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1328, "unconditional": false, "shipping_functions_named": [ "eval_bgp_store" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "bgp_subgraph_clause", "graph_frag", "store_search_sound" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_eval_bgp_store_instantiates_into_graph", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1334, "unconditional": false, "shipping_functions_named": [ "eval_bgp_store", "instantiate_bgp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "graph_frag", "store_search_sound" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_eval_bgp_store_for_instantiates_into_graph", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1350, "unconditional": false, "shipping_functions_named": [ "eval_bgp_store", "graph_to_store_for", "group_graph_pattern", "instantiate_bgp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "graph_frag" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_term_exact_subject", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1373, "unconditional": true, "shipping_functions_named": [ "subject_to_term" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "term_exact" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_term_exact_iri", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1383, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "term_exact" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_term_exact_bnode", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1386, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "term_exact" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_bound_subject_mono", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1395, "unconditional": false, "shipping_functions_named": [ "bound_subject_of_pattern" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "binding_extends" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_bound_predicate_mono", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1415, "unconditional": false, "shipping_functions_named": [ "bound_predicate_of_pattern" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "binding_extends" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_bound_object_mono", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1431, "unconditional": false, "shipping_functions_named": [ "bound_object_of_pattern" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "binding_extends" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_bound_obj_from_pred", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1452, "unconditional": false, "shipping_functions_named": [ "bound_object_of_pattern", "bound_predicate_of_pattern" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_bound_object_exact", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1462, "unconditional": false, "shipping_functions_named": [ "bound_object_of_pattern" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "ptrm_exact", "smap_exact", "term_exact" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_sm_bind_sval", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1477, "unconditional": true, "shipping_functions_named": [ "sm_bind" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sm_bind_extends", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1481, "unconditional": false, "shipping_functions_named": [ "sm_bind" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "binding_extends" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_sm_bind_under", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1486, "unconditional": false, "shipping_functions_named": [ "sm_bind" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "binding_extends" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_try_bind_subject_complete", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1497, "unconditional": false, "shipping_functions_named": [ "bound_subject_of_pattern", "try_bind_subject" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "binding_extends", "smap_exact" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_try_bind_term_complete", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1529, "unconditional": false, "shipping_functions_named": [ "bound_object_of_pattern", "try_bind_term" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "binding_extends", "smap_exact", "term_exact" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_tp_match_complete", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1558, "unconditional": false, "shipping_functions_named": [ "instantiate_tp", "tp_match" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "binding_extends", "smap_exact", "term_exact" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_bound_holds_of_instantiate", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1598, "unconditional": false, "shipping_functions_named": [ "instantiate_tp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "binding_extends" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_tp_bound_obj_exact", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1613, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "bound_obj_exact", "ptrm_exact", "smap_exact" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement", "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_graph_to_store_complete", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1630, "unconditional": true, "shipping_functions_named": [ "graph_to_store" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "store_search_complete" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_graph_to_store_for_complete", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1639, "unconditional": true, "shipping_functions_named": [ "graph_to_store_for", "group_graph_pattern" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "store_search_complete" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_eval_single_tp_complete_at", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1660, "unconditional": false, "shipping_functions_named": [ "instantiate_tp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "binding_extends", "graph_frag", "single_tp_goal", "smap_exact", "store_search_complete", "tp_frag" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement", "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_memP_concatMap_tr_intro", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1685, "unconditional": false, "shipping_functions_named": [ "concatMap_tr" ], "shipping_modules": [ "RDF.List.Helpers" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_eval_bgp_store_step_intro", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1695, "unconditional": false, "shipping_functions_named": [ "choose_best_tp", "eval_bgp_store_from_mu_fuel", "eval_single_tp_store" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "theorem_eval_bgp_store_complete_fuel", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1731, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "bgp_complete_goal", "bgp_frag", "bgp_subgraph_clause", "binding_extends", "graph_frag", "smap_exact", "store_search_complete" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement", "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_eval_bgp_store_complete", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1796, "unconditional": false, "shipping_functions_named": [ "eval_bgp_store" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "bgp_subgraph_clause", "binding_extends", "graph_frag", "smap_exact", "store_search_complete" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement", "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_eval_bgp_complete", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1804, "unconditional": false, "shipping_functions_named": [ "eval_bgp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "bgp_subgraph_clause", "binding_extends", "graph_frag", "smap_exact" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement", "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_instantiate_tp_mono", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1830, "unconditional": false, "shipping_functions_named": [ "instantiate_tp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "binding_extends" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_instantiate_bgp_agree", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1839, "unconditional": false, "shipping_functions_named": [ "instantiate_bgp", "instantiate_tp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "binding_extends" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Refinement" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_subgraph_clause_of_instantiated", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1858, "unconditional": false, "shipping_functions_named": [ "instantiate_bgp", "instantiate_tp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_subgraph_clause" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_eval_bgp_store_complete_answer", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1883, "unconditional": false, "shipping_functions_named": [ "eval_bgp_store", "instantiate_bgp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "bgp_subgraph_clause", "graph_frag", "store_search_complete", "store_search_sound" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_eval_bgp_store_complete_from_subset", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1908, "unconditional": false, "shipping_functions_named": [ "eval_bgp_store", "instantiate_bgp", "instantiate_tp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "graph_frag", "store_search_complete", "store_search_sound" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_eval_bgp_complete_from_subset", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1924, "unconditional": false, "shipping_functions_named": [ "eval_bgp", "instantiate_bgp", "instantiate_tp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "graph_frag" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_eval_bgp_store_for_complete_from_subset", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 1942, "unconditional": false, "shipping_functions_named": [ "eval_bgp_store", "graph_to_store_for", "group_graph_pattern", "instantiate_bgp", "instantiate_tp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "graph_frag" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_try_bind_subject_domain", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 2006, "unconditional": false, "shipping_functions_named": [ "pattern_subject_var", "try_bind_subject" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_try_bind_term_domain", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 2034, "unconditional": false, "shipping_functions_named": [ "pattern_term_var", "try_bind_term" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_tp_match_domain", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 2061, "unconditional": false, "shipping_functions_named": [ "tp_match", "tp_vars" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_eval_single_tp_store_domain", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 2088, "unconditional": false, "shipping_functions_named": [ "eval_single_tp_store", "tp_vars" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "tp_frag" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_bgp_vars_cover", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 2116, "unconditional": false, "shipping_functions_named": [ "tp_vars" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_eval_bgp_store_domain_fuel", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 2157, "unconditional": false, "shipping_functions_named": [ "eval_bgp_store_from_mu_fuel" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_dom_grow_clause", "bgp_frag" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_eval_bgp_domain", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 2195, "unconditional": false, "shipping_functions_named": [ "eval_bgp", "sm_empty" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_dom_grow_clause", "bgp_frag" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_eval_bgp_dom_clause", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 2210, "unconditional": false, "shipping_functions_named": [ "eval_bgp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_dom_clause", "bgp_frag" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_eval_bgp_full_spec", "host_module": "SPARQL11.Algebra.BGPRefinement", "file": "formal/fstar/SPARQL11.Algebra.BGPRefinement.fst", "line": 2223, "unconditional": false, "shipping_functions_named": [ "eval_bgp", "instantiate_tp", "tp_vars" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "bgp_sol_spec", "graph_frag" ], "declarative_modules": [ "SPARQL11.Algebra.BGPRefinement", "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_assoc_some_mem", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 200, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sm_compatible_sound", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 215, "unconditional": false, "shipping_functions_named": [ "sm_compatible" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "smap_exact" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_sm_compatible_sound", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 226, "unconditional": false, "shipping_functions_named": [ "sm_compatible" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "compatible_spec", "smap_exact" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement", "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_sm_compatible_complete", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 244, "unconditional": false, "shipping_functions_named": [ "sm_compatible" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "compatible_spec" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_sm_merge_is_merge", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 280, "unconditional": true, "shipping_functions_named": [ "sm_merge" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "is_merge" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_domains_disjoint_sound", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 287, "unconditional": false, "shipping_functions_named": [ "domains_disjoint" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "dom_disjoint_spec" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_domains_disjoint_complete", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 301, "unconditional": false, "shipping_functions_named": [ "domains_disjoint" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "dom_disjoint_spec" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_mult_append", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 318, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_memP_append", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 326, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_union_is_append", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 339, "unconditional": true, "shipping_functions_named": [ "union" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_union_card", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 346, "unconditional": true, "shipping_functions_named": [ "union" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "union_card_spec" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_union_sound", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 353, "unconditional": false, "shipping_functions_named": [ "union" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "in_union_spec" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_union_complete", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 359, "unconditional": false, "shipping_functions_named": [ "union" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_filter_sound", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 374, "unconditional": false, "shipping_functions_named": [ "eval_expr_ebv", "filter_solutions" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "theorem_filter_complete", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 386, "unconditional": false, "shipping_functions_named": [ "eval_expr_ebv", "filter_solutions" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "theorem_filter_card", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 407, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "fexpr_congr", "filter_card_spec" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement", "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_assoc_tr_congr", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 479, "unconditional": false, "shipping_functions_named": [ "assoc_tr" ], "shipping_modules": [ "RDF.List.Helpers" ], "declarative_relations_named": [ "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_sm_lookup_congr", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 485, "unconditional": false, "shipping_functions_named": [ "sm_lookup" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_fx_ctx_get_congr", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 490, "unconditional": false, "shipping_functions_named": [ "fx_ctx_get" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_eval_expr_congr", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 507, "unconditional": false, "shipping_functions_named": [ "eval_expr_with_base" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_eval_coalesce_congr", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 568, "unconditional": false, "shipping_functions_named": [ "eval_coalesce_with_base" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_eval_geof_args_congr", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 578, "unconditional": false, "shipping_functions_named": [ "eval_geof_args_with_base" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_eval_in_congr", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 588, "unconditional": false, "shipping_functions_named": [ "eval_in_with_base" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_eval_concat_congr", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 598, "unconditional": false, "shipping_functions_named": [ "eval_concat_with_base" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_eval_expr_opt_congr", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 609, "unconditional": false, "shipping_functions_named": [ "eval_expr_with_base" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_eval_expr_ebv_transparent_congr", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 627, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_eval_expr_ebv_transparent_congr", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 634, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "fexpr_congr" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_filter_card_eval_expr_with_base", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 644, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "filter_card_spec" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_substitute_existentials_noop", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 667, "unconditional": false, "shipping_functions_named": [ "expr_has_existential", "substitute_existentials" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_substitute_existentials_list_noop", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 715, "unconditional": false, "shipping_functions_named": [ "expr_list_has_existential", "substitute_existentials_list" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_substitute_existentials_opt_noop", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 727, "unconditional": false, "shipping_functions_named": [ "expr_opt_has_existential", "substitute_existentials_opt" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "theorem_filter_with_graph_is_filter_solutions", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 740, "unconditional": false, "shipping_functions_named": [ "expr_has_existential", "filter_solutions", "filter_solutions_with_graph" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_dedup_acc_sound", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 759, "unconditional": true, "shipping_functions_named": [ "list_deduplicate_sm_acc" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_distinct_sound", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 769, "unconditional": false, "shipping_functions_named": [ "distinct_solutions" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sr1_same_mapping", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 785, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sr1_sm_equal_agrees", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 794, "unconditional": true, "shipping_functions_named": [ "sm_equal" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sr1_distinct_dedups", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 798, "unconditional": true, "shipping_functions_named": [ "distinct_solutions" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_sr1_witness_now_card_conformant", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 810, "unconditional": true, "shipping_functions_named": [ "distinct_solutions" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "distinct_card_spec" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_sm_equal_matches_smap_eq_on_witness", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 846, "unconditional": true, "shipping_functions_named": [ "sm_equal" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_memP_filter_map_acc", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 855, "unconditional": true, "shipping_functions_named": [ "list_filter_map_acc" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_memP_filter_map", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 868, "unconditional": true, "shipping_functions_named": [ "list_filter_map" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_memP_concatMap", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 874, "unconditional": true, 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"independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_join_nested_loop_unfold", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 929, "unconditional": true, "shipping_functions_named": [ "join_nested_loop" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_join_nested_loop_sound", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 940, "unconditional": false, "shipping_functions_named": [ "join_nested_loop" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "in_join_spec", "seq_exact" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement", "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_join_nested_loop_complete", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 965, "unconditional": false, "shipping_functions_named": [ "join_nested_loop" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "compatible_spec", "is_merge" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_concatMap_nil_f", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 982, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_join_is_nested_loop_no_shared_vars", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 993, "unconditional": false, "shipping_functions_named": [ "join", "join_nested_loop", "sm_domain", "vars_intersect" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_join_is_nested_loop_empty", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 999, "unconditional": false, "shipping_functions_named": [ "join", "join_nested_loop" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_strcat_left_neq", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1022, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_strcat_right_neq", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1026, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sr2_nq_differs", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1035, "unconditional": false, "shipping_functions_named": [ "nq_term_to_string" ], "shipping_modules": [ "RDF.NQuads.Serialize" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_sr2_witness_keys_now_agree", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1058, "unconditional": false, "shipping_functions_named": [ "rdf_term_eq", "sm_compatible", "sm_join_key" ], "shipping_modules": [ "RDF.Term", "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "theorem_join_key_no_finer_than_compatibility", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1076, "unconditional": false, "shipping_functions_named": [ "rdf_term_eq", "sm_join_key" ], "shipping_modules": [ "RDF.Term", "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_project_lookup", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1085, "unconditional": true, "shipping_functions_named": [ "project" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_project_is_proj", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1095, "unconditional": true, "shipping_functions_named": [ "project" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "is_proj" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_project_solutions_acc_memP", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1099, "unconditional": true, "shipping_functions_named": [ "project", "project_solutions_acc" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_project_solutions_acc_length", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1110, "unconditional": true, "shipping_functions_named": [ "project_solutions_acc" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_project_solutions_length", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1121, "unconditional": true, "shipping_functions_named": [ "project_solutions" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_project_solutions_spec", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1128, "unconditional": true, "shipping_functions_named": [ "project", "project_solutions" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "theorem_project_solutions_sound", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1135, "unconditional": false, "shipping_functions_named": [ "project_solutions" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "in_project_spec" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_is_proj_unique", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1160, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "is_proj", "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_is_proj_congr_target", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1168, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "is_proj", "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_project_card", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1177, "unconditional": true, "shipping_functions_named": [ "project_solutions" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "project_card_spec" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_minus_unfold", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1216, "unconditional": true, "shipping_functions_named": [ "minus" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_existsb_memP", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1221, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_memP_filter", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1229, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_not_compatible_of_engine", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1240, "unconditional": false, "shipping_functions_named": [ "sm_compatible" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "compatible_spec" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_minus_sound", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1249, "unconditional": false, "shipping_functions_named": [ "minus" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "in_minus_spec" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_minus_complete", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1266, "unconditional": false, "shipping_functions_named": [ "minus" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "compatible_spec", "dom_disjoint_spec", "smap_exact" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement", "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_filter_map_nil_all_none", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1289, "unconditional": false, "shipping_functions_named": [ "list_filter_map" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_left_join_empty_right", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1338, "unconditional": false, "shipping_functions_named": [ "eval_expr_ebv", "left_join" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "in_leftjoin_spec" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_left_join_empty_left", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1344, "unconditional": true, "shipping_functions_named": [ "left_join" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_fx_bind_rows_length", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1354, "unconditional": true, "shipping_functions_named": [ "fx_bind_rows" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_fx_bind_rows_rowwise", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1382, "unconditional": true, "shipping_functions_named": [ "er_to_term", "eval_expr_fwd", "fx_bind_rows", "fx_ctx_put", "sm_bind" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "theorem_sm_bind_is_extend", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1404, "unconditional": false, "shipping_functions_named": [ "sm_bind" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "is_extend_at" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_binding_extends_refl", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1418, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "binding_extends" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_binding_extends_trans", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1420, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "binding_extends" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_smap_exact_sval", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1456, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "smap_exact", "term_exact" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_try_bind_term_instantiates", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1471, "unconditional": false, "shipping_functions_named": [ "bound_object_of_pattern", "try_bind_term" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "binding_extends", "ptrm_exact", "smap_exact", "term_exact" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_try_bind_subject_instantiates", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1508, "unconditional": false, "shipping_functions_named": [ "bound_subject_of_pattern", "try_bind_subject" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "binding_extends", "smap_exact" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_tp_match_instantiates", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1538, "unconditional": false, "shipping_functions_named": [ "instantiate_tp", "tp_match" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "binding_extends", "ptrm_exact", "smap_exact", "term_exact" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_filter_partition_count", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1614, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sortWith_mult", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1624, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_mult_is_filter_length", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1665, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sort_solutions_permutation_pointwise", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1675, "unconditional": true, "shipping_functions_named": [ "order_condition", "sort_solutions" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "theorem_sort_solutions_permutation", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1682, "unconditional": true, "shipping_functions_named": [ "order_condition", "sort_solutions" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_totality_on_weaken", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1780, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "totality_on" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_partition_bool_memP", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1791, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_partition_bool_memP_forall", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1801, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sorted_by_cons_hi", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1812, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "sorted_by" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sorted_by_append", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1831, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "sorted_by" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sortWith_sorted_by", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1856, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "sorted_by", "totality_on" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_sort_solutions_sorted", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1901, "unconditional": false, "shipping_functions_named": [ "compare_on_conditions", "order_condition", "sort_solutions" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "sorted_by", "totality_on", "transitivity_on" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_sparql_order_iri_totality", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1974, "unconditional": true, "shipping_functions_named": [ "sparql_order" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sparql_order_iri_trans", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 1983, "unconditional": false, "shipping_functions_named": [ "sparql_order" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sparql_order_numeric_frag_totality", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2015, "unconditional": false, "shipping_functions_named": [ "sparql_order" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "er_num_plain" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_sparql_order_numeric_frag_trans", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2050, "unconditional": false, "shipping_functions_named": [ "sparql_order" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "er_num_plain" ], "declarative_modules": [ "SPARQL11.Algebra.Refinement" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_list_drop_length", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2077, "unconditional": true, "shipping_functions_named": [ "list_drop" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_list_take_length", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2086, "unconditional": true, "shipping_functions_named": [ "list_take" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_list_drop_index", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2096, "unconditional": false, "shipping_functions_named": [ "list_drop" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_list_take_index", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2106, "unconditional": false, "shipping_functions_named": [ "list_take" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_slice_solutions_window", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2122, "unconditional": false, "shipping_functions_named": [ "slice_solutions" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_slice_solutions_length", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2144, "unconditional": true, "shipping_functions_named": [ "slice_solutions" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_lang_tag_eq_symm", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2182, "unconditional": true, "shipping_functions_named": [ "lang_tag_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_lang_tag_eq_trans", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2185, "unconditional": false, "shipping_functions_named": [ "lang_tag_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_lang_tag_option_eq_symm", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2188, "unconditional": true, "shipping_functions_named": [ "lang_tag_option_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_lang_tag_option_eq_trans", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2195, "unconditional": false, "shipping_functions_named": [ "lang_tag_option_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_literal_eq_symm", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2203, "unconditional": true, "shipping_functions_named": [ "literal_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_literal_eq_trans", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2206, "unconditional": false, "shipping_functions_named": [ "literal_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_subject_eq_symm", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2210, "unconditional": true, "shipping_functions_named": [ "subject_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_subject_eq_trans", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2216, "unconditional": false, "shipping_functions_named": [ "subject_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdf_term_eq_symm", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2223, "unconditional": true, "shipping_functions_named": [ "rdf_term_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_rdf_term_eq_trans", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2231, "unconditional": false, "shipping_functions_named": [ "rdf_term_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sm_equal_symm", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2250, "unconditional": true, "shipping_functions_named": [ "sm_equal" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sm_submap_extra_binding", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2253, "unconditional": false, "shipping_functions_named": [ "sm_domain", "sm_submap" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_sm_submap_refl", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2261, "unconditional": false, "shipping_functions_named": [ "sm_domain", "sm_submap" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_sm_equal_refl", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2272, "unconditional": false, "shipping_functions_named": [ "sm_domain", "sm_equal" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_sm_submap_lookup", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2277, "unconditional": false, "shipping_functions_named": [ "rdf_term_eq", "sm_lookup", "sm_submap" ], "shipping_modules": [ "RDF.Term", "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_sm_submap_trans", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2287, "unconditional": false, "shipping_functions_named": [ "sm_submap" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sm_equal_trans", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2303, "unconditional": false, "shipping_functions_named": [ "sm_equal" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sm_mem_witness", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2310, "unconditional": false, "shipping_functions_named": [ "sm_equal", "sm_mem" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_dedup_acc_append", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2323, "unconditional": true, "shipping_functions_named": [ "list_deduplicate_sm_acc" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_dedup_core_complete", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2347, "unconditional": false, "shipping_functions_named": [ "list_deduplicate_sm_acc", "sm_domain", "sm_equal" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "theorem_distinct_complete", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2395, "unconditional": false, "shipping_functions_named": [ "distinct_solutions", "sm_domain", "sm_equal" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_dc_witness_rdf_term_eq", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2460, "unconditional": true, "shipping_functions_named": [ "rdf_term_eq" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_dc_witness_term_id_eqb_false", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2464, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_dc_distinct_dedups", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2468, "unconditional": true, "shipping_functions_named": [ "distinct_solutions" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_dc_mult_witness_omega", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2474, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_dc_mult_witness_res", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2479, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_sr3_distinct_card_spec_false", "host_module": "SPARQL11.Algebra.Refinement", "file": "formal/fstar/SPARQL11.Algebra.Refinement.fst", "line": 2491, "unconditional": true, "shipping_functions_named": [ "distinct_solutions" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "distinct_card_spec" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [ "SPARQL11.Algebra.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "lemma_lit_id_eqb_sound", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 311, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_subj_id_eqb_sound", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 314, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_term_id_eqb_sound", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 318, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_term_id_eqb_complete", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 328, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_term_id_eqb_refl", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 335, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_smap_eq_refl", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 347, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_smap_eq_sym", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 349, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_smap_eq_trans", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 352, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sval_none_outside_dom", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 375, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_agrees_on_mem", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 383, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_opt_term_id_eqb_sound", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 391, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_smap_eqb_sound", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 398, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_agrees_on_of_smap_eq", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 418, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_smap_eqb_complete", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 430, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_compatible_empty_l", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 451, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "compatible_spec" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_compatible_empty_r", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 452, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "compatible_spec" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_compatible_of_disjoint", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 458, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "compatible_spec", "dom_disjoint_spec" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_compatible_refl", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 467, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "compatible_spec" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_compatible_sym", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 468, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "compatible_spec" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_compatible_congr_l", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 473, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "compatible_spec", "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_assoc_append", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 498, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_merge_canonical_is_merge", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 506, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "is_merge" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_merge_unique", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 513, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "is_merge", "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_merge_comm_compatible", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 519, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "compatible_spec", "is_merge" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_merge_extends_l", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 530, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "is_merge" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_merge_extends_r", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 534, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "compatible_spec", "is_merge" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_merge_dom", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 542, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "is_merge" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_merge_compatible_l", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 548, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "compatible_spec", "is_merge" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_occurs_memP", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 572, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "occurs" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_join_comm_witness", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 599, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "compatible_spec", "in_join_spec", "is_merge" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_join_comm_spec", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 606, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "in_join_spec" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_mult_congr", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 710, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_mult_pos_implies_occurs", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 726, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "occurs" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_occurs_witness_implies_mult_pos", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 735, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "smap_eq" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_mult_pos_iff_occurs", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 749, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "occurs" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_bgp_empty", "host_module": "SPARQL11.Algebra.Spec", "file": "formal/fstar/SPARQL11.Algebra.Spec.fst", "line": 828, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "bgp_sol_spec" ], "declarative_modules": [ "SPARQL11.Algebra.Spec" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_substitute_pattern_preserves_size", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 4976, "unconditional": true, "shipping_functions_named": [ "group_graph_pattern", "pattern_size", "substitute_pattern" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_lateral_substitute_preserves_size", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 5031, "unconditional": true, "shipping_functions_named": [ "group_graph_pattern", "lateral_substitute", "pattern_size" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_rewrite_query_bnodes_pattern_preserves_size", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 5890, "unconditional": true, "shipping_functions_named": [ "group_graph_pattern", "pattern_size", "rewrite_query_bnodes_pattern" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_union_assoc", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7436, "unconditional": true, "shipping_functions_named": [ "union" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_union_nil_l", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7448, "unconditional": true, "shipping_functions_named": [ "union" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_union_nil_r", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7451, "unconditional": true, "shipping_functions_named": [ "union" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_filter_append", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7459, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_filter_union", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7469, "unconditional": true, "shipping_functions_named": [ "filter_solutions", "union" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_offset_zero", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7479, "unconditional": true, "shipping_functions_named": [ "slice_solutions" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_list_drop_zero", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7483, "unconditional": true, "shipping_functions_named": [ "list_drop" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_list_take_nil", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7487, "unconditional": true, "shipping_functions_named": [ "list_take" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_filter_mem", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7492, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_assoc_none_of_domain", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7526, "unconditional": false, "shipping_functions_named": [ "sm_domain" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sm_compatible_extra_binding", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7536, "unconditional": false, "shipping_functions_named": [ "sm_compatible" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sm_compatible_refl", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7544, "unconditional": false, "shipping_functions_named": [ "sm_compatible", "sm_domain" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_sm_compatible_not_refl_with_dup_keys", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7557, "unconditional": true, "shipping_functions_named": [ "sm_compatible" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sm_merge_empty_r", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7563, "unconditional": true, "shipping_functions_named": [ "sm_merge" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sm_merge_aux_lookup", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7580, "unconditional": true, "shipping_functions_named": [ "sm_merge_aux" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_sm_merge_empty_l", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7593, "unconditional": true, "shipping_functions_named": [ "sm_lookup", "sm_merge" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_sm_merge_empty_l_not_structural_identity", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7604, "unconditional": true, "shipping_functions_named": [ "sm_merge" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_domains_disjoint_empty_l", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7613, "unconditional": true, "shipping_functions_named": [ "domains_disjoint" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_filter_true", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7628, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_join_empty_l", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7635, "unconditional": true, "shipping_functions_named": [ "join" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_concatMap_nil", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7639, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_join_empty_r", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7646, "unconditional": true, "shipping_functions_named": [ "join" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_minus_empty_r", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7664, "unconditional": true, "shipping_functions_named": [ "minus" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_union_length", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7671, "unconditional": true, "shipping_functions_named": [ "union" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_concatMap_all_nil", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7679, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_ig_search_empty", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7690, "unconditional": true, "shipping_functions_named": [ "ig_search" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_store_search_empty", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7698, "unconditional": true, "shipping_functions_named": [ "graph_to_store", "store_search" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_eval_single_tp_empty", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7702, "unconditional": true, "shipping_functions_named": [ "eval_single_tp_store", "graph_to_store" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_eval_bgp_store_empty_fuel", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7716, "unconditional": true, "shipping_functions_named": [ "eval_bgp_store_from_mu_fuel", "graph_to_store" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_bgp_empty_graph", "host_module": "SPARQL11.Algebra", "file": "formal/fstar/SPARQL11.Algebra.fst", "line": 7731, "unconditional": true, "shipping_functions_named": [ "eval_bgp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_ground_implies_tt_free", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 232, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_tt_free" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [ "graph_ground" ], "class": "local_refinement" }, { "name": "lemma_smap_ground_lookup", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 285, "unconditional": false, "shipping_functions_named": [ "sm_lookup" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "smap_ground", "term_ground" ], "declarative_modules": [ "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_bound_subject_ground", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 293, "unconditional": false, "shipping_functions_named": [ "bound_subject_of_pattern" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "smap_ground", "subject_ground" ], "declarative_modules": [ "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_bound_object_ground", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 304, "unconditional": false, "shipping_functions_named": [ "bound_object_of_pattern" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "smap_ground", "term_ground" ], "declarative_modules": [ "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_instantiate_tp_ground", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 320, "unconditional": false, "shipping_functions_named": [ "instantiate_tp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "smap_ground", "tp_ground_positions", "triple_ground" ], "declarative_modules": [ "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_instantiate_bgp_ground", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 340, "unconditional": false, "shipping_functions_named": [ "instantiate_bgp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_ground_positions", "smap_ground" ], "declarative_modules": [ "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [ "graph_ground" ], "class": "internal_refinement" }, { "name": "lemma_subj_inst_id", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 371, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "subj_inst" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_term_inst_id", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 373, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "term_inst" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_triple_inst_id", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 385, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "triple_inst" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_subgraph_implies_spec", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 392, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "is_subgraph", "simple_entailment_spec" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_triple_inst_ground", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 412, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "triple_ground", "triple_inst" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec", "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_spec_ground_implies_subgraph", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 423, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "is_subgraph", "simple_entailment_spec" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [ "graph_ground" ], "class": "local_refinement" }, { "name": "lemma_ground_entailment_collapse", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 439, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "is_subgraph", "simple_entailment_spec" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [ "graph_ground" ], "class": "local_refinement" }, { "name": "lemma_term_tt_free_bridge", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 455, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "term_tt_free" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_graph_frag_tt_free", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 458, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_frag", "graph_tt_free" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec", "SPARQL11.Algebra.BGPRefinement" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_tt_free_subset", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 464, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [ "graph_tt_free", "is_subgraph" ], "declarative_modules": [ "RDF.Entailment.Simple.Spec" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_decides_hyps_suffices", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 500, "unconditional": false, "shipping_functions_named": [ "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure" ], "declarative_relations_named": [ "graph_tt_free", "rho_df_decides_hyps", "rho_df_entails", "simple_entailment_spec" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "RDF.Entailment.Simple.Spec", "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [ "RDF.Entailment.Simple.Spec" ], "ambiguous_identifiers": [], "class": "w3c_refinement" }, { "name": "theorem_rdfs_regime_bgp_sound", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 532, "unconditional": false, "shipping_functions_named": [ "eval_bgp", "instantiate_bgp", "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_rdfs_regime_bgp_complete_conditional", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 583, "unconditional": false, "shipping_functions_named": [ "eval_bgp", "instantiate_bgp", "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "SPARQL11.Algebra" ], "declarative_relations_named": [ "eval_bgp_complete_at", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [ "graph_ground" ], "class": "internal_refinement" }, { "name": "theorem_rdfs_regime_bgp_exact", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 606, "unconditional": false, "shipping_functions_named": [ "eval_bgp", "instantiate_bgp", "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "eval_bgp_complete_at", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [ "graph_ground" ], "class": "internal_refinement" }, { "name": "lemma_eval_pattern_bgp_is_selective_store", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 645, "unconditional": true, "shipping_functions_named": [ "eval_bgp_store", "eval_pattern", "graph_to_store_for" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_ask_bgp_gives_solution", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 650, "unconditional": false, "shipping_functions_named": [ "eval_bgp" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "theorem_rdfs_regime_ask_sound", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 662, "unconditional": false, "shipping_functions_named": [ "instantiate_bgp", "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_rdfs_regime_ask_complete_conditional", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 684, "unconditional": false, "shipping_functions_named": [ "instantiate_bgp", "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "SPARQL11.Algebra" ], "declarative_relations_named": [ "eval_bgp_complete_at", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [ "graph_ground" ], "class": "internal_refinement" }, { "name": "lemma_ask_pattern_gives_solution", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 730, "unconditional": false, "shipping_functions_named": [ "eval_bgp_store", "graph_to_store_for" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "theorem_rdfs_regime_bgp_sound_selective", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 747, "unconditional": false, "shipping_functions_named": [ "eval_bgp_store", "graph_to_store_for", "instantiate_bgp", "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_rdfs_regime_ask_pattern_sound", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 768, "unconditional": false, "shipping_functions_named": [ "instantiate_bgp", "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "lemma_eval_ask_query_bgp_shape", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 797, "unconditional": false, "shipping_functions_named": [ "eval_ask_query", "query" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "theorem_rdfs_regime_ask_query_sound", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 814, "unconditional": false, "shipping_functions_named": [ "eval_ask_query", "instantiate_bgp", "query", "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "internal_refinement" }, { "name": "theorem_rdfs_regime_bgp_complete_conditional_selective", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 854, "unconditional": false, "shipping_functions_named": [ "eval_bgp_store", "graph_to_store_for", "instantiate_bgp", "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "SPARQL11.Algebra" ], "declarative_relations_named": [ "eval_bgp_store_complete_at", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [ "graph_ground" ], "class": "internal_refinement" }, { "name": "theorem_rdfs_regime_ask_query_complete_conditional", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 873, "unconditional": false, "shipping_functions_named": [ "eval_ask_query", "instantiate_bgp", "query", "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "SPARQL11.Algebra" ], "declarative_relations_named": [ "eval_bgp_store_complete_at", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [ "graph_ground" ], "class": "internal_refinement" }, { "name": "lemma_regime_answer_is_subgraph", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 958, "unconditional": false, "shipping_functions_named": [ "instantiate_bgp", "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "SPARQL11.Algebra" ], "declarative_relations_named": [ "rho_df_decides_hyps", "rho_df_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [ "graph_ground" ], "class": "internal_refinement" }, { "name": "theorem_rdfs_regime_bgp_complete", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 981, "unconditional": false, "shipping_functions_named": [ "eval_bgp", "instantiate_bgp", "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "bgp_instantiable", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [ "graph_ground" ], "class": "internal_refinement" }, { "name": "theorem_rdfs_regime_bgp_exact_answer", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 1005, "unconditional": false, "shipping_functions_named": [ "eval_bgp", "instantiate_bgp", "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "bgp_instantiable", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [ "graph_ground" ], "class": "internal_refinement" }, { "name": "theorem_rdfs_regime_ask_complete", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 1034, "unconditional": false, "shipping_functions_named": [ "instantiate_bgp", "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "bgp_instantiable", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [ "graph_ground" ], "class": "internal_refinement" }, { "name": "theorem_rdfs_regime_bgp_complete_selective", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 1061, "unconditional": false, "shipping_functions_named": [ "eval_bgp_store", "graph_to_store_for", "instantiate_bgp", "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "bgp_instantiable", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [ "graph_ground" ], "class": "internal_refinement" }, { "name": "theorem_rdfs_regime_ask_query_complete", "host_module": "SPARQL11.EntailmentRegime.RDFS", "file": "formal/fstar/SPARQL11.EntailmentRegime.RDFS.fst", "line": 1089, "unconditional": false, "shipping_functions_named": [ "eval_ask_query", "instantiate_bgp", "query", "rho_df_closure" ], "shipping_modules": [ "RDF.Entailment.RDFS.RhoDFClosure", "SPARQL11.Algebra" ], "declarative_relations_named": [ "bgp_frag", "bgp_instantiable", "graph_frag", "rho_df_decides_hyps", "rho_df_entails" ], "declarative_modules": [ "RDF.Entailment.RDFS.Completeness", "SPARQL11.Algebra.BGPRefinement", "SPARQL11.EntailmentRegime.RDFS" ], "independent_formalisation_modules": [], "ambiguous_identifiers": [ "graph_ground" ], "class": "internal_refinement" }, { "name": "lemma_ebv_checked_is_spec", "host_module": "SPARQL11.Expression.Refinement", "file": "formal/fstar/SPARQL11.Expression.Refinement.fst", "line": 149, "unconditional": true, "shipping_functions_named": [ "ebv_checked" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_ebv_matches_spec_some", "host_module": "SPARQL11.Expression.Refinement", "file": "formal/fstar/SPARQL11.Expression.Refinement.fst", "line": 158, "unconditional": false, "shipping_functions_named": [ "ebv" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_ebv_typeerror_folds_false", "host_module": "SPARQL11.Expression.Refinement", "file": "formal/fstar/SPARQL11.Expression.Refinement.fst", "line": 170, "unconditional": false, "shipping_functions_named": [ "ebv" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_ebv_langstring_agrees", "host_module": "SPARQL11.Expression.Refinement", "file": "formal/fstar/SPARQL11.Expression.Refinement.fst", "line": 187, "unconditional": false, "shipping_functions_named": [ "ebv", "ebv_checked", "rdf_lang_string" ], "shipping_modules": [ "RDF.Term", "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_and_matches_spec_when_no_error", "host_module": "SPARQL11.Expression.Refinement", "file": "formal/fstar/SPARQL11.Expression.Refinement.fst", "line": 237, "unconditional": false, "shipping_functions_named": [ "ebv" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_or_matches_spec_when_no_error", "host_module": "SPARQL11.Expression.Refinement", "file": "formal/fstar/SPARQL11.Expression.Refinement.fst", "line": 247, "unconditional": false, "shipping_functions_named": [ "ebv" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_not_matches_spec_when_no_error", "host_module": "SPARQL11.Expression.Refinement", "file": "formal/fstar/SPARQL11.Expression.Refinement.fst", "line": 257, "unconditional": false, "shipping_functions_named": [ "ebv" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_eval_and_matches_spec", "host_module": "SPARQL11.Expression.Refinement", "file": "formal/fstar/SPARQL11.Expression.Refinement.fst", "line": 276, "unconditional": true, "shipping_functions_named": [ "eval_expr_with_base" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_eval_or_matches_spec", "host_module": "SPARQL11.Expression.Refinement", "file": "formal/fstar/SPARQL11.Expression.Refinement.fst", "line": 286, "unconditional": true, "shipping_functions_named": [ "eval_expr_with_base" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_eval_not_matches_spec", "host_module": "SPARQL11.Expression.Refinement", "file": "formal/fstar/SPARQL11.Expression.Refinement.fst", "line": 296, "unconditional": true, "shipping_functions_named": [ "eval_expr_with_base" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_eval_and_true_error_agrees", "host_module": "SPARQL11.Expression.Refinement", "file": "formal/fstar/SPARQL11.Expression.Refinement.fst", "line": 312, "unconditional": true, "shipping_functions_named": [ "eval_expr_with_base" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_eval_or_false_error_agrees", "host_module": "SPARQL11.Expression.Refinement", "file": "formal/fstar/SPARQL11.Expression.Refinement.fst", "line": 323, "unconditional": true, "shipping_functions_named": [ "eval_expr_with_base" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_eval_not_error_agrees", "host_module": "SPARQL11.Expression.Refinement", "file": "formal/fstar/SPARQL11.Expression.Refinement.fst", "line": 335, "unconditional": true, "shipping_functions_named": [ "eval_expr_with_base" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_eq_num_matches_spec", "host_module": "SPARQL11.Expression.Refinement", "file": "formal/fstar/SPARQL11.Expression.Refinement.fst", "line": 360, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [ "value_compare" ], "class": "unclassified" }, { "name": "lemma_eq_plain_string_matches_spec", "host_module": "SPARQL11.Expression.Refinement", "file": "formal/fstar/SPARQL11.Expression.Refinement.fst", "line": 365, "unconditional": false, "shipping_functions_named": [ "xsd_string" ], "shipping_modules": [ "RDF.Term" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [ "value_compare" ], "class": "local_refinement" }, { "name": "lemma_eq_dec_reflexive", "host_module": "SPARQL11.Expression.Refinement", "file": "formal/fstar/SPARQL11.Expression.Refinement.fst", "line": 383, "unconditional": false, "shipping_functions_named": [ "parse_to_scaled" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [ "value_compare" ], "class": "local_refinement" }, { "name": "lemma_eq_dbl_reflexive", "host_module": "SPARQL11.Expression.Refinement", "file": "formal/fstar/SPARQL11.Expression.Refinement.fst", "line": 388, "unconditional": false, "shipping_functions_named": [ "parse_double_to_scaled" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [ "value_compare" ], "class": "local_refinement" }, { "name": "lemma_eq_literal_different_datatype_typeerror", "host_module": "SPARQL11.Expression.Refinement", "file": "formal/fstar/SPARQL11.Expression.Refinement.fst", "line": 400, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [ "value_compare" ], "class": "unclassified" }, { "name": "lemma_eq_literal_same_datatype_diff_lang", "host_module": "SPARQL11.Expression.Refinement", "file": "formal/fstar/SPARQL11.Expression.Refinement.fst", "line": 409, "unconditional": false, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [ "value_compare" ], "class": "unclassified" }, { "name": "lemma_eval_eq_num_matches_spec", "host_module": "SPARQL11.Expression.Refinement", "file": "formal/fstar/SPARQL11.Expression.Refinement.fst", "line": 418, "unconditional": false, "shipping_functions_named": [ "eval_expr_with_base" ], "shipping_modules": [ "SPARQL11.Algebra" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_ask_bgp_fuel_cost_n5_fits_entry_fuel", "host_module": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 181, "unconditional": true, "shipping_functions_named": [], "shipping_modules": [], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_path_primary_iri", "host_module": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 219, "unconditional": true, "shipping_functions_named": [ "parse_path_primary" ], "shipping_modules": [ "SPARQL11.Parser" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_path_elt_iri", "host_module": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 225, "unconditional": false, "shipping_functions_named": [ "parse_path_elt", "parse_peek" ], "shipping_modules": [ "SPARQL11.Parser" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_path_elt_or_inverse_iri", "host_module": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 233, "unconditional": false, "shipping_functions_named": [ "parse_path_elt_or_inverse", "parse_peek" ], "shipping_modules": [ "SPARQL11.Parser" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_path_sequence_iri", "host_module": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 241, "unconditional": false, "shipping_functions_named": [ "parse_path_sequence", "parse_peek" ], "shipping_modules": [ "SPARQL11.Parser" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_path_alternative_iri", "host_module": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 250, "unconditional": false, "shipping_functions_named": [ "parse_path_alternative", "parse_peek" ], "shipping_modules": [ "SPARQL11.Parser" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_verb_iri", "host_module": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 261, "unconditional": false, "shipping_functions_named": [ "parse_peek", "parse_verb" ], "shipping_modules": [ "SPARQL11.Parser" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_verb_var", "host_module": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 269, "unconditional": true, "shipping_functions_named": [ "parse_verb" ], "shipping_modules": [ "SPARQL11.Parser" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_parse_verb_1", "host_module": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 277, "unconditional": false, "shipping_functions_named": [ "parse_peek", "parse_verb" ], "shipping_modules": [ "SPARQL11.Parser" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_object_with_extras_1", "host_module": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 289, "unconditional": true, "shipping_functions_named": [ "parse_object_with_extras" ], "shipping_modules": [ "SPARQL11.Parser" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_parse_annotations_dot", "host_module": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 301, "unconditional": true, "shipping_functions_named": [ "parse_annotations" ], "shipping_modules": [ "SPARQL11.Parser" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_parse_object_list_simple_1", "host_module": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 309, "unconditional": false, "shipping_functions_named": [ "fulltext_query_pred", "ggp_add_triple", "group_graph_pattern", "parse_object_list_simple" ], "shipping_modules": [ "SPARQL.FullText", "SPARQL11.Algebra", "SPARQL11.Parser" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_pred_obj_list_1", "host_module": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 324, "unconditional": false, "shipping_functions_named": [ "fulltext_query_pred", "ggp_add_triple", "group_graph_pattern", "parse_pred_obj_list" ], "shipping_modules": [ "SPARQL.FullText", "SPARQL11.Algebra", "SPARQL11.Parser" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_subject_with_extras_1", "host_module": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 337, "unconditional": true, "shipping_functions_named": [ "parse_subject_with_extras" ], "shipping_modules": [ "SPARQL11.Parser" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_ggp_add_triple_acc", "host_module": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 358, "unconditional": true, "shipping_functions_named": [ "ggp_add_triple" ], "shipping_modules": [ "SPARQL11.Parser" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_ggp_join_acc_empty", "host_module": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 367, "unconditional": true, "shipping_functions_named": [ "ggp_join" ], "shipping_modules": [ "SPARQL11.Parser" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_triples_block_unfold_one_triple", "host_module": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 391, "unconditional": false, "shipping_functions_named": [ "parse_peek", "parse_triples_block" ], "shipping_modules": [ "SPARQL11.Parser" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "algorithm_correctness" }, { "name": "lemma_parse_triples_block_bgp", "host_module": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 426, "unconditional": false, "shipping_functions_named": [ "parse_triples_block" ], "shipping_modules": [ "SPARQL11.Parser" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_ggp_body_step1", "host_module": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 477, "unconditional": false, "shipping_functions_named": [ "parse_ggp_body" ], "shipping_modules": [ "SPARQL11.Parser" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_ggp_body_step2", "host_module": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 497, "unconditional": true, "shipping_functions_named": [ "parse_ggp_body" ], "shipping_modules": [ "SPARQL11.Parser" ], "declarative_relations_named": [], "declarative_modules": [], "independent_formalisation_modules": [], "ambiguous_identifiers": [], "class": "local_refinement" }, { "name": "lemma_parse_group_graph_pattern_ask_bgp", "host_module": "SPARQL11.Parser.AskBgpRoundTrip", "file": "formal/fstar/SPARQL11.Parser.AskBgpRoundTrip.fst", "line": 505, 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