5 Cic.term * (* left side *)
6 Cic.term * (* right side *)
7 Utils.comparison) * (* ordering *)
8 Cic.metasenv * (* environment for metas *)
9 Cic.term list (* arguments *)
13 | BasicProof of Cic.term
15 Cic.substitution * UriManager.uri *
16 (Cic.name * Cic.term) * Cic.term *
17 (* name, ty, eq_ty, left, right *)
18 (* (Cic.name * Cic.term * Cic.term * Cic.term * Cic.term) * *)
19 (Utils.pos * equality) * proof
20 | ProofGoalBlock of proof * proof (* equality *)
21 (* | ProofSymBlock of Cic.term Cic.explicit_named_substitution * proof *)
22 | ProofSymBlock of Cic.term list * proof
23 | SubProof of Cic.term * int * proof
25 type environment = Cic.metasenv * Cic.context * CicUniv.universe_graph
28 exception MatchingFailure
31 Cic.metasenv -> Cic.context -> Cic.term -> Cic.term ->
32 CicUniv.universe_graph ->
33 Cic.substitution * Cic.metasenv * CicUniv.universe_graph
36 Cic.metasenv -> Cic.context -> Cic.term -> Cic.term ->
37 CicUniv.universe_graph ->
38 Cic.substitution * Cic.metasenv * CicUniv.universe_graph
42 Performs the beta expansion of the term "where" w.r.t. "what",
43 i.e. returns the list of all the terms t s.t. "(t what) = where".
46 ?metas_ok:bool -> ?match_only:bool -> Cic.term -> Cic.term -> Cic.term ->
47 Cic.context -> Cic.metasenv -> CicUniv.universe_graph ->
48 (Cic.term * Cic.substitution * Cic.metasenv * CicUniv.universe_graph) list
52 scans the context to find all Declarations "left = right"; returns a
53 list of tuples (proof, (type, left, right), newmetas). Uses
54 PrimitiveTactics.new_metasenv_for_apply to replace bound variables with
58 Cic.context -> ProofEngineTypes.proof -> int list * equality list * int
61 exception TermIsNotAnEquality;;
64 raises TermIsNotAnEquality if term is not an equation.
65 The first Cic.term is a proof of the equation
67 val equality_of_term: Cic.term -> Cic.term -> equality
69 val term_is_equality: Cic.term -> bool
72 superposition_left env target source
73 returns a list of new clauses inferred with a left superposition step
74 the negative equation "target" and the positive equation "source"
76 (* val superposition_left: environment -> equality -> equality -> equality list *)
79 superposition_right newmeta env target source
80 returns a list of new clauses inferred with a right superposition step
81 the positive equations "target" and "source"
82 "newmeta" is the first free meta index, i.e. the first number above the
83 highest meta index: its updated value is also returned
85 (* val superposition_right: *)
86 (* int -> environment -> equality -> equality -> int * equality list *)
88 (* val demodulation: int -> environment -> equality -> equality -> int * equality *)
90 val meta_convertibility: Cic.term -> Cic.term -> bool
92 val meta_convertibility_eq: equality -> equality -> bool
94 val is_identity: environment -> equality -> bool
96 val string_of_equality: ?env:environment -> equality -> string
98 (* val subsumption: environment -> equality -> equality -> bool *)
100 val metas_of_term: Cic.term -> int list
102 val fix_metas: int -> equality -> int * equality
104 val extract_differing_subterms:
105 Cic.term -> Cic.term -> (Cic.term * Cic.term) option
107 val build_proof_term: proof (* equality *) -> Cic.term
109 val find_library_equalities:
110 HMysql.dbd -> Cic.context -> ProofEngineTypes.status -> int ->
111 UriManager.UriSet.t * equality list * int
113 val find_library_theorems:
114 HMysql.dbd -> environment -> ProofEngineTypes.status -> UriManager.UriSet.t ->
115 (Cic.term * Cic.term * Cic.metasenv) list
117 val find_context_hypotheses:
118 environment -> int list -> (Cic.term * Cic.term * Cic.metasenv) list
120 val string_of_proof: proof -> string