1 (* Copyright (C) 2006, HELM Team.
3 * This file is part of HELM, an Hypertextual, Electronic
4 * Library of Mathematics, developed at the Computer Science
5 * Department, University of Bologna, Italy.
7 * HELM is free software; you can redistribute it and/or
8 * modify it under the terms of the GNU General Public License
9 * as published by the Free Software Foundation; either version 2
10 * of the License, or (at your option) any later version.
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13 * but WITHOUT ANY WARRANTY; without even the implied warranty of
14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 * GNU General Public License for more details.
17 * You should have received a copy of the GNU General Public License
18 * along with HELM; if not, write to the Free Software
19 * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
22 * For details, see the HELM World-Wide-Web page,
23 * http://helm.cs.unibo.it/
28 type rule = SuperpositionRight | SuperpositionLeft |Demodulation
32 and proof = new_proof * old_proof
36 | Step of substitution * (rule * int * (Utils.pos * int) * Cic.term)
40 | BasicProof of substitution * Cic.term
41 | ProofBlock of substitution * UriManager.uri * (Cic.name * Cic.term) *
42 Cic.term * (Utils.pos * equality) * old_proof
43 | ProofGoalBlock of old_proof * old_proof
44 | ProofSymBlock of Cic.term list * old_proof
45 | SubProof of Cic.term * int * old_proof
47 and goal_proof = (Utils.pos * int * substitution * Cic.term) list
50 val empty_subst : substitution
51 val apply_subst : substitution -> Cic.term -> Cic.term
52 val apply_subst_metasenv : substitution -> Cic.metasenv -> Cic.metasenv
53 val ppsubst : substitution -> string
55 int -> Cic.context -> Cic.term -> Cic.term -> substitution ->
57 val flatten_subst : substitution -> substitution
58 val lookup_subst : Cic.term -> substitution -> Cic.term
59 val filter : substitution -> Cic.metasenv -> Cic.metasenv
60 val is_in_subst : int -> substitution -> bool
61 val merge_subst_if_possible:
62 substitution -> substitution ->
65 val reset : unit -> unit
69 (Cic.term * Cic.term * Cic.term * Utils.comparison) *
76 (Cic.term * Cic.term * Cic.term * Utils.comparison) *
78 val compare : equality -> equality -> int
79 val string_of_equality : ?env:Utils.environment -> equality -> string
80 val string_of_proof_old : ?names:(Cic.name option)list -> old_proof -> string
81 val string_of_proof_new :
82 ?names:(Cic.name option)list -> new_proof -> goal_proof -> string
83 val build_proof_term_new: new_proof -> Cic.term * Cic.metasenv
84 val build_proof_term_old: ?noproof:Cic.term -> old_proof -> Cic.term
86 goal_proof -> (Cic.term * Cic.metasenv) -> Cic.term * Cic.metasenv
87 val refl_proof: Cic.term -> Cic.term -> Cic.term
88 (** ensures that metavariables in equality are unique *)
89 val fix_metas: int -> equality -> int * equality
90 val metas_of_proof: proof -> int list
92 exception TermIsNotAnEquality;;
95 raises TermIsNotAnEquality if term is not an equation.
96 The first Cic.term is a proof of the equation
98 val equality_of_term: Cic.term -> Cic.term -> equality
101 Re-builds the term corresponding to this equality
103 val term_of_equality: equality -> Cic.term
104 val term_is_equality: Cic.term -> bool
106 (** tests a sort of alpha-convertibility between the two terms, but on the
108 val meta_convertibility: Cic.term -> Cic.term -> bool
110 (** meta convertibility between two equations *)
111 val meta_convertibility_eq: equality -> equality -> bool
113 val is_weak_identity: equality -> bool
114 val is_identity: Utils.environment -> equality -> bool