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/
26 type rule = SuperpositionRight | SuperpositionLeft | Demodulation
32 | Step of Subst.substitution * (rule * int * (Utils.pos * int) * Cic.term)
34 and goal_proof = (Utils.pos * int * Subst.substitution * Cic.term) list
36 val pp_proof: (Cic.name option) list -> goal_proof -> proof -> string
38 val reset : unit -> unit
42 (Cic.term * Cic.term * Cic.term * Utils.comparison) *
47 int * (Cic.term * Cic.term * Cic.term * Utils.comparison) * Cic.metasenv ->
53 (Cic.term * Cic.term * Cic.term * Utils.comparison) *
55 val depend : equality -> int -> bool
56 val compare : equality -> equality -> int
57 val string_of_equality : ?env:Utils.environment -> equality -> string
59 ?names:(Cic.name option)list -> proof -> goal_proof -> string
60 val build_proof_term: proof -> Cic.term
61 (* build_goal_proof [goal_proof] [initial_proof] [ty]
62 * [ty] is the type of the goal *)
63 val build_goal_proof: goal_proof -> Cic.term -> Cic.term-> Cic.term
64 val refl_proof: Cic.term -> Cic.term -> Cic.term
65 (** ensures that metavariables in equality are unique *)
66 val fix_metas: int -> equality -> int * equality
67 val metas_of_proof: proof -> int list
69 exception TermIsNotAnEquality;;
72 raises TermIsNotAnEquality if term is not an equation.
73 The first Cic.term is a proof of the equation
75 val equality_of_term: Cic.term -> Cic.term -> equality
78 Re-builds the term corresponding to this equality
80 val term_of_equality: equality -> Cic.term
81 val term_is_equality: Cic.term -> bool
83 (** tests a sort of alpha-convertibility between the two terms, but on the
85 val meta_convertibility: Cic.term -> Cic.term -> bool
87 (** meta convertibility between two equations *)
88 val meta_convertibility_eq: equality -> equality -> bool
90 val is_weak_identity: equality -> bool
91 val is_identity: Utils.environment -> equality -> bool