1 (* Copyright (C) 2005, 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://cs.unibo.it/helm/.
29 (Cic.term * (* type *)
30 Cic.term * (* left side *)
31 Cic.term * (* right side *)
32 Utils.comparison) * (* ordering *)
33 Cic.metasenv * (* environment for metas *)
34 Cic.term list (* arguments *)
37 | NoProof (* no proof *)
38 | BasicProof of Cic.term (* already a proof of a goal *)
39 | ProofBlock of (* proof of a rewrite step *)
40 Cic.substitution * UriManager.uri * (* eq_ind or eq_ind_r *)
41 (Cic.name * Cic.term) * Cic.term * (Utils.pos * equality) * proof
42 | ProofGoalBlock of proof * proof
43 (* proof of the new meta, proof of the goal from which this comes *)
44 | ProofSymBlock of Cic.term list * proof (* expl.named subst, proof *)
45 | SubProof of Cic.term * int * proof
46 (* parent proof, subgoal, proof of the subgoal *)
48 type environment = Cic.metasenv * Cic.context * CicUniv.universe_graph
50 (** builds the Cic.term encoded by proof *)
51 val build_proof_term: ?noproof:Cic.term -> proof -> Cic.term
53 val string_of_proof: proof -> string
55 exception MatchingFailure
57 (** matching between two terms. Can raise MatchingFailure *)
59 Cic.metasenv -> Cic.context -> Cic.term -> Cic.term ->
60 CicUniv.universe_graph ->
61 Cic.substitution * Cic.metasenv * CicUniv.universe_graph
64 special unification that checks if the two terms are "simple", and in
65 such case should be significantly faster than CicUnification.fo_unif
68 Cic.metasenv -> Cic.context -> Cic.term -> Cic.term ->
69 CicUniv.universe_graph ->
70 Cic.substitution * Cic.metasenv * CicUniv.universe_graph
74 scans the context to find all Declarations "left = right"; returns a
75 list of tuples (proof, (type, left, right), newmetas). Uses
76 PrimitiveTactics.new_metasenv_for_apply to replace bound variables with
80 Cic.context -> ProofEngineTypes.proof -> int list * equality list * int
83 searches the library for equalities that can be applied to the current goal
85 val find_library_equalities:
86 HMysql.dbd -> Cic.context -> ProofEngineTypes.status -> int ->
87 UriManager.UriSet.t * (UriManager.uri * equality) list * int
90 searches the library for theorems that are not equalities (returned by the
93 val find_library_theorems:
94 HMysql.dbd -> environment -> ProofEngineTypes.status -> UriManager.UriSet.t ->
95 (Cic.term * Cic.term * Cic.metasenv) list
98 searches the context for hypotheses that are not equalities
100 val find_context_hypotheses:
101 environment -> int list -> (Cic.term * Cic.term * Cic.metasenv) list
104 exception TermIsNotAnEquality;;
107 raises TermIsNotAnEquality if term is not an equation.
108 The first Cic.term is a proof of the equation
110 val equality_of_term: Cic.term -> Cic.term -> equality
113 Re-builds the term corresponding to this equality
115 val term_of_equality: equality -> Cic.term
117 val term_is_equality: Cic.term -> bool
119 (** tests a sort of alpha-convertibility between the two terms, but on the
121 val meta_convertibility: Cic.term -> Cic.term -> bool
123 (** meta convertibility between two equations *)
124 val meta_convertibility_eq: equality -> equality -> bool
126 val is_weak_identity: environment -> equality -> bool
127 val is_identity: environment -> equality -> bool
129 val string_of_equality: ?env:environment -> equality -> string
131 val metas_of_term: Cic.term -> int list
133 (** ensures that metavariables in equality are unique *)
134 val fix_metas: int -> equality -> int * equality