1 (* Copyright (C) 2002, 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.
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15 * GNU General Public License for more details.
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27 module PEH = ProofEngineHelpers
29 module TC = CicTypeChecker
30 module PET = ProofEngineTypes
31 module S = CicSubstitution
32 module PT = PrimitiveTactics
34 module FNG = FreshNamesGenerator
35 module MI = CicMkImplicit
36 module PESR = ProofEngineStructuralRules
38 let fail_msg0 = "unexported clearbody: invalid argument"
39 let fail_msg2 = "fwd: no applicable simplification"
41 let error msg = raise (PET.Fail msg)
43 (* unexported tactics *******************************************************)
46 let id_tac (proof,goal) =
48 let _, metasenv, _, _ = proof in
49 let _, _, _ = CicUtil.lookup_meta goal metasenv in
51 with CicUtil.Meta_not_found _ -> (proof, [])
55 let clearbody ~index =
56 let rec find_name index = function
57 | Some (Cic.Name name, _) :: _ when index = 1 -> name
58 | _ :: tail when index > 1 -> find_name (pred index) tail
59 | _ -> error fail_msg0
61 let clearbody status =
62 let (proof, goal) = status in
63 let _, metasenv, _, _ = proof in
64 let _, context, _ = CicUtil.lookup_meta goal metasenv in
65 PET.apply_tactic (PESR.clearbody ~hyp:(find_name index context)) status
67 PET.mk_tactic clearbody
69 (* lapply *******************************************************************)
71 let strip_prods metasenv context ?how_many to_what term =
72 let irl = MI.identity_relocation_list_for_metavariable context in
73 let mk_meta metasenv its_type =
74 let index = MI.new_meta metasenv [] in
75 let metasenv = [index, context, its_type] @ metasenv in
76 metasenv, Cic.Meta (index, irl), index
78 let update_counters = function
79 | None, [] -> None, false, id_tac, []
80 | None, to_what :: tail -> None, true, PT.apply_tac ~term:to_what, tail
81 | Some hm, [] -> Some (pred hm), false, id_tac, []
82 | Some hm, to_what :: tail -> Some (pred hm), true, PT.apply_tac ~term:to_what, tail
84 let rec aux metasenv metas conts tw = function
85 | Some hm, _ when hm <= 0 -> metasenv, metas, conts
86 | xhm, Cic.Prod (Cic.Name _, t1, t2) ->
87 let metasenv, meta, index = mk_meta metasenv t1 in
88 aux metasenv (meta :: metas) (conts @ [id_tac, index]) tw (xhm, (S.subst meta t2))
89 | xhm, Cic.Prod (Cic.Anonymous, t1, t2) ->
90 let xhm, pos, tac, tw = update_counters (xhm, tw) in
91 let metasenv, meta, index = mk_meta metasenv t1 in
92 let conts = if pos then (tac, index) :: conts else conts @ [tac, index] in
93 aux metasenv (meta :: metas) conts tw (xhm, (S.subst meta t2))
94 | _, t -> metasenv, metas, conts
96 aux metasenv [] [] to_what (how_many, term)
98 let lapply_tac ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name ~subst:[])
99 (* ?(substs = []) *) ?how_many ?(to_what = []) what =
100 let letin_tac term = PT.letin_tac ~mk_fresh_name_callback term in
101 let lapply_tac (proof, goal) =
102 let xuri, metasenv, u, t = proof in
103 let _, context, _ = CicUtil.lookup_meta goal metasenv in
104 let lemma, _ = TC.type_of_aux' metasenv context what U.empty_ugraph in
105 let lemma = FNG.clean_dummy_dependent_types lemma in
106 let metasenv, metas, conts = strip_prods metasenv context ?how_many to_what lemma in
108 match metas with [] -> what | _ -> Cic.Appl (what :: List.rev metas)
110 let tac = T.thens ~start:(letin_tac conclusion)
111 ~continuations:[clearbody ~index:1]
113 let proof = (xuri, metasenv, u, t) in
114 let aux (proof, goals) (tac, goal) =
115 let proof, new_goals = PET.apply_tactic tac (proof, goal) in
116 proof, goals @ new_goals
118 List.fold_left aux (proof, []) ((tac, goal) :: conts)
120 PET.mk_tactic lapply_tac
122 (* fwd **********************************************************************)
125 ?(mk_fresh_name_callback = FNG.mk_fresh_name ~subst:[])
127 let lapply_tac to_what lemma =
128 lapply_tac ~mk_fresh_name_callback ~how_many:1 ~to_what:[to_what] lemma
130 let fwd_simpl_tac status =
131 let (proof, goal) = status in
132 let _, metasenv, _, _ = proof in
133 let _, context, ty = CicUtil.lookup_meta goal metasenv in
134 let index, major = PEH.lookup_type metasenv context hyp in
135 match MetadataQuery.fwd_simpl ~dbd major with
136 | [] -> error fail_msg2
138 Printf.eprintf "fwd: %s\n" (UriManager.string_of_uri uri); flush stderr;
139 let start = lapply_tac (Cic.Rel index) (Cic.Const (uri, [])) in
140 let tac = T.thens ~start ~continuations:[PESR.clear hyp] in
141 PET.apply_tactic tac status
143 PET.mk_tactic fwd_simpl_tac