1 (* Copyright (C) 2002, HELM Team.
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4 * Library of Mathematics, developed at the Computer Science
5 * Department, University of Bologna, Italy.
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26 module MI = CicMkImplicit
27 module TC = CicTypeChecker
28 module PET = ProofEngineTypes
29 module PEH = ProofEngineHelpers
31 module S = CicSubstitution
32 module PT = PrimitiveTactics
35 let fail_msg1 = "no applicable simplification"
37 let error msg = raise (PET.Fail msg)
39 (* lapply *******************************************************************)
41 let lapply_tac ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name ~subst:[])
42 (* ?(substs = []) *) ?to_what what =
43 let cut_tac term = PT.cut_tac ~mk_fresh_name_callback term in
44 let apply_tac term = PT.apply_tac term in
45 let strip_dependent_prods metasenv context t =
46 let irl = MI.identity_relocation_list_for_metavariable context in
47 let rec aux metasenv p xcontext = function
48 | Cic.Prod (name, t1, t2) when not (TC.does_not_occur xcontext 0 1 t2) ->
49 let index = MI.new_meta metasenv [] in
50 let metasenv = [index, context, t1] @ metasenv in
51 let e, s = Some (name, Cic.Decl t1), Cic.Meta (index, irl) in
52 aux metasenv (succ p) (e :: xcontext) (S.subst s t2)
53 | Cic.Prod (name, t1, t2) -> metasenv, p, Some t1, t2
54 | t -> metasenv, p, None, t
56 aux metasenv 0 context t
58 let rec mk_continuations p l =
59 if p <= 0 then l else mk_continuations (pred p) (T.id_tac :: l)
61 let lapply_tac (proof, goal) =
62 let xuri, metasenv, u, t = proof in
63 let _, context, _ = CicUtil.lookup_meta goal metasenv in
64 let lemma, _ = TC.type_of_aux' metasenv context what U.empty_ugraph in
65 match strip_dependent_prods metasenv context lemma with
66 | metasenv, p, Some premise, conclusion ->
70 | Some term -> PT.apply_tac term
72 let status = (xuri, metasenv, u, t), goal in
73 let tac = T.thens ~start:(cut_tac premise)
75 T.thens ~start:(cut_tac conclusion)
76 ~continuations:[ T.id_tac;
77 T.thens ~start:(PT.apply_tac what)
78 ~continuations:(mk_continuations p [PT.apply_tac ~term:(Cic.Rel 1)])
81 PET.apply_tactic tac status
82 | metasenv, p, None, conclusion ->
83 failwith "lapply_tac: not implemented"
85 PET.mk_tactic lapply_tac
87 (* fwd **********************************************************************)
89 let fwd_simpl_tac ~what ~dbd =
90 let fwd_simpl_tac status =
91 let (proof, goal) = status in
92 let _, metasenv, _, _ = proof in
93 let _, context, ty = CicUtil.lookup_meta goal metasenv in
94 let major, _ = TC.type_of_aux' metasenv context what U.empty_ugraph in
95 match MetadataQuery.fwd_simpl ~dbd major with
96 | [] -> error fail_msg1
97 | uri :: _ -> prerr_endline (UriManager.string_of_uri uri); (proof, [])
99 PET.mk_tactic fwd_simpl_tac