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.
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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.
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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 (Tactics.intros ~howmany:1
30 ~mk_fresh_name_callback:(fun _ _ _ ~typ -> Cic.Name id) ())
32 (Tactics.change ~pattern:(None,[id,Cic.Implicit (Some `Hole)],None)
33 (fun _ metasenv ugraph -> t,metasenv,ugraph))
37 (*BUG: check on t missing *)
38 let ty = match ty with None -> t | Some ty -> ty in
41 (Tactics.intros ~howmany:1
42 ~mk_fresh_name_callback:(fun _ _ _ ~typ -> Cic.Name id) ())
44 (Tactics.change ~pattern:(None,[id,Cic.Implicit (Some `Hole)],None)
45 (fun _ metasenv ugraph -> ty,metasenv,ugraph))
48 let by_term_we_proved ~dbd ~universe t ty id ty' =
51 None -> Tactics.auto ~dbd ~params:[] ~universe
52 | Some t -> Tactics.apply t
60 ~start:(Tactics.change
61 ~pattern:(ProofEngineTypes.conclusion_pattern None)
62 (fun _ metasenv ugraph -> ty,metasenv,ugraph))
68 None -> Tacticals.id_tac
70 Tactics.change ~pattern:(None,[id,Cic.Implicit (Some `Hole)],None)
71 (fun _ metasenv ugraph -> ty',metasenv,ugraph)
76 ~mk_fresh_name_callback:(fun _ _ _ ~typ -> Cic.Name id))
77 ~continuations:[ continuation ; just ]
80 let bydone ~dbd ~universe t =
83 None -> Tactics.auto ~dbd ~params:[] ~universe
84 | Some t -> Tactics.apply t
89 let we_need_to_prove t id ty =
93 None -> Tacticals.id_tac (*BUG: check missing here *)
95 Tactics.change ~pattern:(ProofEngineTypes.conclusion_pattern None)
96 (fun _ metasenv ugraph -> ty,metasenv,ugraph))
101 None -> Tacticals.id_tac,t
103 Tactics.change ~pattern:(None,[id,Cic.Implicit (Some `Hole)],None)
104 (fun _ metasenv ugraph -> t,metasenv,ugraph), ty in
106 ProofEngineTypes.apply_tactic
110 ~mk_fresh_name_callback:(fun _ _ _ ~typ -> Cic.Name id))
111 ~continuations:[cont])
116 [fst; snd] -> [snd; fst]
121 ProofEngineTypes.mk_tactic aux
124 let existselim t id1 t1 id2 t2 =
125 (*BUG: t1 and t2 not used *)
126 (*PARSING BUG: t2 is parsed in the current context, but it may
127 have occurrences of id1 in it *)
128 Tactics.elim_intros t
129 ~mk_fresh_name_callback:
133 if !i = 1 then Cic.Name id1 else Cic.Name id2)
135 let andelim = existselim;;
137 let rewritingstep ~dbd ~universe lhs rhs just conclude =
138 let aux ((proof,goal) as status) =
139 let (curi,metasenv,proofbo,proofty) = proof in
140 let _,context,_ = CicUtil.lookup_meta goal metasenv in
142 match LibraryObjects.eq_URI () with
143 None -> raise (ProofEngineTypes.Fail (lazy "You need to register the default equality first. Please use the \"default\" command"))
145 Cic.MutInd (uri,0,[]), Cic.Const (LibraryObjects.trans_eq_URI ~eq:uri,[])
148 CicTypeChecker.type_of_aux' metasenv context rhs CicUniv.empty_ugraph in
152 Tactics.auto ~dbd ~params:["paramodulation","1"; "timeout","3"] ~universe
153 | Some just -> Tactics.apply just
160 (CicTypeChecker.type_of_aux' metasenv context (Cic.Rel 1)
161 CicUniv.empty_ugraph)
163 Cic.Appl [_;_;plhs;prhs] -> plhs,prhs
164 | _ -> assert false in
167 (Some (Cic.Name id,_))::_ -> id
172 ProofEngineTypes.apply_tactic
174 ~start:(Tactics.apply ~term:trans)
176 [ Tactics.apply prhs ;
177 Tactics.apply (Cic.Rel 1) ;
180 let mk_fresh_name_callback =
181 fun metasenv context _ ~typ ->
182 FreshNamesGenerator.mk_fresh_name ~subst:[]
183 metasenv context name ~typ
185 ProofEngineTypes.apply_tactic
187 ~start:(Tactics.cut ~mk_fresh_name_callback
188 (Cic.Appl [eq ; ty ; plhs ; rhs]))
190 [ Tactics.clear ~hyps:[last_hyp_name] ;
192 ~start:(Tactics.apply ~term:trans)
194 [ Tactics.apply prhs ;
195 Tactics.apply (Cic.Rel 1) ;
200 None -> ProofEngineTypes.apply_tactic just status
202 let mk_fresh_name_callback =
203 fun metasenv context _ ~typ ->
204 FreshNamesGenerator.mk_fresh_name ~subst:[]
205 metasenv context name ~typ
207 ProofEngineTypes.apply_tactic
210 (Tactics.cut ~mk_fresh_name_callback
211 (Cic.Appl [eq ; ty ; lhs ; rhs]))
212 ~continuations:[ Tacticals.id_tac ; just ]) status
214 ProofEngineTypes.mk_tactic aux
217 let we_proceed_by_induction_on t pat =
218 (*BUG here: pat unused *)
219 Tactics.elim_intros ~depth:0 t
222 let case id ~params =
223 (*BUG here: id unused*)
224 (*BUG here: it does not verify that the previous branch is closed *)
225 (*BUG here: the params should be parsed telescopically*)
226 (*BUG here: the tactic_terms should be terms*)
227 let rec aux ~params ((proof,goal) as status) =
231 match ProofEngineTypes.apply_tactic (assume id t) status with
232 proof,[goal] -> aux tl (proof,goal)
235 ProofEngineTypes.mk_tactic (aux ~params)
238 let thesisbecomes t =
240 (*BUG here: missing check on t *)
242 None -> Tacticals.id_tac
244 Tactics.change ~pattern:(None,[],Some (Cic.Implicit (Some `Hole)))
245 (fun _ metasenv ugraph -> ty,metasenv,ugraph)
248 let byinduction t id = suppose t id None;;