-
-let rewrite_tac ~term:equality ~status:(proof,goal) =
- let module C = Cic in
- let module U = UriManager in
- let curi,metasenv,pbo,pty = proof in
- let metano,context,gty = List.find (function (m,_,_) -> m=goal) metasenv in
- let eq_ind_r,ty,t1,t2 =
- match CicTypeChecker.type_of_aux' metasenv context equality with
- C.Appl [C.MutInd (uri,0,[]) ; ty ; t1 ; t2]
- when U.eq uri (U.uri_of_string "cic:/Coq/Init/Logic/eq.ind") ->
- let eq_ind_r =
- C.Const
- (U.uri_of_string "cic:/Coq/Init/Logic/eq_ind_r.con",[])
- in
- eq_ind_r,ty,t1,t2
- | C.Appl [C.MutInd (uri,0,[]) ; ty ; t1 ; t2]
- when U.eq uri (U.uri_of_string "cic:/Coq/Init/Logic_Type/eqT.ind") ->
- let eqT_ind_r =
- C.Const
- (U.uri_of_string "cic:/Coq/Init/Logic_Type/eqT_ind_r.con",[])
- in
- eqT_ind_r,ty,t1,t2
- | _ ->
- raise
- (ProofEngineTypes.Fail
- "Rewrite: the argument is not a proof of an equality")
- in
- let pred =
- let gty' = CicSubstitution.lift 1 gty in
- let t1' = CicSubstitution.lift 1 t1 in
- let gty'' =
- ProofEngineReduction.replace_lifting
- ~equality:ProofEngineReduction.alpha_equivalence
- ~what:t1' ~with_what:(C.Rel 1) ~where:gty'
- in
- C.Lambda (C.Name "dummy_for_rewrite", ty, gty'')
- in
-prerr_endline ("#### Sintetizzato: " ^ CicPp.ppterm pred);
- let fresh_meta = ProofEngineHelpers.new_meta proof in
- let irl =
- ProofEngineHelpers.identity_relocation_list_for_metavariable context in
- let metasenv' = (fresh_meta,context,C.Appl [pred ; t2])::metasenv in
-
- let (proof',goals) =
- PrimitiveTactics.exact_tac
- ~term:(C.Appl
- [eq_ind_r ; ty ; t2 ; pred ; C.Meta (fresh_meta,irl) ; t1 ;equality])
- ~status:((curi,metasenv',pbo,pty),goal)
- in
- assert (List.length goals = 0) ;
- (proof',[fresh_meta])
-;;
-
-
-let rewrite_simpl_tac ~term ~status =
- Tacticals.then_ ~start:(rewrite_tac ~term)
- ~continuation:
- (ReductionTactics.simpl_tac ~also_in_hypotheses:false ~term:None)
- ~status
-;;
-
-
-let rewrite_back_tac ~term:equality ~status:(proof,goal) =
- let module C = Cic in
- let module U = UriManager in
- let curi,metasenv,pbo,pty = proof in
- let metano,context,gty = List.find (function (m,_,_) -> m=goal) metasenv in
- let eq_ind_r,ty,t1,t2 =
- match CicTypeChecker.type_of_aux' metasenv context equality with
- C.Appl [C.MutInd (uri,0,[]) ; ty ; t1 ; t2]
- when U.eq uri (U.uri_of_string "cic:/Coq/Init/Logic/eq.ind") ->
- let eq_ind_r =
- C.Const
- (U.uri_of_string "cic:/Coq/Init/Logic/eq_ind.con",[])
- in
- eq_ind_r,ty,t1,t2
- | C.Appl [C.MutInd (uri,0,[]) ; ty ; t1 ; t2]
- when U.eq uri (U.uri_of_string "cic:/Coq/Init/Logic_Type/eqT.ind") ->
- let eqT_ind_r =
- C.Const
- (U.uri_of_string "cic:/Coq/Init/Logic_Type/eqT_ind.con",[])
- in
- eqT_ind_r,ty,t1,t2
- | _ ->
- raise
- (ProofEngineTypes.Fail
- "Rewrite: the argument is not a proof of an equality")
- in
- let pred =
- let gty' = CicSubstitution.lift 1 gty in
- let t1' = CicSubstitution.lift 1 t1 in
- let gty'' =
- ProofEngineReduction.replace_lifting
- ~equality:ProofEngineReduction.alpha_equivalence
- ~what:t1' ~with_what:(C.Rel 1) ~where:gty'
- in
- C.Lambda (C.Name "dummy_for_rewrite", ty, gty'')
- in
-prerr_endline ("#### Sintetizzato: " ^ CicPp.ppterm pred);
- let fresh_meta = ProofEngineHelpers.new_meta proof in
- let irl =
- ProofEngineHelpers.identity_relocation_list_for_metavariable context in
- let metasenv' = (fresh_meta,context,C.Appl [pred ; t2])::metasenv in
-
- let (proof',goals) =
- PrimitiveTactics.exact_tac
- ~term:(C.Appl
- [eq_ind_r ; ty ; t2 ; pred ; C.Meta (fresh_meta,irl) ; t1 ;equality])
- ~status:((curi,metasenv',pbo,pty),goal)
- in
- assert (List.length goals = 0) ;
- (proof',[fresh_meta])
-
-;;
-
-
-let replace_tac ~what ~with_what ~status:((proof, goal) as status) =
- let module C = Cic in
- let module U = UriManager in
- let module P = PrimitiveTactics in
- let module T = Tacticals in
- let _,metasenv,_,_ = proof in
- let _,context,_ = List.find (function (m,_,_) -> m=goal) metasenv in
- let wty = CicTypeChecker.type_of_aux' metasenv context what in
- if (wty = (CicTypeChecker.type_of_aux' metasenv context with_what))
- then T.thens
- ~start:(P.cut_tac ~term:(C.Appl [(C.MutInd ((U.uri_of_string "cic:/Coq/Init/Logic/eq.ind"), 0, [])) ; wty ; what ; with_what]))
- (* quale uguaglianza usare, eq o eqT ? *)
- ~continuations:[
- T.then_
- ~start:(P.intros_tac ~name:"dummy_for_replace")
- ~continuation:(T.then_
- ~start:(rewrite_back_tac ~term:(C.Rel 1)) (* C.Name "dummy_for_replace" *)
- ~continuation:(ProofEngineStructuralRules.clear
- ~hyp:(Some((C.Name "dummy_for_replace") , (C.Def C.Implicit) (* NO!! tipo di dummy *) ))
- )
- ) ;
- T.id_tac]
- ~status
- else raise (ProofEngineTypes.Fail "Replace: terms not replaceable")
-;;
-