X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Focaml%2Ftactics%2FequalityTactics.ml;h=a649d4a23e2df518e77f37f96662fd02a3fb718e;hb=a864255e782859e2b3b7da08297f5d3fe2ee710d;hp=48d5ea9a63e705780a49784989a59148d852c0b6;hpb=f5b6be7239a35e1d0aba504605b5a0df5cf06726;p=helm.git diff --git a/helm/ocaml/tactics/equalityTactics.ml b/helm/ocaml/tactics/equalityTactics.ml index 48d5ea9a6..a649d4a23 100644 --- a/helm/ocaml/tactics/equalityTactics.ml +++ b/helm/ocaml/tactics/equalityTactics.ml @@ -23,132 +23,133 @@ * http://cs.unibo.it/helm/. *) - -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 = CicUtil.lookup_meta 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 - (ProofEngineHelpers.mk_fresh_name context C.Anonymous ty, ty, gty'') +let rewrite_tac ~term:equality = + let rewrite_tac ~term:equality (proof,goal) = + let module C = Cic in + let module U = UriManager in + let curi,metasenv,pbo,pty = proof in + let metano,context,gty = CicUtil.lookup_meta 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 HelmLibraryObjects.Logic.eq_URI -> + let eq_ind_r = + C.Const + (HelmLibraryObjects.Logic.eq_ind_r_URI,[]) + in + eq_ind_r,ty,t1,t2 + | _ -> + raise + (ProofEngineTypes.Fail + "Rewrite: the argument is not a proof of an equality") in - let fresh_meta = ProofEngineHelpers.new_meta_of_proof proof in - let irl = CicMkImplicit.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) + 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 + (FreshNamesGenerator.mk_fresh_name metasenv context C.Anonymous ty, + ty, gty'') in - assert (List.length goals = 0) ; - (proof',[fresh_meta]) + let fresh_meta = ProofEngineHelpers.new_meta_of_proof proof in + let irl =CicMkImplicit.identity_relocation_list_for_metavariable context in + let metasenv' = (fresh_meta,context,C.Appl [pred ; t2])::metasenv in + + let (proof',goals) = + ProofEngineTypes.apply_tactic + (PrimitiveTactics.exact_tac + ~term:(C.Appl + [eq_ind_r ; ty ; t2 ; pred ; C.Meta (fresh_meta,irl) ; t1 ;equality])) ((curi,metasenv',pbo,pty),goal) + in + assert (List.length goals = 0) ; + (proof',[fresh_meta]) + in + ProofEngineTypes.mk_tactic (rewrite_tac ~term:equality) ;; -let rewrite_simpl_tac ~term ~status = - Tacticals.then_ - ~start:(rewrite_tac ~term) - ~continuation: - (ReductionTactics.simpl_tac ~also_in_hypotheses:false ~terms:None) - ~status +let rewrite_simpl_tac ~term = + let rewrite_simpl_tac ~term status = + ProofEngineTypes.apply_tactic + (Tacticals.then_ + ~start:(rewrite_tac ~term) + ~continuation: + (ReductionTactics.simpl_tac ~also_in_hypotheses:false ~terms:None)) + status + in + ProofEngineTypes.mk_tactic (rewrite_simpl_tac ~term) ;; -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 = CicUtil.lookup_meta 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,t2,t1 - | 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,t2,t1 - | _ -> - 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 - (ProofEngineHelpers.mk_fresh_name context C.Anonymous ty, ty, gty'') +let rewrite_back_tac ~term:equality = + let rewrite_back_tac equality (proof,goal) = + let module C = Cic in + let module U = UriManager in + let curi,metasenv,pbo,pty = proof in + let metano,context,gty = CicUtil.lookup_meta 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 HelmLibraryObjects.Logic.eq_URI -> + let eq_ind_r = + C.Const (HelmLibraryObjects.Logic.eq_ind_URI,[]) + in + eq_ind_r,ty,t2,t1 + | _ -> + raise + (ProofEngineTypes.Fail + "Rewrite: the argument is not a proof of an equality") in - let fresh_meta = ProofEngineHelpers.new_meta_of_proof proof in - let irl = - CicMkImplicit.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) + 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 + (FreshNamesGenerator.mk_fresh_name metasenv context C.Anonymous ty, + ty, gty'') in - assert (List.length goals = 0) ; - (proof',[fresh_meta]) - + let fresh_meta = ProofEngineHelpers.new_meta_of_proof proof in + let irl = + CicMkImplicit.identity_relocation_list_for_metavariable context in + let metasenv' = (fresh_meta,context,C.Appl [pred ; t2])::metasenv in + + let (proof',goals) = + ProofEngineTypes.apply_tactic + (PrimitiveTactics.exact_tac + ~term:(C.Appl + [eq_ind_r ; ty ; t2 ; pred ; C.Meta (fresh_meta,irl) ; t1 ;equality])) + ((curi,metasenv',pbo,pty),goal) + in + assert (List.length goals = 0) ; + (proof',[fresh_meta]) + in + ProofEngineTypes.mk_tactic (rewrite_back_tac equality) ;; -let rewrite_back_simpl_tac ~term ~status = - Tacticals.then_ - ~start:(rewrite_back_tac ~term) - ~continuation: - (ReductionTactics.simpl_tac ~also_in_hypotheses:false ~terms:None) - ~status +let rewrite_back_simpl_tac ~term = + let rewrite_back_simpl_tac ~term status = + ProofEngineTypes.apply_tactic + (Tacticals.then_ + ~start:(rewrite_back_tac ~term) + ~continuation: + (ReductionTactics.simpl_tac ~also_in_hypotheses:false ~terms:None)) + status + in + ProofEngineTypes.mk_tactic (rewrite_back_simpl_tac ~term) ;; - -let replace_tac ~what ~with_what ~status:((proof, goal) as status) = +let replace_tac ~what ~with_what = + let replace_tac ~what ~with_what status = + let (proof, goal) = status in let module C = Cic in let module U = UriManager in let module P = PrimitiveTactics in @@ -159,19 +160,12 @@ let replace_tac ~what ~with_what ~status:((proof, goal) as status) = try if (wty = (CicTypeChecker.type_of_aux' metasenv context with_what)) then - let equality = - match CicTypeChecker.type_of_aux' metasenv context wty with - C.Sort C.Set -> "cic:/Coq/Init/Logic/eq.ind" - | C.Sort C.Type - | C.Sort C.CProp - | C.Sort C.Prop -> "cic:/Coq/Init/Logic_Type/eqT.ind" - | _ -> assert false - in - T.thens + ProofEngineTypes.apply_tactic + (T.thens ~start:( P.cut_tac (C.Appl [ - (C.MutInd ((U.uri_of_string equality), 0, [])) ; + (C.MutInd (HelmLibraryObjects.Logic.eq_URI, 0, [])) ; wty ; what ; with_what])) @@ -181,10 +175,13 @@ let replace_tac ~what ~with_what ~status:((proof, goal) as status) = ~continuation:( ProofEngineStructuralRules.clear ~hyp:(List.hd context)) ; - T.id_tac] - ~status + T.id_tac]) + status else raise (ProofEngineTypes.Fail "Replace: terms not replaceable") - with (Failure "hd") -> raise (ProofEngineTypes.Fail "Replace: empty context") + with (Failure "hd") -> + raise (ProofEngineTypes.Fail "Replace: empty context") + in + ProofEngineTypes.mk_tactic (replace_tac ~what ~with_what) ;; @@ -194,27 +191,29 @@ let reflexivity_tac = IntroductionTactics.constructor_tac ~n:1 ;; - -let symmetry_tac ~status:(proof, goal) = +let symmetry_tac = + let symmetry_tac (proof, goal) = let module C = Cic in let module R = CicReduction in let module U = UriManager in let (_,metasenv,_,_) = proof in let metano,context,ty = CicUtil.lookup_meta goal metasenv in match (R.whd context ty) with - (C.Appl [(C.MutInd (uri, 0, [])); _; _; _]) when (U.eq uri (U.uri_of_string "cic:/Coq/Init/Logic/eq.ind")) -> - PrimitiveTactics.apply_tac ~status:(proof,goal) - ~term: (C.Const (U.uri_of_string "cic:/Coq/Init/Logic/sym_eq.con", [])) - - | (C.Appl [(C.MutInd (uri, 0, [])); _; _; _]) when (U.eq uri (U.uri_of_string "cic:/Coq/Init/Logic_Type/eqT.ind")) -> - PrimitiveTactics.apply_tac ~status:(proof,goal) - ~term: (C.Const (U.uri_of_string "cic:/Coq/Init/Logic_Type/sym_eqT.con", [])) + (C.Appl [(C.MutInd (uri, 0, [])); _; _; _]) + when (U.eq uri HelmLibraryObjects.Logic.eq_URI) -> + ProofEngineTypes.apply_tactic + (PrimitiveTactics.apply_tac + ~term: (C.Const (HelmLibraryObjects.Logic.sym_eq_URI, []))) + (proof,goal) | _ -> raise (ProofEngineTypes.Fail "Symmetry failed") + in + ProofEngineTypes.mk_tactic symmetry_tac ;; - -let transitivity_tac ~term ~status:((proof, goal) as status) = +let transitivity_tac ~term = + let transitivity_tac ~term status = + let (proof, goal) = status in let module C = Cic in let module R = CicReduction in let module U = UriManager in @@ -222,23 +221,19 @@ let transitivity_tac ~term ~status:((proof, goal) as status) = let (_,metasenv,_,_) = proof in let metano,context,ty = CicUtil.lookup_meta goal metasenv in match (R.whd context ty) with - (C.Appl [(C.MutInd (uri, 0, [])); _; _; _]) when (uri = (U.uri_of_string "cic:/Coq/Init/Logic/eq.ind")) -> - T.thens - ~start:(PrimitiveTactics.apply_tac - ~term: (C.Const (U.uri_of_string "cic:/Coq/Init/Logic/trans_eq.con", []))) - ~continuations: - [PrimitiveTactics.exact_tac ~term ; T.id_tac ; T.id_tac] - ~status - - | (C.Appl [(C.MutInd (uri, 0, [])); _; _; _]) when (uri = (U.uri_of_string "cic:/Coq/Init/Logic_Type/eqT.ind")) -> - T.thens + (C.Appl [(C.MutInd (uri, 0, [])); _; _; _]) + when (uri = HelmLibraryObjects.Logic.eq_URI) -> + ProofEngineTypes.apply_tactic + (T.thens ~start:(PrimitiveTactics.apply_tac - ~term: (C.Const (U.uri_of_string "cic:/Coq/Init/Logic_Type/trans_eqT.con", []))) + ~term: (C.Const (HelmLibraryObjects.Logic.trans_eq_URI, []))) ~continuations: - [T.id_tac ; T.id_tac ; PrimitiveTactics.exact_tac ~term] - ~status + [PrimitiveTactics.exact_tac ~term ; T.id_tac ; T.id_tac]) + status | _ -> raise (ProofEngineTypes.Fail "Transitivity failed") + in + ProofEngineTypes.mk_tactic (transitivity_tac ~term) ;;