-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")