X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fmatita%2Ftests%2Fsimpl.ma;h=89812286985c0080428f038b205a8375ed28cd1b;hb=771ee8b9d122fa963881c876e86f90531bb7434f;hp=1001d2351f0b97a50da92ef8a48cad25b17b4c47;hpb=400b07e007cfbb0b4ce5ed77cfc50f227c491310;p=helm.git diff --git a/helm/matita/tests/simpl.ma b/helm/matita/tests/simpl.ma index 1001d2351..898122869 100644 --- a/helm/matita/tests/simpl.ma +++ b/helm/matita/tests/simpl.ma @@ -13,7 +13,7 @@ (**************************************************************************) set "baseuri" "cic:/matita/tests/simpl/". -include "coq.ma". +include "legacy/coq.ma". alias symbol "eq" (instance 0) = "Coq's leibnitz's equality". alias id "plus" = "cic:/Coq/Init/Peano/plus.con". @@ -23,27 +23,15 @@ alias id "not" = "cic:/Coq/Init/Logic/not.con". alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)". alias id "plus_comm" = "cic:/Coq/Arith/Plus/plus_comm.con". -theorem a : - \forall A:Set. - \forall x,y : A. - not (x = y) \to not(y = x). -intros. -unfold not. (* simplify. *) -intro. apply H. -symmetry. -exact H1. -qed. - theorem t: let f \def \lambda x,y. x y in f (\lambda x.S x) O = S O. - intros. simplify. change in \vdash (? ? (? %) ?) with O. + intros. simplify. change in \vdash (? ? (? ? %) ?) with O. reflexivity. qed. - theorem X: \forall x:nat. let myplus \def plus x in myplus (S O) = S x. intros. simplify. change in \vdash (? ? (% ?) ?) with (plus x). rewrite > plus_comm. reflexivity. qed. - + theorem R: \forall x:nat. let uno \def x + O in S O + uno = 1 + x. intros. simplify. change in \vdash (? ? (? %) ?) with (x + O).