X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fmatita%2Ftests%2Fsimpl.ma;h=1001d2351f0b97a50da92ef8a48cad25b17b4c47;hb=4167cea65ca58897d1a3dbb81ff95de5074700cc;hp=2a860e1906078f25b5ae793d107e7fe0370c169b;hpb=4ac4b8de35d8c4167819acf3d876e69cbd3cfb17;p=helm.git

diff --git a/helm/matita/tests/simpl.ma b/helm/matita/tests/simpl.ma
index 2a860e190..1001d2351 100644
--- a/helm/matita/tests/simpl.ma
+++ b/helm/matita/tests/simpl.ma
@@ -20,14 +20,15 @@ alias id "plus" = "cic:/Coq/Init/Peano/plus.con".
 alias id "S" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1/2)".
 alias id "O" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1/1)".
 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.
-simplify.
+unfold not. (* simplify. *)
 intro. apply H.
 symmetry.
 exact H1.
@@ -37,12 +38,14 @@ 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. 
  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.
+ 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.
+  change in \vdash (? ? (? %) ?) with (x + O).
   rewrite > plus_comm. reflexivity. qed.