removed no longer used METAs

[helm.git] / helm / matita / tests / simpl.ma

diff --git a/helm/matita/tests/simpl.ma b/helm/matita/tests/simpl.ma
index 2a860e1906078f25b5ae793d107e7fe0370c169b..89812286985c0080428f038b205a8375ed28cd1b 100644 (file)
--- a/helm/matita/tests/simpl.ma
+++ b/helm/matita/tests/simpl.ma
@@ -13,36 +13,27 @@
 (**************************************************************************)
 
 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".
 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".
-
-
-theorem a : 
- \forall A:Set.
- \forall x,y : A.
- not (x = y) \to not(y = x).
-intros.
-simplify.
-intro. apply H.
-symmetry.
-exact H1.
-qed.
+alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
+alias id "plus_comm" = "cic:/Coq/Arith/Plus/plus_comm.con".
 
 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.
- 
+ 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.