X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fmatita%2Ftests%2Frewrite.ma;h=aa4fa1f3285ad09f7cb64ce287cda697680b3881;hb=42e7448a9e2eb9c44a336f0f3e56c9249f46fcc6;hp=82f245185a8da9fe81c83783ab18a1977b81cf15;hpb=7fb4b063ed9488bbffa34d1cd193fca6c288a425;p=helm.git

diff --git a/helm/matita/tests/rewrite.ma b/helm/matita/tests/rewrite.ma
index 82f245185..aa4fa1f32 100644
--- a/helm/matita/tests/rewrite.ma
+++ b/helm/matita/tests/rewrite.ma
@@ -1,11 +1,34 @@
+set "baseuri" "cic:/matita/tests/rewrite/".
+
 alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
 alias num (instance 0) = "natural number".
-alias symbol "eq" (instance 0) = "leibnitz's equality".
+alias symbol "eq" (instance 0) = "leibnitz's equality". 
 alias symbol "plus" (instance 0) = "natural plus".
+alias id "plus_n_O" = "cic:/Coq/Init/Peano/plus_n_O.con".
+
 theorem a:
   \forall a,b:nat.
-  a = b \to b + 0 = a.
+  a = b \to b + a + b + a= (\lambda j.((\lambda w.((\lambda x.x + b + w + j) a)) b)) a.
 intros.
-rewrite left H.
-auto.
+rewrite < H in \vdash (? ? ? ((\lambda j.((\lambda w.%) ?)) ?)).
+
+rewrite < H in \vdash (? ? % ?).
+
+simplify in \vdash (? ? ? ((\lambda _.((\lambda _.%) ?)) ?)).
+
+rewrite < H in \vdash (? ? ? (% ?)).
+simplify.
+reflexivity.
+qed.
+ 
+theorem t: \forall n. 0=0 \to n = n + 0.
+ intros.
+ apply plus_n_O.
+qed.
+
+(* In this test "rewrite < t" should open a new goal 0=0 and put it in *)
+(* the goallist so that the THEN tactical closes it using reflexivity. *)
+theorem foo: \forall n. n = n + 0.
+ intros.
+ rewrite < t; reflexivity.
 qed.
\ No newline at end of file