version 0.7.1

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

diff --git a/helm/matita/tests/rewrite.ma b/helm/matita/tests/rewrite.ma
index 82f245185a8da9fe81c83783ab18a1977b81cf15..3941ab0cb4d1e1d53cbc0be4b6fc64a921864714 100644 (file)
--- a/helm/matita/tests/rewrite.ma
+++ b/helm/matita/tests/rewrite.ma
@@ -1,11 +1,23 @@
+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".
+
+
 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.
-qed.
\ No newline at end of file
+rewrite < H in \vdash (? ? ? ((\lambda j.((\lambda w.%) ?)) ?)).
+
+rewrite < H in \vdash (? ? % ?).
+
+simplify in \vdash (? ? ? ((\lambda _.((\lambda _.%) ?)) ?)).
+
+rewrite < H in \vdash (? ? ? (% ?)).
+simplify.
+reflexivity.
+qed.
+