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 1c7308836f523f990bd2d046f9e6e5dc7e29260a..3941ab0cb4d1e1d53cbc0be4b6fc64a921864714 100644 (file)
--- a/helm/matita/tests/rewrite.ma
+++ b/helm/matita/tests/rewrite.ma
@@ -1,25 +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".
 
-(* with the unary [[ - ]] we point the term that the path refers to *)
+
 theorem a:
   \forall a,b:nat.
-  a = b \to a + b = ((\lambda w.((\lambda x.x + b) a)) b).
+  a = b \to b + a + b + a= (\lambda j.((\lambda w.((\lambda x.x + b + w + j) a)) b)) a.
 intros.
+rewrite < H in \vdash (? ? ? ((\lambda j.((\lambda w.%) ?)) ?)).
 
-(* a + b = (\w.(\x. [[ x + b ]] ) a) b *)
-rewrite right H in \vdash (? ? ? ((\lambda x.%) ?)).
-
-(* [[ a + b ]] = (\w.(\x.x + a) a) b *)
-rewrite right H in \vdash (? ? % ?).
+rewrite < H in \vdash (? ? % ?).
 
-(* a + a = (\w. [[ (\x.x + a) a ]] b *)
-simplify in \vdash (? ? ? ((\lambda x.%) ?)).
+simplify in \vdash (? ? ? ((\lambda _.((\lambda _.%) ?)) ?)).
 
-(* a + a = (\w.a + a) [[ b ]] *)
-rewrite right H in \vdash (? ? ? (? %)).
+rewrite < H in \vdash (? ? ? (% ?)).
 simplify.
 reflexivity.
 qed.
+