From: Enrico Tassi <enrico.tassi@inria.fr>
Date: Mon, 27 Jun 2005 10:45:18 +0000 (+0000)
Subject: more complex
X-Git-Tag: INDEXING_NO_PROOFS~56
X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=commitdiff_plain;h=abebcd2bf6ea9a97a1ae8f11a1aeb5d500a1e75d;p=helm.git

more complex
---

diff --git a/helm/matita/tests/rewrite.ma b/helm/matita/tests/rewrite.ma
index 1c7308836..72e80987d 100644
--- a/helm/matita/tests/rewrite.ma
+++ b/helm/matita/tests/rewrite.ma
@@ -3,23 +3,18 @@ alias num (instance 0) = "natural number".
 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 right 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 (? ? % ?).
 
-(* a + a = (\w. [[ (\x.x + a) a ]] b *)
-simplify in \vdash (? ? ? ((\lambda x.%) ?)).
+simplify in \vdash (? ? ? ((\lambda x.((\lambda y.%) ?)) ?)).
 
-(* a + a = (\w.a + a) [[ b ]] *)
-rewrite right H in \vdash (? ? ? (? %)).
+rewrite right H in \vdash (? ? ? (% ?)).
 simplify.
 reflexivity.
 qed.