From: Enrico Tassi <enrico.tassi@inria.fr>
Date: Mon, 5 Sep 2005 15:24:21 +0000 (+0000)
Subject: simplify and let-in
X-Git-Tag: V_0_1_2_1~101
X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=commitdiff_plain;h=4ac4b8de35d8c4167819acf3d876e69cbd3cfb17;p=helm.git

simplify and let-in
---

diff --git a/helm/matita/tests/simpl.ma b/helm/matita/tests/simpl.ma
index dbc4e9c06..2a860e190 100644
--- a/helm/matita/tests/simpl.ma
+++ b/helm/matita/tests/simpl.ma
@@ -15,8 +15,13 @@
 set "baseuri" "cic:/matita/tests/simpl/".
 include "coq.ma".
 
-alias id "not" = "cic:/Coq/Init/Logic/not.con".
 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.
@@ -27,3 +32,17 @@ intro. apply H.
 symmetry.
 exact H1.
 qed.
+
+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. 
+ 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.
+ 
+theorem R: \forall x:nat. let uno \def x + O in S O + uno = 1 + x.
+ intros. simplify.
+  change in \vdash (? ? (? %) ?) with x + O.
+  rewrite > plus_comm. reflexivity. qed.
+