From: Claudio Sacerdoti Coen <claudio.sacerdoticoen@unibo.it>
Date: Fri, 1 Jul 2005 13:10:27 +0000 (+0000)
Subject: An interesting test for replace.
X-Git-Tag: PRE_GETTER_STORAGE~68
X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=commitdiff_plain;h=d6db84901876935c7bb55c3a7393684c69bc5a8f;p=helm.git

An interesting test for replace.
---

diff --git a/helm/matita/tests/replace.ma b/helm/matita/tests/replace.ma
new file mode 100644
index 000000000..776750de2
--- /dev/null
+++ b/helm/matita/tests/replace.ma
@@ -0,0 +1,19 @@
+set "baseuri" "cic:/test".
+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 "plus" (instance 0) = "natural plus".
+alias symbol "times" (instance 0) = "natural times".
+alias id "mult_n_O" = "cic:/Coq/Init/Peano/mult_n_O.con".
+alias id "plus_n_O" = "cic:/Coq/Init/Peano/plus_n_O.con".
+
+theorem t: \forall x:nat. x * (x + 0) = (0 + x) * (x + x * 0).
+ intro.
+ replace in \vdash (? ? (? ? %) (? % %)) with x.
+ reflexivity.
+ rewrite < mult_n_O x.
+ rewrite < plus_n_O x.
+ reflexivity.
+ reflexivity.
+ auto.
+qed.
\ No newline at end of file