]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/matita/tests/rewrite.ma
First draft implementation of rewriting in an hypothesis.
[helm.git] / helm / matita / tests / rewrite.ma
index 71a7514fa1f519e5b4c1f085d3b34db31e4393a8..194dbd17ecedafbf35a4fbf83f973224a2d6a2e8 100644 (file)
@@ -1,4 +1,19 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
 set "baseuri" "cic:/matita/tests/rewrite/".
+include "coq.ma".
 
 alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
 alias num (instance 0) = "natural number".
@@ -32,3 +47,10 @@ theorem foo: \forall n. n = n + 0.
  intros.
  rewrite < t; reflexivity.
 qed.
+
+theorem test_rewrite_in_hyp: \forall n,m. n + 0 = m \to m = n + 0 \to n=m \land m+0=n+0.
+ intros.
+ rewrite < plus_n_O in H.
+ rewrite > plus_n_O in H1.
+ split; [ exact H | exact H1].
+qed.