X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fmatita%2Ftests%2Frewrite.ma;h=a69e33d77c73915f30470fb3f11537df0695b1fc;hb=4167cea65ca58897d1a3dbb81ff95de5074700cc;hp=71a7514fa1f519e5b4c1f085d3b34db31e4393a8;hpb=cec61c8b027b15b98d308cee8900d9cf35a02d28;p=helm.git diff --git a/helm/matita/tests/rewrite.ma b/helm/matita/tests/rewrite.ma index 71a7514fa..a69e33d77 100644 --- a/helm/matita/tests/rewrite.ma +++ b/helm/matita/tests/rewrite.ma @@ -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 +47,18 @@ 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. + +theorem test_rewrite_in_hyp2: + \forall n,m. n + 0 = m \to n + 0 = m \to n=m \land n+0=m. + intros. + rewrite < plus_n_O in H H1 \vdash (? ? %). + split; [ exact H | exact H1]. +qed.