X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=helm%2Fmatita%2Ftests%2Frewrite.ma;h=194dbd17ecedafbf35a4fbf83f973224a2d6a2e8;hb=dfbf84276e3183c190a6c7a59689324dccbaa6dc;hp=aa4fa1f3285ad09f7cb64ce287cda697680b3881;hpb=016e4c6fc449b50ac19e73eb952cfb2dc64f4398;p=helm.git diff --git a/helm/matita/tests/rewrite.ma b/helm/matita/tests/rewrite.ma index aa4fa1f32..194dbd17e 100644 --- a/helm/matita/tests/rewrite.ma +++ b/helm/matita/tests/rewrite.ma @@ -1,9 +1,24 @@ +(**************************************************************************) +(* ___ *) +(* ||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". -alias symbol "eq" (instance 0) = "leibnitz's equality". -alias symbol "plus" (instance 0) = "natural plus". +alias symbol "eq" (instance 0) = "Coq's leibnitz's equality". +alias symbol "plus" (instance 0) = "Coq's natural plus". alias id "plus_n_O" = "cic:/Coq/Init/Peano/plus_n_O.con". theorem a: @@ -31,4 +46,11 @@ qed. theorem foo: \forall n. n = n + 0. intros. rewrite < t; reflexivity. -qed. \ No newline at end of file +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.