X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fmatita%2Ftests%2Frewrite.ma;h=a69e33d77c73915f30470fb3f11537df0695b1fc;hb=97c2d258a5c524eb5c4b85208899d80751a2c82f;hp=ebb54f126588f9dd5abb4895a40d6286a155ddc3;hpb=650e3b3c9ff0b9cafb76a0edf8139a53446937ba;p=helm.git diff --git a/helm/matita/tests/rewrite.ma b/helm/matita/tests/rewrite.ma index ebb54f126..a69e33d77 100644 --- a/helm/matita/tests/rewrite.ma +++ b/helm/matita/tests/rewrite.ma @@ -47,3 +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.