X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fmatita%2Ftests%2Fdiscriminate.ma;fp=helm%2Fmatita%2Ftests%2Fdiscriminate.ma;h=d8e4bf2e25a84951c358c1437551c0d5a971d105;hb=792b5d29ebae8f917043d9dd226692919b5d6ca1;hp=0000000000000000000000000000000000000000;hpb=a14a8c7637fd0b95e9d4deccb20c6abc98e8f953;p=helm.git diff --git a/helm/matita/tests/discriminate.ma b/helm/matita/tests/discriminate.ma new file mode 100644 index 000000000..d8e4bf2e2 --- /dev/null +++ b/helm/matita/tests/discriminate.ma @@ -0,0 +1,40 @@ +(**************************************************************************) +(* ___ *) +(* ||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/discriminate". +include "legacy/coq.ma". +alias id "not" = "cic:/Coq/Init/Logic/not.con". +alias num (instance 0) = "natural number". +alias symbol "eq" (instance 0) = "Coq's leibnitz's equality". + +inductive foo: Prop \def I_foo: foo. + +theorem stupid: + 1 = 0 \to (\forall p:Prop. p \to not p). + intros. + generalize in match I_foo. + discriminate H. +qed. + +inductive bar_list (A:Set): Set \def + | bar_nil: bar_list A + | bar_cons: A \to bar_list A \to bar_list A. + +alias id "False" = "cic:/Coq/Init/Logic/False.ind#xpointer(1/1)". +theorem stupid2: + \forall A:Set.\forall x:A.\forall l:bar_list A. + bar_nil A = bar_cons A x l \to False. + intros. + discriminate H. +qed.