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[helm.git] / matita / tests / absurd.ma

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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+
+include "coq.ma".
+alias num (instance 0) = "natural number".
+alias symbol "eq" (instance 0) = "Coq's leibnitz's equality".
+alias id "not" = "cic:/Coq/Init/Logic/not.con".
+
+theorem stupid : \forall a:Prop. a \to not a \to 0 = 1.
+intros.
+absurd a.
+assumption.
+assumption.
+qed.