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[helm.git] / matita / tests / decompose.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 "logic/connectives.ma".
+
+theorem stupid: 
+  \forall a,b,c:Prop.
+  (a \land c \lor b \land c) \to (c \land (b \lor a)).
+  intros.decompose.split.assumption.right.assumption.
+  split.assumption.left.assumption.qed.
+
+definition MyFalse \def False.
+
+theorem ex_falso_quodlibet: \forall (P:Prop). MyFalse \to P.
+ intros. decompose.
+qed.