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[helm.git] / helm / matita / tests / assumption.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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+set "baseuri" "cic:/matita/tests/assumption".
+include "legacy/coq.ma".
+
+alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
+alias num (instance 0) = "natural number".
+alias symbol "and" (instance 0) = "Coq's logical and".
+alias symbol "eq" (instance 0) = "Coq's leibnitz's equality".
+alias symbol "plus" (instance 0) = "Coq's natural plus".
+
+
+theorem stupid:
+  \forall a: 0 = 0.
+  \forall b: 3 + 2 = 5.
+  \forall c: (\lambda x:nat.x) 3 = 3.
+  0=0 \land 3 + 2 = 5 \land 3 = 3.
+intros.
+split.
+split.
+clear H2. clear H1. 
+assumption.
+clear H.
+assumption.
+assumption.
+qed.
+