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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 id "O" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1/1)".
+alias id "S" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1/2)".
+alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
+alias symbol "eq" (instance 0) = "Coq's leibnitz's equality".
+alias symbol "minus" (instance 0) = "Coq's natural minus".
+alias symbol "plus" (instance 0) = "Coq's natural plus".
+alias symbol "times" (instance 0) = "Coq's natural times".
+theorem a : \forall x,y:nat. x*x+(S y) = O - x.
+intros.
+auto new depth = 4 width = 3 use_paramod = false.