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diff --git a/helm/matita/contribs/PREDICATIVE-TOPOLOGY/coa_props.ma b/helm/matita/contribs/PREDICATIVE-TOPOLOGY/coa_props.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/PREDICATIVE-TOPOLOGY/coa_props".
+
+include "coa_defs.ma".
+
+inductive True:Prop \def T:True.
+
+theorem zero_le: 
+  \forall (P:COA). \forall (p:P). (le ? (zero P) p) \to True.
+  intros.
+  exact T.
+qed.
+
+  
+  
+