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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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+(* STATO: NON COMPILA: dev'essere aggiornato *)
+
+set "baseuri" "cic:/matita/PREDICATIVE-TOPOLOGY/class_eq".
+
+include "class_defs.ma".
+
+theorem ceq_trans: \forall C. \xforall c1,c2. ceq C c1 c2 \to 
+                   \xforall c3. ceq ? c2 c3 \to ceq ? c1 c3.
+intros.
+
+(*
+apply ceq_intro; apply cle_trans; [|auto new timeout=100|auto new timeout=100||auto new timeout=100|auto new timeout=100].
+qed.
+
+theorem ceq_sym: \forall C,c1,c2. ceq C c1 c2 \to ceq C c2 c1.
+intros; elim H; clear H.; auto new timeout=100.
+qed.
+*)