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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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+(* This file was automatically generated: do not edit *********************)
+
+include "CoRN.ma".
+
+(* $Id: Equiv.v,v 1.4 2004/04/23 10:01:02 lcf Exp $ *)
+
+include "metrics/IR_CPMSpace.ma".
+
+(* UNEXPORTED
+Section equivalent
+*)
+
+(*#* **Equivalent Pseudo Metric Spaces
+*)
+
+(*#*
+We say that two pseudo metric spaces are equivalent, when there exists a 
+bijective, structure-preserving function between them.
+*)
+
+inline procedural "cic:/CoRN/metrics/Equiv/equivalent_psmetric.con" as definition.
+
+inline procedural "cic:/CoRN/metrics/Equiv/isopsmetry.con" as definition.
+
+(* UNEXPORTED
+Implicit Arguments isopsmetry [X Y].
+*)
+
+inline procedural "cic:/CoRN/metrics/Equiv/isopsmetry_imp_bij.con" as lemma.
+
+inline procedural "cic:/CoRN/metrics/Equiv/isopsmetry_imp_lipschitz.con" as lemma.
+
+inline procedural "cic:/CoRN/metrics/Equiv/id_is_isopsmetry.con" as lemma.
+
+inline procedural "cic:/CoRN/metrics/Equiv/comp_resp_isopsmetry.con" as lemma.
+
+inline procedural "cic:/CoRN/metrics/Equiv/inv_isopsmetry.con" as lemma.
+
+inline procedural "cic:/CoRN/metrics/Equiv/MSequivalent.con" as definition.
+
+(*#*
+Not all pseudo metric spaces are equivalent:
+*)
+
+inline procedural "cic:/CoRN/metrics/Equiv/MSequivalent_discr.con" as lemma.
+
+(* UNEXPORTED
+End equivalent
+*)
+