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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpr_cpr.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpr_cpr.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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+include "basic_2/rt_transition/lpr_lpr.ma".
+
+(* PARALLEL R-TRANSITION FOR FULL LOCAL ENVIRONMENTS ************************)
+
+(* Main properties **********************************************************)
+
+(* Basic_1: includes: pr0_confluence pr2_confluence *)
+theorem cpr_conf (h) (G) (L): confluent … (cpm h G L 0).
+/2 width=6 by cpr_conf_lpr/ qed-.