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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_rdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_rdeq.ma
new file mode 100644
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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/static/rdeq_rdeq.ma".
+include "basic_2/rt_transition/rpx_fsle.ma".
+
+(* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
+
+(* Properties with degree-based equivalence for local environments **********)
+
+(* Basic_2A1: was just: cpx_lleq_conf_sn *)
+lemma cpx_rdeq_conf_sn: ∀h,o,G. s_r_confluent1 … (cpx h G) (rdeq h o).
+/3 width=6 by cpx_rex_conf/ qed-.
+
+(* Basic_2A1: was just: cpx_lleq_conf_dx *)
+lemma cpx_rdeq_conf_dx: ∀h,o,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ⬈[h] T2 →
+                        ∀L1. L1 ≛[h, o, T1] L2 → L1 ≛[h, o, T2] L2.
+/4 width=4 by cpx_rdeq_conf_sn, rdeq_sym/ qed-.