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update in static_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc / teqx / cpx_reqx.etc
diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc/teqx/cpx_reqx.etc b/matita/matita/contribs/lambdadelta/basic_2/etc/teqx/cpx_reqx.etc
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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 "static_2/static/reqx_reqx.ma".
+include "basic_2/rt_transition/rpx_fsle.ma".
+
+(* EXTENDED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS **************)
+
+(* Properties with sort-irrelevant equivalence for local environments *******)
+
+(* Basic_2A1: was just: cpx_lleq_conf_sn *)
+lemma cpx_reqx_conf_sn (G):
+      s_r_confluent1 … (cpx G) reqx.
+/3 width=6 by cpx_rex_conf_sn/ qed-.
+
+(* Basic_2A1: was just: cpx_lleq_conf_dx *)
+lemma cpx_reqx_conf_dx (G) (L2):
+      ∀T1,T2. ❪G,L2❫ ⊢ T1 ⬈ T2 →
+      ∀L1. L1 ≛[T1] L2 → L1 ≛[T2] L2.
+/4 width=5 by cpx_reqx_conf_sn, reqx_sym/ qed-.