update in static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpx_reqg.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_reqg.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_reqg.ma
new file mode 100644 (file)
index 0000000..ae75c00
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_reqg.ma
@@ -0,0 +1,32 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/reqg_reqg.ma".
+include "basic_2/rt_transition/rpx_fsle.ma".
+
+(* EXTENDED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS **************)
+
+(* Properties with generic equivalence for local environments ***************)
+
+(* Basic_2A1: was just: cpx_lleq_conf_sn *)
+lemma cpx_reqg_conf_sn (S) (G):
+      s_r_confluent1 … (cpx G) (reqg S).
+/3 width=6 by cpx_rex_conf_sn/ qed-.
+
+(* Basic_2A1: was just: cpx_lleq_conf_dx *)
+lemma cpx_reqg_conf_dx (S) (G) (L2):
+      reflexive … S → symmetric … S →
+      ∀T1,T2. ❪G,L2❫ ⊢ T1 ⬈ T2 →
+      ∀L1. L1 ≛[S,T1] L2 → L1 ≛[S,T2] L2.
+/4 width=4 by cpx_reqg_conf_sn, reqg_sym/ qed-.