matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_reqx.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
   8 (*      ||A||         http://helm.cs.unibo.it                             *)
   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 include "static_2/static/reqx_reqx.ma".
  16 include "basic_2/rt_transition/rpx_fsle.ma".
  17
  18 (* EXTENDED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS **************)
  19
  20 (* Properties with sort-irrelevant equivalence for local environments *******)
  21
  22 (* Basic_2A1: was just: cpx_lleq_conf_sn *)
  23 lemma cpx_reqx_conf_sn (G):
  24       s_r_confluent1 … (cpx G) reqx.
  25 /3 width=6 by cpx_rex_conf/ qed-.
  26
  27 (* Basic_2A1: was just: cpx_lleq_conf_dx *)
  28 lemma cpx_reqx_conf_dx (G) (L2):
  29       ∀T1,T2. ❪G,L2❫ ⊢ T1 ⬈ T2 →
  30       ∀L1. L1 ≛[T1] L2 → L1 ≛[T2] L2.
  31 /4 width=5 by cpx_reqx_conf_sn, reqx_sym/ qed-.