matita/matita/contribs/lambdadelta/basic_2/etc/lsubsv/lsubsv_cpcs.etc

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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   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 "basic_2/equivalence/cpcs_cpcs.ma".
  16 include "basic_2/dynamic/lsubsv.ma".
  17
  18 (* LOCAL ENVIRONMENT REFINEMENT FOR STRATIFIED NATIVE VALIDITY **************)
  19
  20 (* Properties on context-sensitive parallel equivalence for terms ***********)
  21
  22 lemma lsubsv_cpcs_trans: ∀h,o,G,L1,L2. G ⊢ L1 ⫃¡[h, o] L2 →
  23                          ∀T1,T2. ⦃G, L2⦄ ⊢ T1 ⬌* T2 → ⦃G, L1⦄ ⊢ T1 ⬌* T2.
  24 /3 width=6 by lsubsv_fwd_lsubr, lsubr_cpcs_trans/
  25 qed-.