matita/matita/contribs/lambdadelta/static_2/static/rdeq_req.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/req_fsle.ma".
  16 include "static_2/static/rdeq.ma".
  17
  18 (* SORT-IRRELEVANT EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES ***)
  19
  20 (* Properties with syntactic equivalence on referred entries ****************)
  21
  22 lemma req_rdeq: ∀L1,L2. ∀T:term. L1 ≡[T] L2 → L1 ≛[T] L2.
  23 /2 width=3 by rex_co/ qed.
  24
  25 lemma req_rdeq_trans: ∀L1,L. ∀T:term. L1 ≡[T] L →
  26                       ∀L2. L ≛[T] L2 → L1 ≛[T] L2.
  27 /2 width=3 by req_rex_trans/ qed-.