matita/matita/contribs/lambdadelta/static_2/static/req_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/reqg_reqg.ma".
  16 include "static_2/static/req.ma".
  17
  18 (* SYNTACTIC EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES *********)
  19
  20 (* Advanced Forward lemmas **************************************************)
  21
  22 lemma req_rex_trans (R) (L) (T):
  23       R_transitive_req R →
  24       ∀L1. L1 ≡[T] L → ∀L2. L ⪤[R,T] L2 → L1 ⪤[R,T] L2.
  25 #R #L #T #HR #L1 #HL1 #L2 #HL2
  26 @(rex_trans_fsle … HL1 … HL2) -L (**) (* fulll auto too slow *)
  27 /3 width=16 by transitive_req_fwd_rex, reqg_fsle_comp, rex_trans_next/
  28 qed-.
  29
  30 lemma req_reqg_trans (S) (T:term) (L):
  31       ∀L1. L1 ≡[T] L → ∀L2. L ≛[S,T] L2 → L1 ≛[S,T] L2.
  32 /2 width=3 by req_rex_trans/ qed-.