matita/matita/contribs/lambdadelta/static_2/static/feqg_fqup.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_fqup.ma".
  16 include "static_2/static/feqg.ma".
  17
  18 (* GENERIC EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES *********************)
  19
  20 (* Properties with generic equivalence for terms ****************************)
  21
  22 lemma teqg_feqg (S):
  23       reflexive … S →
  24       ∀T1,T2. T1 ≛[S] T2 →
  25       ∀G,L. ❪G,L,T1❫ ≛[S] ❪G,L,T2❫.
  26 /3 width=1 by feqg_intro_sn, reqg_refl/ qed.
  27
  28 (* Advanced properties ******************************************************)
  29
  30 lemma feqg_refl (S):
  31       reflexive … S →
  32       tri_reflexive … (feqg S).
  33 /3 width=1 by teqg_refl, teqg_feqg/ qed.