matita/matita/contribs/lambdadelta/static_2/static/feqx.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/notation/relations/approxeqsn_6.ma".
  16 include "static_2/static/reqx.ma".
  17 include "static_2/static/feqg.ma".
  18
  19 (* SORT-IRRELEVANT EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES *************)
  20 (*
  21 definition feqx: relation6 genv lenv term genv lenv term ≝
  22            feqg sfull.
  23 *)
  24 interpretation
  25   "sort-irrelevant equivalence on referred entries (closure)"
  26   'ApproxEqSn G1 L1 T1 G2 L2 T2 = (feqg sfull G1 L1 T1 G2 L2 T2).
  27
  28 (* Basic_properties *********************************************************)
  29
  30 lemma feqg_feqx (S) (G1) (G2) (L1) (L2) (T1) (T2):
  31       ❪G1,L1,T1❫ ≛[S] ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≅ ❪G2,L2,T2❫.
  32 #S #G1 #G2 #L1 #L2 #T1 #T2 #H
  33 elim (feqg_inv_gen_sn … H) -H
  34 /3 width=2 by feqg_intro_sn, reqg_reqx, teqg_teqx/
  35 qed.