matita/matita/contribs/lambdadelta/static_2/static/feqx.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  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 interpretation
  22   "sort-irrelevant equivalence on referred entries (closure)"
  23   'ApproxEqSn G1 L1 T1 G2 L2 T2 = (feqg sfull G1 L1 T1 G2 L2 T2).
  24
  25 (* Basic_properties *********************************************************)
  26
  27 lemma feqg_feqx (S) (G1) (G2) (L1) (L2) (T1) (T2):
  28       ❪G1,L1,T1❫ ≛[S] ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≅ ❪G2,L2,T2❫.
  29 #S #G1 #G2 #L1 #L2 #T1 #T2 #H
  30 elim (feqg_inv_gen_sn … H) -H
  31 /3 width=2 by feqg_intro_sn, reqg_reqx, teqg_teqx/
  32 qed.