matita/matita/contribs/lambdadelta/static_2/syntax/tdeq_ext.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/stareq_3.ma".
  16 include "static_2/syntax/cext2.ma".
  17 include "static_2/syntax/tdeq.ma".
  18
  19 (* EXTENDED SORT-IRRELEVANT EQUIVALENCE *************************************)
  20
  21 definition tdeq_ext: relation bind ≝
  22                      ext2 tdeq.
  23
  24 definition cdeq: relation3 lenv term term ≝
  25                  λL. tdeq.
  26
  27 definition cdeq_ext: relation3 lenv bind bind ≝
  28                      cext2 cdeq.
  29
  30 interpretation
  31    "context-free sort-irrelevant equivalence (binder)"
  32    'StarEq I1 I2 = (tdeq_ext I1 I2).
  33
  34 interpretation
  35    "context-dependent sort-irrelevant equivalence (term)"
  36    'StarEq L T1 T2 = (cdeq L T1 T2).
  37
  38 interpretation
  39    "context-dependent sort-irrelevant equivalence (binder)"
  40    'StarEq L I1 I2 = (cdeq_ext L I1 I2).