matita/matita/contribs/lambdadelta/static_2/syntax/teqx_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 (*
  16 include "static_2/notation/relations/approxeq_3.ma".
  17 *)
  18 include "static_2/syntax/teqg_ext.ma".
  19 include "static_2/syntax/teqx.ma".
  20
  21 (* EXTENDED SORT-IRRELEVANT EQUIVALENCE *************************************)
  22 (*
  23 definition teqx_ext: relation bind ≝
  24            teqg_ext sfull.
  25
  26 definition ceqx: relation3 lenv term term ≝
  27            ceqg sfull.
  28 *)
  29 definition ceqx_ext: relation3 lenv bind bind ≝
  30            ceqg_ext sfull.
  31 (*
  32 interpretation
  33   "context-free sort-irrelevant equivalence (binder)"
  34   'StarEq I1 I2 = (teqx_ext I1 I2).
  35
  36 interpretation
  37   "context-dependent sort-irrelevant equivalence (term)"
  38   'StarEq L T1 T2 = (cdeq L T1 T2).
  39
  40 interpretation
  41   "context-dependent sort-irrelevant equivalence (binder)"
  42   'ApproxEq L I1 I2 = (cdeq_ext L I1 I2).
  43 *)