matita/matita/contribs/lambdadelta/basic_2/syntax/tdeq_ext.ma

   1 (**************************************************************************)
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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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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 "basic_2/syntax/tdeq.ma".
  16 include "basic_2/syntax/lenv_ext2.ma".
  17
  18 (* EXTENDED DEGREE-BASED EQUIVALENCE ****************************************)
  19
  20 definition cdeq: ∀h. sd h → relation3 lenv term term ≝
  21                  λh,o,L. tdeq h o.
  22
  23 definition tdeq_ext: ∀h. sd h → relation bind ≝
  24                      λh,o. ext2 (tdeq h o).
  25
  26 definition cdeq_ext: ∀h. sd h → relation3 lenv bind bind ≝
  27                      λh,o. cext2 (cdeq h o).
  28
  29 interpretation
  30    "degree-based equivalence (binder)"
  31    'LazyEq h o I1 I2 = (tdeq_ext h o I1 I2).