matita/matita/contribs/lambdadelta/static_2/syntax/teqg_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_4.ma".
  16 include "static_2/syntax/cext2.ma".
  17 include "static_2/syntax/teqg.ma".
  18
  19 (* GENERIC EQUIVALENCE ******************************************************)
  20
  21 definition teqg_ext (S): relation bind ≝
  22            ext2 (teqg S).
  23
  24 definition ceqg (S): relation3 lenv term term ≝
  25            λL. (teqg S).
  26
  27 definition ceqg_ext (S): relation3 lenv bind bind ≝
  28            cext2 (ceqg S).
  29
  30 interpretation
  31   "context-free generic equivalence (binder)"
  32   'StarEq S I1 I2 = (teqg_ext S I1 I2).
  33
  34 interpretation
  35   "context-dependent generic equivalence (term)"
  36   'StarEq S L T1 T2 = (ceqg S L T1 T2).
  37
  38 interpretation
  39   "context-dependent generic equivalence (binder)"
  40   'StarEq S L I1 I2 = (ceqg_ext S L I1 I2).