matita/matita/contribs/lambda_delta/basic_2/grammar/lenv.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 "basic_2/grammar/term.ma".
  16
  17 (* LOCAL ENVIRONMENTS *******************************************************)
  18
  19 (* local environments *)
  20 inductive lenv: Type[0] ≝
  21 | LAtom: lenv                       (* empty *)
  22 | LPair: lenv → bind2 → term → lenv (* binary binding construction *)
  23 .
  24
  25 interpretation "sort (local environment)"
  26    'Star = LAtom.
  27
  28 interpretation "environment construction (binary)"
  29    'DxItem2 L I T = (LPair L I T).
  30
  31 interpretation "environment binding construction (binary)"
  32    'DxBind2 L I T = (LPair L I T).
  33
  34 interpretation "abbreviation (local environment)"
  35    'DxAbbr L T = (LPair L Abbr T).
  36
  37 interpretation "abstraction (local environment)"
  38    'DxAbst L T = (LPair L Abst T).
  39
  40 (* Basic_1: removed theorems 2: chead_ctail c_tail_ind *)