matita/matita/contribs/lambdadelta/apps_2/etc/MLTT1/syntax.etc

   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 (* MARTIN-LÖF TYPE THEORY WITH ONE UNIVERSE (MLTT1): MATITA SOURCE FILES
  16  * Specification started: 2011 December 12
  17  * - Patience on me to gain peace and perfection! -
  18  *)
  19
  20 include "basic_2/grammar/lenv.ma".
  21 include "apps_2/MLTT1_1/notation.ma".
  22
  23 (* EXTENDED NOTATION ********************************************************)
  24
  25 definition sort ≝ 0.
  26
  27 interpretation
  28   "global definition"
  29   'LAbbr L T = (LPair L Abbr T).
  30
  31 interpretation
  32   "global declaration"
  33   'LAbst L T = (LPair L Abst T).
  34
  35 interpretation
  36   "atom (arity)"
  37   'Box = (TAtom (Sort sort)).
  38
  39 interpretation
  40   "function (arity)"
  41   'TImp T1 T2 = (TPair Abst T1 T2).
  42
  43 interpretation
  44   "function (term)"
  45   'TAbst T = (TPair Abst (TAtom (Sort sort)) T).