helm/software/matita/contribs/PREDICATIVE-TOPOLOGY/domain_data.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 (* STATO: NON COMPILA: dev'essere aggiornato *)
  16
  17 set "baseuri" "cic:/matita/PREDICATIVE-TOPOLOGY/domain_data".
  18
  19 include "datatypes/constructors.ma".
  20 include "datatypes/bool.ma".
  21 include "domain_defs.ma".
  22
  23 (* QUANTIFICATION DOMAINS
  24    - Here we define some useful domains based on data types
  25 *)
  26
  27 definition DBool : Domain \def
  28    mk_Domain (mk_Class bool (true_f ?) (eq ?)).
  29
  30 definition dbool_ixfam : \forall (C:Class). C \to C \to (DBool \to C) \def
  31    \lambda C,c0,c1,b.
  32    match b in bool with
  33       [ false \Rightarrow c0
  34       | true \Rightarrow c1
  35       ].
  36
  37 definition DVoid : Domain \def
  38    mk_Domain (mk_Class void (true_f ?) (eq ?)).
  39
  40 definition dvoid_ixfam : \forall (C:Class). (DVoid \to C) \def
  41    \lambda C,v.
  42    match v in void with [].