helm/matita/contribs/PREDICATIVE-TOPOLOGY/qd_defs.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 set "baseuri" "cic:/matita/PREDICATIVE-TOPOLOGY/qd_defs".
  16
  17 include "ac_defs.ma".
  18
  19 (* QUANTIFICATION DOMAINS
  20 *)
  21
  22 record QD: Type \def {
  23    qd: AC
  24 }.
  25
  26 coercion qd.
  27
  28 (* se togli il D da acin D a non ce la fa ancora *)
  29 inductive iall (D:QD) (P:D \to Prop) : Prop \def
  30    | iall_intro: (\forall a:D. acin D a \to P a) \to iall D P.