helm/software/matita/contribs/LAMBDA-TYPES/Unified/Inc/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/LAMBDA-TYPES/Unified/Inc/defs".
  16
  17 (* DISPLACEMENT INCREMENT RELATION
  18 *)
  19
  20 include "logic/equality.ma".
  21
  22 include "P/defs.ma".
  23
  24 inductive Inc (i:Nat): Bool \to Head \to Nat \to Prop \def
  25    | inc_bind: \forall x. Inc i true (bind x) (succ i)
  26    | inc_flat: \forall y. Inc i true (flat y) i
  27    | inc_neg : \forall z. Inc i false z i
  28 .