matita/library/higher_order_defs/ordering.ma

   1 (**************************************************************************)
   2 (*       ___                                                                *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||       A.Asperti, C.Sacerdoti Coen,                          *)
   8 (*      ||A||       E.Tassi, S.Zacchiroli                                 *)
   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU Lesser General Public License Version 2.1         *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 set "baseuri" "cic:/matita/higher_order_defs/ordering/".
  16
  17 include "logic/equality.ma".
  18
  19 definition antisymmetric: \forall A:Type.\forall R:A \to A \to Prop.Prop
  20 \def
  21 \lambda A.\lambda R.\forall x,y:A.R x y \to R y x \to x=y.
  22