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[helm.git] / matita / contribs / LOGIC / PRed / wlt.ma

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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+
+
+(**)
+
+include "PEq/defs.ma".
+include "PRed/defs.ma".
+include "WLT/defs.ma".
+(*
+theorem pred_wlt: \forall p1,p2,Q1,Q2,S.
+                  [Q1, p1, S] => [Q2, p2, S] \to \lnot [Q1, p1] = [Q2, p2] \to
+                  [Q2, p2] < [Q1, p1].
+ intros 6; elim H; clear H;
+ [ unfold Not in H1; lapply linear depth = 1 H1;
+   [ decompose | autobatch ]
+*)