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[helm.git] / matita / contribs / LOGIC / Track / order.ma

diff --git a/matita/contribs/LOGIC/Track/order.ma b/matita/contribs/LOGIC/Track/order.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 "Insert/fun.ma".
+include "Track/defs.ma".
+
+(* Order properties *********************************************************)
+(*
+theorem track_refl: \forall P. \forall c:Formula. \exists r. 
+                    Track P r (pair c c).
+ intros; elim c; clear c;
+ [ autobatch
+ | lapply (insert_total (pair f f1) zero P); [2:autobatch];
+   decompose; autobatch depth = 5 width = 4 size = 8
+ ].
+qed.
+
+theorem track_trans: \forall P,p,q,A,B. \forall c:Formula.
+                     Track P p (pair A c) \to Track P q (pair c B) \to
+                     \exists r. Track P r (pair A B).
+ intros; autobatch.
+qed.
+*)