branch for universe

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

diff --git a/matita/contribs/LOGIC/NTrack/order.ma b/matita/contribs/LOGIC/NTrack/order.ma
new file mode 100644 (file)
index 0000000..d136c47
--- /dev/null
+++ b/matita/contribs/LOGIC/NTrack/order.ma
@@ -0,0 +1,39 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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 "Track/order.ma".
+include "NTrack/props.ma".
+
+(* Order properties *********************************************************)
+(*
+theorem ntrack_refl: \forall P. \forall c:Formula. \exists r. 
+                     NTrack 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 ntrack_trans: \forall p,q,A,B. \forall c:Formula.
+                      NTrack leaf p (pair A c) \to NTrack leaf q (pair c B) \to
+                      \exists r. NTrack leaf r (pair A B).
+ intros;
+ lapply linear ntrack_track to H as H0;
+ lapply linear ntrack_track to H1 as H;
+ lapply linear track_trans to H0, H as H1; decompose;
+*)
+*)