]> matita.cs.unibo.it Git - helm.git/blob - matita/matita/contribs/LOGIC/NTrack/order.ma
Stuff moved from old Matita.
[helm.git] / matita / matita / contribs / LOGIC / NTrack / order.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
16
17 include "Track/order.ma".
18 include "NTrack/props.ma".
19
20 (* Order properties *********************************************************)
21 (*
22 theorem ntrack_refl: \forall P. \forall c:Formula. \exists r. 
23                      NTrack P r (pair c c).
24  intros; elim c; clear c;
25  [ autobatch
26  | lapply (insert_total (pair f f1) zero P); [2:autobatch];
27    decompose; autobatch depth = 5 width = 4 size = 8
28  ].
29 qed.
30 (*
31 theorem ntrack_trans: \forall p,q,A,B. \forall c:Formula.
32                       NTrack leaf p (pair A c) \to NTrack leaf q (pair c B) \to
33                       \exists r. NTrack leaf r (pair A B).
34  intros;
35  lapply linear ntrack_track to H as H0;
36  lapply linear ntrack_track to H1 as H;
37  lapply linear track_trans to H0, H as H1; decompose;
38 *)
39 *)