matita/matita/contribs/LOGIC/NTrack/order.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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   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 *)