matita/contribs/LOGIC/Track/order.ma

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   3 (*      ||M||                                                             *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
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  14
  15
  16
  17 include "Insert/fun.ma".
  18 include "Track/defs.ma".
  19
  20 (* Order properties *********************************************************)
  21 (*
  22 theorem track_refl: \forall P. \forall c:Formula. \exists r.
  23                     Track 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 track_trans: \forall P,p,q,A,B. \forall c:Formula.
  32                      Track P p (pair A c) \to Track P q (pair c B) \to
  33                      \exists r. Track P r (pair A B).
  34  intros; autobatch.
  35 qed.
  36 *)