1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
19 include "datatypes_props/Sequent.ma".
20 include "Track/inv.ma".
21 include "PRed/defs.ma".
23 theorem track_pred: \forall Q1,Q2,p1,p2,S1,S2. [Q1, p1, S1] => [Q2, p2, S2] \to
24 Track Q1 p1 S1 \to Track Q2 p2 S2.
25 intros 7; elim H; clear H Q1 Q2 p1 p2 S1 S2;
28 | lapply linear track_inv_impw to H3; decompose; destruct; autobatch
29 | lapply linear track_inv_impr to H3; decompose; destruct; autobatch
30 | lapply linear track_inv_impi to H7; decompose; destruct; autobatch size = 7
31 | lapply linear track_inv_scut to H5; decompose; destruct; autobatch
32 | lapply linear track_inv_scut to H4; decompose; destruct;
33 lapply linear track_inv_lref to H6; decompose; autobatch
34 | lapply linear track_inv_scut to H4; decompose; destruct;
35 lapply linear track_inv_lref to H5; decompose; autobatch
36 | lapply linear track_inv_scut to H3; decompose; destruct;
37 lapply linear track_inv_prin to H5; destruct;
38 lapply linear rinj_inj to Hcut1; destruct; autobatch
39 | lapply linear track_inv_scut to H3; decompose; destruct;
40 lapply linear track_inv_prin to H4; destruct;
41 lapply linear linj_inj to Hcut; destruct; autobatch
42 | lapply linear track_inv_scut to H3; decompose; destruct;
43 lapply linear track_inv_impw to H4; decompose; destruct;
44 lapply linear track_inv_impr to H5; decompose; destruct; autobatch