refactoring

[helm.git] / matita / contribs / LOGIC / Track / pred.ma

diff --git a/matita/contribs/LOGIC/Track/pred.ma b/matita/contribs/LOGIC/Track/pred.ma
index 3b640b97c47682a376a5990f71ce307fdea6cfac..d190f17fdd1661638514621af5a7fcd5594269dd 100644 (file)
--- a/matita/contribs/LOGIC/Track/pred.ma
+++ b/matita/contribs/LOGIC/Track/pred.ma
@@ -19,22 +19,28 @@ set "baseuri" "cic:/matita/LOGIC/Track/pred".
 include "Track/inv.ma".
 include "PRed/defs.ma".
 
-theorem track_pred: \forall Q1,Q2,p1,p2,S1,S2. PRed Q1 p1 S1 Q2 p2 S2 \to
+theorem track_pred: \forall Q1,Q2,p1,p2,S1,S2. [Q1, p1, S1] => [Q2, p2, S2] \to
                     Track Q1 p1 S1 \to Track Q2 p2 S2.
  intros 7; elim H; clear H Q1 Q2 p1 p2 S1 S2;
  [ autobatch
  | autobatch
- | lapply linear track_inv_impw to H3; decompose; subst; autobatch
- | lapply linear track_inv_impr to H3; decompose; subst; autobatch
- | lapply linear track_inv_impi to H7; decompose; subst; autobatch size = 7
- | lapply linear track_inv_scut to H5; decompose; subst; autobatch
- | lapply linear track_inv_scut to H4; decompose; subst;
+ | lapply linear track_inv_impw to H3; decompose; destruct; autobatch
+ | lapply linear track_inv_impr to H3; decompose; destruct; autobatch
+ | lapply linear track_inv_impi to H7; decompose; destruct; autobatch size = 7
+ | lapply linear track_inv_scut to H5; decompose; destruct; autobatch
+ | lapply linear track_inv_scut to H4; decompose; destruct;
    lapply linear track_inv_lref to H6; decompose; autobatch
- | lapply linear track_inv_scut to H4; decompose; subst;
+ | lapply linear track_inv_scut to H4; decompose; destruct;
    lapply linear track_inv_lref to H5; decompose; autobatch
- | lapply linear track_inv_scut to H3; decompose; subst;
-   lapply linear track_inv_prin to H5; subst; autobatch
- | lapply linear track_inv_scut to H3; decompose; subst;
-   lapply linear track_inv_prin to H4; subst; autobatch
+ | lapply linear track_inv_scut to H3; decompose; destruct;
+   lapply linear track_inv_prin to H5; destruct;
+   lapply linear rinj_inj to Hcut1;
+   rewrite < Hcut1 in H4; clear Hcut1 a2;
+   autobatch
+ | lapply linear track_inv_scut to H3; decompose; destruct;
+   lapply linear track_inv_prin to H4; destruct; autobatch
+ | lapply linear track_inv_scut to H3; decompose; destruct;
+   lapply linear track_inv_impw to H4; decompose; destruct;
+   lapply linear track_inv_impr to H5; decompose; destruct; autobatch
  ].
 qed.