- bug fix in destruct

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

diff --git a/matita/contribs/LOGIC/Track/inv.ma b/matita/contribs/LOGIC/Track/inv.ma
index 77d1107cdd7b187f375ee68ddb2f5f3d30db468c..d38d3f120ca6fea326884866dc2fd7c326f1e68d 100644 (file)
--- a/matita/contribs/LOGIC/Track/inv.ma
+++ b/matita/contribs/LOGIC/Track/inv.ma
@@ -20,26 +20,26 @@ include "Track/defs.ma".
 
 theorem track_inv_lref: \forall Q,S,i. Track Q (lref i) S \to
                         \exists p1,p2,P. Insert p1 p2 S i P Q.
- intros; inversion H; clear H; intros; subst; autobatch depth = 4.
+ intros; inversion H; clear H; intros; destruct; autobatch depth = 4.
 qed.
 
 theorem track_inv_prin: \forall P,S,h. Track P (prin h) S \to
                         S = pair (posr h) (posr h).
- intros; inversion H; clear H; intros; subst; autobatch.
+ intros; inversion H; clear H; intros; destruct; autobatch.
 qed.
 
 theorem track_inv_impw: \forall P,p,S. Track P (impw p) S \to
                         \exists B,a,b. 
                         S = pair (impl a b) B \land 
                         Track P p (pair lleaf B).
- intros; inversion H; clear H; intros; subst; autobatch depth = 5.
+ intros; inversion H; clear H; intros; destruct; autobatch depth = 5.
 qed.
 
 theorem track_inv_impr: \forall Q,p,S. Track Q (impr p) S \to
                         \exists a,b:Formula. 
                         S = pair lleaf (impl a b) \land
                         Track Q p (pair a b).
- intros; inversion H; clear H; intros; subst; autobatch depth = 4.
+ intros; inversion H; clear H; intros; destruct; autobatch depth = 4.
 qed.
 
 theorem track_inv_impi: \forall P,p,q,r,S. Track P (impi p q r) S \to
@@ -48,7 +48,7 @@ theorem track_inv_impi: \forall P,p,q,r,S. Track P (impi p q r) S \to
                         Track P p (pair A a) \land
                         Track P q (pair b B) \land
                         Track (abst P p q (pair A B)) r (pair lleaf D).
- intros; inversion H; clear H; intros; subst; autobatch depth = 9 width = 4 size = 12.
+ intros; inversion H; clear H; intros; destruct; autobatch depth = 9 width = 4 size = 12.
 qed.
 
 theorem track_inv_scut: \forall P,q,r,S. Track P (scut q r) S \to
@@ -56,5 +56,5 @@ theorem track_inv_scut: \forall P,q,r,S. Track P (scut q r) S \to
                         S = pair A B \land
                         Track P q (pair A c) \land
                         Track P r (pair c B).
- intros; inversion H; clear H; intros; subst; autobatch depth = 6 size = 8. 
+ intros; inversion H; clear H; intros; destruct; autobatch depth = 6 size = 8. 
 qed.