-theorem track_inv_lleaf_impl:
- \forall Q,p,a,b. Track Q p (pair lleaf (impl a b)) \to
- (\exists P,i. p = lref i \land Insert (pair lleaf (impl a b)) i P Q) \lor
- (\exists r. p = impr r \land Track Q r (pair a b)).
- intros; inversion H; clear H; intros; subst;
- [ autobatch depth = 5
- | subst; autobatch depth = 4
- ].
+theorem track_inv_scut: \forall P,q,r,S. Track P (scut q r) S \to
+ \exists A,B. \exists c:Formula.
+ S = pair A B \land
+ Track P q (pair A c) \land
+ Track P r (pair c B).
+ intros; inversion H; clear H; intros; destruct; autobatch depth = 6 size = 8.