include "NLE/defs.ma".
theorem nle_inv_succ_1: \forall x,y. x < y \to
- \exists z. y = succ z \land x <= z.
+ \exists z. y = succ z \land x <= z.
intros. elim H.
- lapply linear nplus_gen_succ_2 to H1.
+ lapply linear nplus_inv_succ_2 to H1.
decompose. subst. auto depth = 4.
qed.