fact: Definition transfinite_induction : forall (P:T1 -> Type), (forall x:T1, nf x -> (forall y:T1, nf y -> y < x -> P y) -> P x) -> forall a, nf a -> P a.
imports: Arith Omega Compare_dec Relations Wellfounded Tools More_nat Wf_nat AccP not_decreasing ArithRing term rpo List