proposition: Fact F8 : forall i, (S n < i -> F_ beta i < F_ (E0_succ beta) i)%nat.
proof: Proof. intros i H; apply (F_alpha_dom beta i); abstract lia. Qed.
imports: hydras(Iterates Simple_LexProd Exp2) hydras(E0 Canon Paths primRec Hprime) Coq(ArithRing Lia) Compat815 Equations(Equations) hydras(primRec)