proposition: Lemma F_alpha_gt (alpha : E0) (n : nat): (n < F_ alpha n)%N.
proof: Proof. apply /ltP; apply Epsilon0.F_alpha.F_alpha_gt. Qed.
imports: mathcomp(all_ssreflect zify) Coq(Logic.Eqdep_dec Arith) hydras(DecPreOrder) hydras(T1 E0) hydras(primRec) hydras(F_alpha F_omega) gaia_hydras(T1Bridge GCanon GHprime)