proposition: Lemma LF2 i: (Exp2.exp2 i * i < F_ (E0fin 2) i)%N.
proof: Proof. apply /ltP; replace (F_ (E0fin 2) i) with (F_alpha.F_ (hE0fin 2) i). - apply LF2. - rewrite /F_; congr hF_ ; by apply E0_eq_intro . 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)