∀ {I : Type u} (C : Set (I → Bool)) [inst : LinearOrder I] [inst_1 : WellFoundedLT I] {o : Ordinal.{u}}
  (hsC : Profinite.NobelingProof.contained C (Order.succ o)) (ho : o < Ordinal.type fun x1 x2 => x1 < x2)
  (y : LocallyConstant ↑(Profinite.NobelingProof.π C fun x => Profinite.NobelingProof.ord I x < o) ℤ),
  (Profinite.NobelingProof.Linear_CC' C hsC ho) ((Profinite.NobelingProof.πs C o) y) = 0