{I : Type u} →
  (C : Set (I → Bool)) →
    [inst : LinearOrder I] →
      [inst_1 : WellFoundedLT I] →
        {o : Ordinal.{u}} →
          (ho : o < Ordinal.type fun x1 x2 => x1 < x2) →
            LocallyConstant ↑C ℤ →ₗ[ℤ] LocallyConstant ↑(Profinite.NobelingProof.C' C ho) ℤ