{I : Type u} →
  (C : Set (I → Bool)) →
    [inst : LinearOrder I] →
      [inst_1 : WellFoundedLT I] →
        {o : Ordinal.{u}} →
          Order.IsSuccLimit o →
            Profinite.NobelingProof.contained C o →
              ↑(Profinite.NobelingProof.GoodProducts.range C) ≃
                ↑(⋃ e, Profinite.NobelingProof.GoodProducts.smaller C ↑e)