{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Limits.HasPullbacks C] →
      {Ω : C} →
        (h : CategoryTheory.Classifier.SubobjectRepresentableBy Ω) →
          (U : C) → U ⟶ CategoryTheory.Subobject.underlying.obj h.Ω₀