∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Limits.HasPullbacks C] {Ω : C}
  (h : CategoryTheory.Classifier.SubobjectRepresentableBy Ω) {U X : C} (m : U ⟶ X) (x : CategoryTheory.Mono m),
  CategoryTheory.CategoryStruct.comp (h.χ m) (CategoryTheory.Iso.refl Ω).hom =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.Iso.refl X).hom (h.χ m)