{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {X Y : C} →
      [inst_1 : CategoryTheory.Limits.HasImages C] →
        (f : X ⟶ Y) →
          (CategoryTheory.Subobject.exists f).comp CategoryTheory.Subobject.representative ≅
            CategoryTheory.Subobject.representative.comp (CategoryTheory.MonoOver.exists f)