∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} (f : X ⟶ Y)
  [inst_1 : CategoryTheory.Limits.HasImage f],
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.factorThruImageSubobject f)
      (CategoryTheory.Limits.imageSubobject f).arrow =
    f