{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {X Y : C} →
      (f : X ⟶ Y) →
        [inst_1 : CategoryTheory.Limits.HasImage f] →
          CategoryTheory.Subobject.underlying.obj (CategoryTheory.Limits.imageSubobject f) ≅
            CategoryTheory.Limits.image f