{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {X : C} →
      {D : Type u₂} →
        [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
          {Y : D} →
            CategoryTheory.Functor (CategoryTheory.MonoOver X) (CategoryTheory.MonoOver Y) →
              CategoryTheory.Functor (CategoryTheory.Subobject X) (CategoryTheory.Subobject Y)