∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] {F : CategoryTheory.Functor C (Type u_3)}
  (S T : CategoryTheory.Subfunctor F) {U V : C} (x : U ⟶ V),
  ∀ x_1 ∈ S.obj U ⊓ T.obj U, F.map x x_1 ∈ S.obj V ∧ F.map x x_1 ∈ T.obj V