∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {F : CategoryTheory.Functor C (Type w)} {p q r : F.Elements}
  {f : p ⟶ q} {g : q ⟶ r}, ↑(CategoryTheory.CategoryStruct.comp f g) = CategoryTheory.CategoryStruct.comp ↑f ↑g