∀ {J : Type u_3} [inst : CategoryTheory.Category.{u_1, u_3} J] {C : Type u_4}
  [inst_1 : CategoryTheory.Category.{u_2, u_4} C] (F : CategoryTheory.Functor J C) (X : CategoryTheory.Limits.Cocone F),
  Quiver.Hom.op { hom := (CategoryTheory.CategoryStruct.id X).hom.op, w := ⋯ } =
    CategoryTheory.CategoryStruct.id (Opposite.op X.op)