∀ {J : Type u_2} [inst : CategoryTheory.Category.{u_4, u_2} J] {C : Type u_1}
  [inst_1 : CategoryTheory.Category.{u_3, u_1} C] {F : CategoryTheory.Functor Jᵒᵖ C}
  {X Y Z : (CategoryTheory.Limits.Cocone F)ᵒᵖ} (f : Y ⟶ X) (g : Z ⟶ Y),
  { hom := (CategoryTheory.CategoryStruct.comp g f).unop.hom.op, w := ⋯ } =
    CategoryTheory.CategoryStruct.comp { hom := g.unop.hom.op, w := ⋯ } { hom := f.unop.hom.op, w := ⋯ }