∀ {J : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} J] {C : Type u₃} [inst_1 : CategoryTheory.Category.{v₃, u₃} C]
  {F : CategoryTheory.Functor J C} {X Y : (CategoryTheory.Limits.Cone F)ᵒᵖ} (f : X ⟶ Y),
  (CategoryTheory.Limits.coneOpEquiv.functor.map f).hom = f.unop.hom.op