∀ {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)ᵒᵖ} (f : X ⟶ Y),
  ((CategoryTheory.Limits.coconeEquivalenceOpConeOp F).inverse.map f).hom = f.unop.hom.unop