∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] {J : Type u_4}
  [inst_1 : CategoryTheory.Category.{u_3, u_4} J] (F : CategoryTheory.Functor Jᵒᵖ C)
  {c : CategoryTheory.Limits.Cone F.rightOp} (hc : CategoryTheory.Limits.IsLimit c) (s : CategoryTheory.Limits.Cocone F)
  (m : (CategoryTheory.Limits.coconeOfConeRightOp c).pt ⟶ s.pt),
  (∀ (j : Jᵒᵖ),
      CategoryTheory.CategoryStruct.comp ((CategoryTheory.Limits.coconeOfConeRightOp c).ι.app j) m = s.ι.app j) →
    m = (hc.lift (CategoryTheory.Limits.coneRightOpOfCocone s)).unop