∀ {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 J Cᵒᵖ)
  {c : CategoryTheory.Limits.Cone F.leftOp} (hc : CategoryTheory.Limits.IsLimit c) (s : CategoryTheory.Limits.Cocone F)
  (j : J),
  (CategoryTheory.CategoryStruct.comp ((CategoryTheory.Limits.coconeOfConeLeftOp c).ι.app j)
        (hc.lift (CategoryTheory.Limits.coneLeftOpOfCocone s)).op).unop =
    (s.ι.app j).unop