{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {J : Type u₁} →
      [inst_1 : CategoryTheory.Category.{v₁, u₁} J] →
        {K : Type u₂} →
          [inst_2 : CategoryTheory.Category.{v₂, u₂} K] →
            (F : CategoryTheory.Functor J (CategoryTheory.Functor K C)) →
              (c : (k : K) → CategoryTheory.Limits.ColimitCocone (F.flip.obj k)) →
                (k : K) →
                  ((CategoryTheory.evaluation K C).obj k).mapCocone (CategoryTheory.Limits.combineCocones F c) ≅
                    (c k).cocone