∀ {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]
  (H : CategoryTheory.Functor J (CategoryTheory.Functor K C)) [inst_3 : CategoryTheory.Limits.HasColimit H]
  (c : CategoryTheory.Limits.Cocone H) (j : J) (k : K) {Z : C} (h : c.pt.obj k ⟶ Z),
  CategoryTheory.CategoryStruct.comp ((CategoryTheory.Limits.colimit.ι H j).app k)
      (CategoryTheory.CategoryStruct.comp ((CategoryTheory.Limits.colimit.desc H c).app k) h) =
    CategoryTheory.CategoryStruct.comp ((c.ι.app j).app k) h