∀ {J : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} J] {K : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} K]
  {C : Type u} [inst_2 : CategoryTheory.Category.{v, u} C] (F : CategoryTheory.Functor J C)
  [inst_3 : CategoryTheory.Limits.HasColimit F] (E : CategoryTheory.Functor K J)
  [inst_4 : CategoryTheory.Limits.HasColimit (E.comp F)] (k : K) {Z : C} (h : CategoryTheory.Limits.colimit F ⟶ Z),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.colimit.ι (E.comp F) k)
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.colimit.pre F E) h) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.colimit.ι F (E.obj k)) h