∀ {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))
  [∀ (k : K), CategoryTheory.Limits.HasColimit (F.flip.obj k)], CategoryTheory.Limits.HasColimit F