∀ {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.HasLimit (F.flip.obj k)],
  CategoryTheory.Limits.HasLimit (F.comp ((CategoryTheory.evaluation K C).obj k))