∀ {C : Type u_3} [inst : CategoryTheory.Category.{u_6, u_3} C] {H : Type u_5}
  [inst_1 : CategoryTheory.Category.{u_4, u_5} H] {J : Type u_2} [inst_2 : CategoryTheory.Category.{u_1, u_2} J]
  {F : CategoryTheory.Functor C CategoryTheory.Cat}
  (K : CategoryTheory.Functor J (CategoryTheory.Functor (CategoryTheory.Grothendieck F) H))
  [inst_3 : ∀ (c : C), CategoryTheory.Limits.HasColimitsOfShape (↑(F.obj c)) H]
  [CategoryTheory.Limits.HasLimitsOfShape J H],
  CategoryTheory.Limits.HasLimit (K.comp (CategoryTheory.Limits.fiberwiseColim F H))