{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {F : CategoryTheory.Functor C CategoryTheory.Cat} →
      {H : Type u₂} →
        [inst_1 : CategoryTheory.Category.{v₂, u₂} H] →
          [inst_2 : ∀ (c : C), CategoryTheory.Limits.HasColimitsOfShape (↑(F.obj c)) H] →
            [inst_3 : CategoryTheory.Limits.HasColimitsOfShape C H] →
              (CategoryTheory.Limits.fiberwiseColim F H).comp CategoryTheory.Limits.colim ≅ CategoryTheory.Limits.colim