{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] →
            [inst_3 : CategoryTheory.Limits.HasLimitsOfShape J C] →
              (F : CategoryTheory.Functor J (CategoryTheory.Functor K C)) →
                (k : K) →
                  (CategoryTheory.Limits.limit F).obj k ≅
                    CategoryTheory.Limits.limit (F.comp ((CategoryTheory.evaluation K C).obj k))