∀ {J : Type u_3} [inst : CategoryTheory.Category.{u_1, u_3} J] (F : CategoryTheory.Functor J RingCat)
  [inst_1 : Small.{u_2, max u_2 u_3} ↑(F.comp (CategoryTheory.forget RingCat)).sections],
  autoParam
    (∀ (n : ℕ) (x : (CategoryTheory.Limits.Types.Small.limitCone (F.comp (CategoryTheory.forget RingCat))).pt),
      RingCat.limitRing._aux_8 F (RingCat.sectionsSubring F).toRing (n + 1) x =
        RingCat.limitRing._aux_8 F (RingCat.sectionsSubring F).toRing n x + x)
    AddMonoid.nsmul_succ._autoParam