∀ {R : Type u_1} [inst : Monoid R] {S : Submonoid R} [inst_1 : OreLocalization.OreSet S] {X : Type u_2}
  [inst_2 : AddGroup X] [inst_3 : DistribMulAction R X] (n : ℕ) (a : OreLocalization S X),
  OreLocalization.zsmul (↑n.succ) a = OreLocalization.zsmul (↑n) a + a