{M : Type u_1} →
  [inst : CommMonoid M] →
    {S : Submonoid M} →
      {N : Type u_2} →
        [inst_1 : CommMonoid N] →
          (toFun : M → N) →
            (∀ (x y : M), toFun (x * y) = toFun x * toFun y) → S.IsLocalizationMap toFun → S.LocalizationMap N