{ι : Type u_1} →
  {A : Type u_2} →
    {σ : Type u_3} →
      [inst : CommRing A] →
        [inst_1 : SetLike σ A] →
          [inst_2 : AddSubmonoidClass σ A] →
            {𝒜 : ι → σ} →
              (x : Submonoid A) →
                [inst_3 : AddCommMonoid ι] →
                  [inst_4 : DecidableEq ι] → [GradedRing 𝒜] → One (HomogeneousLocalization.NumDenSameDeg 𝒜 x)