{ι : Type u_1} →
  {σ : Type u_2} →
    {A : Type u_3} →
      [inst : AddMonoid ι] →
        [inst_1 : Semiring A] →
          [inst_2 : SetLike σ A] →
            [inst_3 : AddSubmonoidClass σ A] →
              {𝒜 : ι → σ} → [inst_4 : DecidableEq ι] → [inst_5 : GradedRing 𝒜] → PartialOrder (HomogeneousSubsemiring 𝒜)