{A : Type u_1} →
  {σ : Type u_2} →
    [inst : CommRing A] →
      [inst_1 : SetLike σ A] →
        [inst_2 : AddSubmonoidClass σ A] → (𝒜 : ℕ → σ) → [inst_3 : GradedRing 𝒜] → PartialOrder (ProjectiveSpectrum 𝒜)