∀ {A : Type u_1} {σ : Type u_2} [inst : CommRing A] [inst_1 : SetLike σ A] [inst_2 : AddSubgroupClass σ A] {𝒜 : ℕ → σ}
  [inst_3 : GradedRing 𝒜] {U : TopologicalSpace.Opens ↑(ProjectiveSpectrum.top 𝒜)} (x : ↥U),
  (↑x).asHomogeneousIdeal.toIdeal.IsPrime