Theorems · Theorem · algebraic geometry

ProjectiveSpectrum.vanishingIdeal_union

∀ {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] (t t' : Set (ProjectiveSpectrum 𝒜)),
  ProjectiveSpectrum.vanishingIdeal (t ∪ t') =
    ProjectiveSpectrum.vanishingIdeal t ⊓ ProjectiveSpectrum.vanishingIdeal t'

Defined in

Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Topology

Cited by

0 results in Mathlib

Foundations

Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingSetLikeAddSubmonoidClassGradedRing