Theorems · Theorem · algebraic geometry

ProjectiveSpectrum.basicOpen_mul

∀ {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] (f g : A),
  ProjectiveSpectrum.basicOpen 𝒜 (f * g) = ProjectiveSpectrum.basicOpen 𝒜 f ⊓ ProjectiveSpectrum.basicOpen 𝒜 g

Defined in

Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Topology

Cited by

3 results in Mathlib

Foundations

Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingSetLikeAddSubmonoidClassGradedRing