Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Proj.basicOpenIsoSpec_hom

∀ {σ : Type u_1} {A : Type u} [inst : CommRing A] [inst_1 : SetLike σ A] [inst_2 : AddSubgroupClass σ A] (𝒜 : ℕ → σ)
  [inst_3 : GradedRing 𝒜] (f : A) {m : ℕ} (f_deg : f ∈ 𝒜 m) (hm : 0 < m),
  (AlgebraicGeometry.Proj.basicOpenIsoSpec 𝒜 f f_deg hm).hom = AlgebraicGeometry.Proj.basicOpenToSpec 𝒜 f

Defined in

Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Basic

Cited by

3 results in Mathlib

Foundations

Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingSetLikeAddSubgroupClassGradedRing