Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Proj.affineOpenCover_f
∀ {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] (i : (i : ℕ+) × ↥(𝒜 ↑i)),
(AlgebraicGeometry.Proj.affineOpenCover 𝒜).f i = AlgebraicGeometry.Proj.awayι 𝒜 ↑i.snd ⋯ ⋯- Cited by
- 1 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CommRingstatement and proof · cited by 17,173
- AlgebraicGeometry.Schemestatement · cited by 2,540
- SetLikestatement and proof · cited by 1,084
- AlgebraicGeometry.Specstatement · cited by 626
- AlgebraicGeometry.IsOpenImmersionstatement · cited by 476
- GradedRingstatement and proof · cited by 424
- Submonoid.powersstatement · cited by 408
- PNatstatement and proof · cited by 392
- AddSubgroupClassstatement and proof · cited by 240
- PNat.valstatement and proof · cited by 226
- HomogeneousLocalization.Awaystatement · cited by 105
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Proj.map_idproof · cited by 0