Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Proj.isAffineOpen_basicOpen
∀ {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 ∈ 𝒜 m → 0 < m → AlgebraicGeometry.IsAffineOpen (AlgebraicGeometry.Proj.basicOpen 𝒜 f)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- AlgebraicGeometry.Scheme.Opensproof · cited by 1,149
- SetLikestatement and proof · cited by 1,084
- GradedRingstatement and proof · cited by 424
- AddSubgroupClassstatement and proof · cited by 240
- AlgebraicGeometry.IsAffineOpenstatement and proof · cited by 222
- AlgebraicGeometry.Projstatement and proof · cited by 63
- AlgebraicGeometry.Proj.basicOpenstatement · cited by 38
- AlgebraicGeometry.Proj.awayιproof · cited by 30
- AlgebraicGeometry.isAffineOpen_opensRangeproof · cited by 13
- AlgebraicGeometry.Proj.opensRange_awayιproof · cited by 3
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