Theorems · Theorem · algebraic geometry
ProjectiveSpectrum.subset_vanishingIdeal_zeroLocus
∀ {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] (s : Set A), s ⊆ ↑(ProjectiveSpectrum.vanishingIdeal (ProjectiveSpectrum.zeroLocus 𝒜 s))- Cited by
- 0 results in Mathlib
- Foundations
- Depth 104 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.
- Setstatement and proof · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- SetLike.coestatement · cited by 8,199
- SetLikestatement and proof · cited by 1,084
- GradedRingstatement and proof · cited by 424
- AddSubmonoidClassstatement and proof · cited by 346
- HomogeneousIdealstatement · cited by 115
- GaloisConnection.le_u_lproof · cited by 52
- ProjectiveSpectrum.zeroLocusstatement · cited by 42
- ProjectiveSpectrum.vanishingIdealstatement · cited by 20
- ProjectiveSpectrum.gc_setproof · cited by 6
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