Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.IdealSheafData.mem_support_iff
∀ {X : AlgebraicGeometry.Scheme} {I : X.IdealSheafData} {x : ↥X},
x ∈ I.support ↔ ∀ (U : ↑X.affineOpens), x ∈ X.zeroLocus ↑(I.ideal U)- Cited by
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- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CategoryTheory.Functor.objstatement · cited by 19,642
- SetLike.coestatement · cited by 8,199
- Oppositestatement · cited by 8,081
- Set.Elemstatement · cited by 7,166
- Idealstatement · cited by 4,748
- TopCat.carrierstatement and proof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- TopologicalSpace.Opensstatement · cited by 2,040
- AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
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