Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.IdealSheafData.support_eq_top_iff
∀ {X : AlgebraicGeometry.Scheme} [AlgebraicGeometry.IsReduced X] {I : X.IdealSheafData}, I.support = ⊤ ↔ I = ⊥- Cited by
- 2 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AlgebraicGeometry.IsReduced
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- Bot.botstatement and proof · cited by 4,720
- TopCat.carrierstatement · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement · cited by 1,734
- AlgebraicGeometry.Scheme.IdealSheafDatastatement and proof · cited by 192
- top_le_iffproof · cited by 175
- TopologicalSpace.Closedsstatement · cited by 168
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.IsSchemeTheoreticallyDominant.of_isDominantproof · cited by 1
- AlgebraicGeometry.isIso_of_isClosedImmersion_of_surjectiveproof · cited by 1