Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.nilradical_eq_bot
∀ {X : AlgebraicGeometry.Scheme} [AlgebraicGeometry.IsReduced X], X.nilradical = ⊥- Cited by
- 1 results in Mathlib
- Foundations
- Depth 171 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.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objproof · cited by 19,642
- CommSemiringproof · cited by 10,911
- Set.Elemproof · cited by 7,166
- Bot.botstatement and proof · cited by 4,720
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.SheafedSpace.toPresheafedSpaceproof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpaceproof · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpaceproof · cited by 1,734
- AlgebraicGeometry.PresheafedSpace.presheafproof · cited by 1,104
- CommRingCat.carrierproof · cited by 1,096
- AlgebraicGeometry.Scheme.affineOpensproof · cited by 220
- AlgebraicGeometry.Scheme.IdealSheafDatastatement · cited by 192
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.IdealSheafData.support_eq_top_iffproof · cited by 2