Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.IdealSheafData.ext
∀ {X : AlgebraicGeometry.Scheme} {I J : X.IdealSheafData}, I.ideal = J.ideal → I = J- Cited by
- 16 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
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
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functor.mapproof · cited by 8,698
- SetLike.coeproof · cited by 8,199
- Oppositestatement · cited by 8,081
- Set.Elemstatement and proof · cited by 7,166
- Idealstatement and proof · 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
Cited by16
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.IdealSheafData.ker_subschemeιproof · cited by 7
- AlgebraicGeometry.Scheme.Hom.ker_eq_bot_of_isIsoproof · cited by 2
- AlgebraicGeometry.Scheme.nilradical_eq_botproof · cited by 1
- AlgebraicGeometry.Scheme.IdealSheafData.bot_mulproof · cited by 1
- AlgebraicGeometry.Scheme.IdealSheafData.vanishingIdeal_supportproof · cited by 1
- AlgebraicGeometry.Scheme.IdealSheafData.mul_botproof · cited by 0
- AlgebraicGeometry.Scheme.IdealSheafData.mul_infproof · cited by 0
- AlgebraicGeometry.Scheme.IdealSheafData.mul_topproof · cited by 0
- AlgebraicGeometry.Scheme.IdealSheafData.top_mulproof · cited by 0
- AlgebraicGeometry.Scheme.IdealSheafData.inf_mulproof · cited by 0
- AlgebraicGeometry.Scheme.IdealSheafData.radical_infproof · cited by 0
- AlgebraicGeometry.Scheme.IdealSheafData.radical_mulproof · cited by 0