Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.IdealSheafData.zeroLocus_inter_subset_supportSet
∀ {X : AlgebraicGeometry.Scheme} (I : X.IdealSheafData) (U : ↑X.affineOpens),
X.zeroLocus ↑(I.ideal U) ∩ ↑↑U ⊆ I.supportSet- Cited by
- 2 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.
Cites54
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functor.mapproof · cited by 8,698
- SetLike.coestatement and proof · cited by 8,199
- Oppositestatement · cited by 8,081
- Set.Elemstatement and proof · cited by 7,166
- Idealstatement and proof · cited by 4,748
- Algebra.algebraMapproof · cited by 4,706
- mul_oneproof · cited by 3,885
- TopCat.carrierstatement and proof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.IdealSheafData.mem_supportSet_iff_of_memproof · cited by 1
- AlgebraicGeometry.Scheme.IdealSheafData.support_eq_bot_iffproof · cited by 0