Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.codisjoint_zeroLocus
∀ (X : AlgebraicGeometry.Scheme) {U : X.Opens} (s : Set ↑(X.presheaf.obj (Opposite.op U))),
Codisjoint (X.zeroLocus s) ↑U- Defined in
- Mathlib.AlgebraicGeometry.Scheme
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- SetLike.coestatement and proof · cited by 8,199
- Oppositestatement · cited by 8,081
- 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
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement and proof · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement and proof · cited by 1,734
Cited by3
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.zeroLocus_biInf_of_nonemptyproof · cited by 1
- AlgebraicGeometry.Scheme.zeroLocus_infproof · cited by 0