Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.zeroLocus_univ
∀ (X : AlgebraicGeometry.Scheme) {U : X.Opens}, X.zeroLocus Set.univ = (↑U)ᶜ- Defined in
- Mathlib.AlgebraicGeometry.Scheme
- Cited by
- 1 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.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · 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
- Set.univstatement and proof · cited by 3,945
- TopCat.carrierstatement and proof · cited by 3,184
- Compl.complstatement · cited by 2,925
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- Set.extproof · cited by 2,266
- TopologicalSpace.Opensstatement · cited by 2,040
- AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.zeroLocus_biInfproof · cited by 2