Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.AffineZariskiSite.sectionsOfPresieve
{X : AlgebraicGeometry.Scheme} →
{U : X.AffineZariskiSite} → CategoryTheory.Presieve U → Set ↑(X.presheaf.obj (Opposite.op U.toOpens))The set of sections associated to a presieve.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- Oppositestatement · cited by 8,081
- Set.ofPredproof · cited by 6,101
- TopCat.carrierstatement · 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 · 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.AffineZariskiSite.presieveOfSections_sectionsOfPresievestatement and proof · cited by 2
- AlgebraicGeometry.Scheme.AffineZariskiSite.presieveOfSections_surjectiveproof · cited by 0