Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.AffineZariskiSite.toOpens_mono
∀ {X : AlgebraicGeometry.Scheme}, Monotone AlgebraicGeometry.Scheme.AffineZariskiSite.toOpens- Cited by
- 1 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.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objproof · cited by 19,642
- TopCat.carrierstatement · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- 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
- Monotonestatement · cited by 1,397
- AlgebraicGeometry.Scheme.Opensstatement and proof · cited by 1,149
- AlgebraicGeometry.PresheafedSpace.presheafproof · cited by 1,104
- CommRingCat.carrierproof · cited by 1,096
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.AffineZariskiSite.toOpensFunctorproof · cited by 17
- AlgebraicGeometry.Scheme.AffineZariskiSite.mem_grothendieckTopologyproof · cited by 1