Theorems · Theorem · algebraic geometry
AlgebraicGeometry.isLocallyNoetherian_of_isOpenImmersion
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [AlgebraicGeometry.IsOpenImmersion f]
[AlgebraicGeometry.IsLocallyNoetherian Y], AlgebraicGeometry.IsLocallyNoetherian X- Defined in
- Mathlib.AlgebraicGeometry.Noetherian
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 147 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Iso.homproof · cited by 7,684
- Set.Elemproof · cited by 7,166
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.SheafedSpace.toPresheafedSpaceproof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpaceproof · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpaceproof · cited by 1,734
- AlgebraicGeometry.PresheafedSpace.presheafproof · cited by 1,104
- CommRingCat.carrierproof · cited by 1,096
- AlgebraicGeometry.IsOpenImmersionstatement and proof · cited by 476
- CommRingCat.Hom.homproof · cited by 432
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.