Theorems · Theorem · algebraic geometry
AlgebraicGeometry.LocallyOfFiniteType.isLocallyNoetherian
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [AlgebraicGeometry.LocallyOfFiniteType f]
[AlgebraicGeometry.IsLocallyNoetherian Y], AlgebraicGeometry.IsLocallyNoetherian X- Defined in
- Mathlib.AlgebraicGeometry.Noetherian
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
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.CategoryStruct.compproof · cited by 17,999
- CommRingproof · cited by 17,173
- Algebraproof · cited by 11,388
- TopCat.carrierproof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatproof · cited by 2,333
- AlgebraicGeometry.Scheme.toLocallyRingedSpaceproof · cited by 1,734
- CommRingCat.carrierproof · cited by 1,096
- CategoryTheory.PreZeroHypercover.I₀proof · cited by 763
- CategoryTheory.PreZeroHypercover.Xproof · cited by 649
- CategoryTheory.Limits.pullback.sndproof · cited by 637
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.IsLocallyArtinian.of_isImmersionproof · cited by 1
- AlgebraicGeometry.Scheme.Hom.dense_smoothLocus_of_perfectFieldproof · cited by 0