Theorems · Inductive type · algebraic geometry
AlgebraicGeometry.IsNoetherian
AlgebraicGeometry.Scheme → Prop
A scheme X is Noetherian if it is locally Noetherian and compact.
- Defined in
- Mathlib.AlgebraicGeometry.Noetherian
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AlgebraicGeometry.Schemestatement · cited by 2,540
Cited by16
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.irreducibleComponentIdealstatement and proof · cited by 2
- AlgebraicGeometry.Scheme.irreducibleComponentOpenstatement and proof · cited by 2
- AlgebraicGeometry.IsNoetherian.casesOnstatement and proof · cited by 1
- AlgebraicGeometry.Scheme.irreducibleComponentstatement and proof · cited by 1
- AlgebraicGeometry.Scheme.irreducibleComponentιstatement and proof · cited by 1
- AlgebraicGeometry.IsNoetherian.recOnstatement and proof · cited by 0
- AlgebraicGeometry.isNoetherian_Specstatement · cited by 0
- AlgebraicGeometry.isNoetherian_iffstatement and proof · cited by 0
- AlgebraicGeometry.isNoetherian_iff_of_finite_affine_openCoverstatement and proof · cited by 0
- AlgebraicGeometry.isNoetherian_iff_of_finite_iSup_eq_topstatement and proof · cited by 0
- AlgebraicGeometry.IsArtinianScheme.iff_isNoetherian_and_discreteTopologystatement · cited by 0
- AlgebraicGeometry.Scheme.irreducibleComponentIdeal_defstatement and proof · cited by 0