Theorems · Theorem · algebraic geometry
AlgebraicGeometry.IsFinite.of_locallyQuasiFinite
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [AlgebraicGeometry.LocallyQuasiFinite f]
[AlgebraicGeometry.QuasiCompact f] [AlgebraicGeometry.IsLocallyArtinian Y], AlgebraicGeometry.IsFinite f- Cited by
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- Foundations
- Depth 225 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites39
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- AlgebraicGeometry.PresheafedSpace.carrierproof · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpaceproof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpaceproof · cited by 1,892
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