Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.quasiFiniteLocus_eq_top_iff
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [inst : AlgebraicGeometry.LocallyOfFiniteType f],
AlgebraicGeometry.Scheme.Hom.quasiFiniteLocus f = ⊤ ↔ AlgebraicGeometry.LocallyQuasiFinite f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 237 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites35
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
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- Quiver.Homstatement and proof · cited by 32,603
- Top.topstatement and proof · cited by 9,680
- Set.Elemproof · cited by 7,166
- Set.preimageproof · cited by 4,946
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- TopCat.carrierstatement and proof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- IsOpenproof · cited by 2,400
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
Cited by1
Results whose statement or proof uses this declaration.