Theorems · Theorem · algebraic geometry
AlgebraicGeometry.IsClosedImmersion.iff_isFinite_and_mono
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y),
AlgebraicGeometry.IsClosedImmersion f ↔ AlgebraicGeometry.IsFinite f ∧ CategoryTheory.Mono f- Cited by
- 2 results in Mathlib
- Foundations
- Depth 221 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- Top.topproof · cited by 9,680
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- Quiver.Hom.opproof · cited by 1,948
- CategoryTheory.Iso.symmproof · cited by 993
- Quiver.Hom.unopproof · cited by 903
- CategoryTheory.Monostatement and proof · cited by 893
- CategoryTheory.Epiproof · cited by 688
- CategoryTheory.PreZeroHypercover.Xproof · cited by 649
- CategoryTheory.Precoverage.ZeroHypercover.toPreZeroHypercoverproof · cited by 469
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.IsClosedImmersion.iff_isProper_and_monoproof · cited by 1
- AlgebraicGeometry.IsClosedImmersion.eq_isFinite_inf_monoproof · cited by 0