Theorems · Theorem · algebraic geometry
AlgebraicGeometry.IsOpenImmersion.isIso
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [AlgebraicGeometry.IsOpenImmersion f] [CategoryTheory.Epi f.base],
CategoryTheory.IsIso f- Defined in
- Mathlib.AlgebraicGeometry.OpenImmersion
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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.Functor.compproof · cited by 6,529
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement · cited by 1,892
- TopCatstatement · cited by 1,889
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement · cited by 1,734
- CategoryTheory.IsIsostatement · cited by 1,156
- AlgebraicGeometry.PresheafedSpace.Hom.basestatement and proof · cited by 1,135
- AlgebraicGeometry.LocallyRingedSpace.Hom.toHomstatement and proof · cited by 995
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.isIso_iff_isOpenImmersion_and_epi_baseproof · cited by 3