Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.ker_eq_bot_of_isIso
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [CategoryTheory.IsIso f], AlgebraicGeometry.Scheme.Hom.ker f = ⊥- Cited by
- 2 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.IsIso
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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.objproof · cited by 19,642
- Set.Elemproof · cited by 7,166
- Bot.botstatement · cited by 4,720
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.SheafedSpace.toPresheafedSpaceproof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpaceproof · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpaceproof · cited by 1,734
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- AlgebraicGeometry.PresheafedSpace.presheafproof · cited by 1,104
- CommRingCat.carrierproof · cited by 1,096
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.IsClosedImmersion.isIso_iff_ker_eq_botproof · cited by 2
- AlgebraicGeometry.Scheme.isIso_subschemeι_iff_eq_botproof · cited by 0