Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.support_ker
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [AlgebraicGeometry.QuasiCompact f],
↑(AlgebraicGeometry.Scheme.Hom.ker f).support = closure (Set.range ⇑f)- Cited by
- 6 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites105
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- RingHomproof · cited by 10,189
- Top.topproof · cited by 9,680
- SetLike.coestatement and proof · cited by 8,199
- CategoryTheory.Iso.invproof · cited by 6,514
- Set.imageproof · cited by 5,609
- Idealproof · cited by 4,748
- Set.rangestatement and proof · cited by 4,705
Cited by6
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.IdealSheafData.support_comapproof · cited by 2
- AlgebraicGeometry.isIso_of_isClosedImmersion_of_surjectiveproof · cited by 1
- AlgebraicGeometry.FormallyUnramified.hom_extproof · cited by 0
- AlgebraicGeometry.Scheme.IdealSheafData.support_mapproof · cited by 0
- AlgebraicGeometry.isDominant_of_of_appTop_injectiveproof · cited by 0