Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.le_ker_comp
∀ {X Y Z : AlgebraicGeometry.Scheme} (f : X ⟶ Y) (g : Y.Hom Z),
g.ker ≤ AlgebraicGeometry.Scheme.Hom.ker (CategoryTheory.CategoryStruct.comp f g)- Cited by
- 5 results in Mathlib
- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
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
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- RingHomproof · cited by 10,189
- Set.Elemproof · cited by 7,166
- Idealproof · cited by 4,748
- 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
- AlgebraicGeometry.PresheafedSpace.Hom.baseproof · cited by 1,135
- AlgebraicGeometry.PresheafedSpace.presheafproof · cited by 1,104
Cited by5
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.ker_comp_of_isIsoproof · cited by 4
- AlgebraicGeometry.Scheme.IdealSheafData.le_map_iff_comap_leproof · cited by 2
- AlgebraicGeometry.Scheme.Hom.iInf_ker_openCover_map_comp_applyproof · cited by 2
- AlgebraicGeometry.exists_mem_of_isClosed_of_nonemptyproof · cited by 1
- AlgebraicGeometry.Scheme.Hom.iInf_ker_openCover_map_compproof · cited by 0