Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.ker_comp_of_isIso
∀ {X Y Z : AlgebraicGeometry.Scheme} (f : X ⟶ Y) (g : Y ⟶ Z) [CategoryTheory.IsIso f],
AlgebraicGeometry.Scheme.Hom.ker (CategoryTheory.CategoryStruct.comp f g) = AlgebraicGeometry.Scheme.Hom.ker g- Cited by
- 4 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.
Cites11
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.CategoryStruct.compstatement and proof · cited by 17,999
- LE.le.transproof · cited by 3,151
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.invproof · cited by 467
- AlgebraicGeometry.Scheme.IdealSheafDatastatement · cited by 192
- LE.le.antisymm'proof · cited by 104
- AlgebraicGeometry.Scheme.Hom.kerstatement and proof · cited by 51
- CategoryTheory.IsIso.inv_hom_id_assocproof · cited by 37
- AlgebraicGeometry.Scheme.Hom.le_ker_compproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.IdealSheafData.ker_fst_of_isClosedImmersionproof · cited by 1
- AlgebraicGeometry.Scheme.IdealSheafData.comap_compproof · cited by 1
- AlgebraicGeometry.Scheme.IdealSheafData.map_botproof · cited by 0
- AlgebraicGeometry.Scheme.IdealSheafData.comap_idproof · cited by 0