Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.Hom.toImage
{X Y : AlgebraicGeometry.Scheme} → (f : X ⟶ Y) → X ⟶ AlgebraicGeometry.Scheme.Hom.image fThe morphism from the domain to the scheme-theoretic image.
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 213 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- TopCat.carrierproof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.PresheafedSpace.carrierproof · cited by 2,020
- 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.LocallyRingedSpace.Hom.toHomproof · cited by 995
- AlgebraicGeometry.Scheme.Hom.toLRSHom'proof · cited by 895
Cited by17
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.toImage_imageιstatement and proof · cited by 11
- AlgebraicGeometry.Scheme.IdealSheafData.comapIsoproof · cited by 8
- AlgebraicGeometry.IsClosedImmersion.liftproof · cited by 5
- AlgebraicGeometry.IsClosedImmersion.lift_facproof · cited by 4
- AlgebraicGeometry.Scheme.kerAdjunctionproof · cited by 2
- AlgebraicGeometry.Scheme.IdealSheafData.le_map_iff_comap_leproof · cited by 2
- AlgebraicGeometry.IsClosedImmersion.isAffine_surjective_of_isAffineproof · cited by 1
- AlgebraicGeometry.Scheme.Hom.toImage_appstatement and proof · cited by 1
- AlgebraicGeometry.Scheme.Hom.toImage_app_injectivestatement · cited by 1
- AlgebraicGeometry.Scheme.Hom.toImage_imageι_assocstatement and proof · cited by 1
- AlgebraicGeometry.Scheme.IdealSheafData.ker_fst_of_isClosedImmersionproof · cited by 1