Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.toNormalization_fromNormalization
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [inst : AlgebraicGeometry.QuasiCompact f]
[inst_1 : AlgebraicGeometry.QuasiSeparated f],
CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.Scheme.Hom.toNormalization f)
(AlgebraicGeometry.Scheme.Hom.fromNormalization f) =
f- Defined in
- Mathlib.AlgebraicGeometry.Normalization
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites50
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.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.NatTrans.appproof · cited by 7,406
- Set.Elemproof · cited by 7,166
- 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 by6
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.IsFinite.of_isProper_of_locallyQuasiFiniteproof · cited by 2
- AlgebraicGeometry.Scheme.Hom.toNormalization_app_preimageproof · cited by 2
- AlgebraicGeometry.Scheme.Hom.toNormalization_fromNormalization_assocproof · cited by 0
- AlgebraicGeometry.Scheme.Hom.normalization.hom_extproof · cited by 0