Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.toNormalization_normalizationDesc
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [inst : AlgebraicGeometry.QuasiCompact f]
[inst_1 : AlgebraicGeometry.QuasiSeparated f] {T : AlgebraicGeometry.Scheme} (f₁ : X ⟶ T) (f₂ : T ⟶ Y)
[inst_2 : AlgebraicGeometry.IsIntegralHom f₂] (H : f = CategoryTheory.CategoryStruct.comp f₁ f₂),
CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.Scheme.Hom.toNormalization f)
(AlgebraicGeometry.Scheme.Hom.normalizationDesc f f₁ f₂ H) =
f₁- Defined in
- Mathlib.AlgebraicGeometry.Normalization
- Cited by
- 4 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.
Cites53
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
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- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- Algebraproof · cited by 11,388
- Set.Elemproof · cited by 7,166
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- 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 by4
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.toNormalization_normalizationDesc_assocproof · cited by 2