Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.normalizationPullback_snd_assoc
∀ {X S Y : AlgebraicGeometry.Scheme} (f : X ⟶ S) (g : Y ⟶ S) [inst : AlgebraicGeometry.QuasiCompact f]
[inst_1 : AlgebraicGeometry.QuasiSeparated f] {Z : AlgebraicGeometry.Scheme} (h : Y ⟶ Z),
CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.Scheme.Hom.normalizationPullback f g)
(CategoryTheory.CategoryStruct.comp
(CategoryTheory.Limits.pullback.snd (AlgebraicGeometry.Scheme.Hom.fromNormalization f) g) h) =
CategoryTheory.CategoryStruct.comp
(AlgebraicGeometry.Scheme.Hom.fromNormalization (CategoryTheory.Limits.pullback.snd f g)) h- Defined in
- Mathlib.AlgebraicGeometry.Normalization
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Category.assocproof · cited by 6,433
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.Limits.pullbackstatement · cited by 864
- CategoryTheory.Limits.pullback.sndstatement and proof · cited by 637
- AlgebraicGeometry.QuasiCompactstatement and proof · cited by 102
- AlgebraicGeometry.QuasiSeparatedstatement and proof · cited by 52
- AlgebraicGeometry.Scheme.Hom.normalizationstatement · cited by 41
- AlgebraicGeometry.Scheme.Hom.fromNormalizationstatement and proof · cited by 28
- AlgebraicGeometry.Scheme.Hom.normalizationPullbackstatement and proof · cited by 5
- AlgebraicGeometry.Scheme.Hom.normalizationPullback_sndproof · cited by 2
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