Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.normalizationDesc_comp
∀ {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.normalizationDesc f f₁ f₂ H) f₂ =
AlgebraicGeometry.Scheme.Hom.fromNormalization f- Defined in
- Mathlib.AlgebraicGeometry.Normalization
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites70
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- LE.le.transproof · cited by 3,151
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatproof · cited by 2,333
Cited by5
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.normalizationPullback_sndproof · cited by 2
- AlgebraicGeometry.Scheme.Hom.normalizationDesc_comp_assocproof · cited by 0