Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.IdealSheafData.comapIso_hom_snd_assoc
∀ {X Y : AlgebraicGeometry.Scheme} (I : Y.IdealSheafData) (f : X ⟶ Y) {Z : AlgebraicGeometry.Scheme}
(h : I.subscheme ⟶ Z),
CategoryTheory.CategoryStruct.comp (I.comapIso f).hom
(CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.pullback.snd f I.subschemeι) h) =
CategoryTheory.CategoryStruct.comp ((I.comap f).subschemeMap I f ⋯) h- Cited by
- 0 results in Mathlib
- Foundations
- Depth 232 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- 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.Scheme.IdealSheafDatastatement and proof · cited by 192
- AlgebraicGeometry.Scheme.IdealSheafData.subschemestatement and proof · cited by 36
- AlgebraicGeometry.Scheme.IdealSheafData.subschemeιstatement and proof · cited by 36
- AlgebraicGeometry.Scheme.IdealSheafData.comapstatement and proof · cited by 23
- AlgebraicGeometry.Scheme.IdealSheafData.comapIsostatement and proof · cited by 8
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