Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.IdealSheafData.comapIso_hom_snd

∀ {X Y : AlgebraicGeometry.Scheme} (I : Y.IdealSheafData) (f : X ⟶ Y),
  CategoryTheory.CategoryStruct.comp (I.comapIso f).hom (CategoryTheory.Limits.pullback.snd f I.subschemeι) =
    (I.comap f).subschemeMap I f ⋯

Defined in: Mathlib.AlgebraicGeometry.IdealSheaf.Functorial
Cited by: 1 results in Mathlib
Foundations: Depth 231 from the axioms · uses propext, Classical.choice, Quot.sound

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Cites17

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
CategoryTheory.cancel_monoproof · cited by 435
AlgebraicGeometry.Scheme.IdealSheafDatastatement and proof · cited by 192
AlgebraicGeometry.Scheme.IdealSheafData.subschemestatement · cited by 36
AlgebraicGeometry.Scheme.IdealSheafData.subschemeιstatement and proof · cited by 36
AlgebraicGeometry.Scheme.IdealSheafData.comapstatement and proof · cited by 23

Cited by1

Results whose statement or proof uses this declaration.

AlgebraicGeometry.Scheme.IdealSheafData.comapIso_hom_snd_assocproof · cited by 0