Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.IdealSheafData.comapIso_hom_fst
∀ {X Y : AlgebraicGeometry.Scheme} (I : Y.IdealSheafData) (f : X ⟶ Y),
CategoryTheory.CategoryStruct.comp (I.comapIso f).hom (CategoryTheory.Limits.pullback.fst f I.subschemeι) =
(I.comap f).subschemeι- Cited by
- 2 results in Mathlib
- Foundations
- Depth 226 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.Limits.pullbackstatement and proof · cited by 864
- CategoryTheory.Limits.pullback.fststatement · cited by 639
- AlgebraicGeometry.Scheme.IdealSheafDatastatement and proof · cited by 192
- CategoryTheory.Iso.hom_inv_id_assocproof · cited by 187
- 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
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.IdealSheafData.comapIso_hom_fst_assocproof · cited by 2
- AlgebraicGeometry.Scheme.IdealSheafData.comap_compproof · cited by 1