Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.IdealSheafData.comapIso_hom_fst_assoc
∀ {X Y : AlgebraicGeometry.Scheme} (I : Y.IdealSheafData) (f : X ⟶ Y) {Z : AlgebraicGeometry.Scheme} (h : X ⟶ Z),
CategoryTheory.CategoryStruct.comp (I.comapIso f).hom
(CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.pullback.fst f I.subschemeι) h) =
CategoryTheory.CategoryStruct.comp (I.comap f).subschemeι h- Cited by
- 2 results in Mathlib
- Foundations
- Depth 227 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
- CategoryTheory.Category.assocproof · cited by 6,433
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.Limits.pullbackstatement · cited by 864
- CategoryTheory.Limits.pullback.fststatement and proof · cited by 639
- 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
- AlgebraicGeometry.Scheme.IdealSheafData.comapIsostatement and proof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.IdealSheafData.le_map_iff_comap_leproof · cited by 2
- AlgebraicGeometry.Scheme.IdealSheafData.comapIso_hom_sndproof · cited by 1