Theorems · Theorem · algebraic geometry
AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.isoRestrict_hom_ofRestrict_assoc
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : AlgebraicGeometry.PresheafedSpace C} (f : X ⟶ Y)
[H : AlgebraicGeometry.PresheafedSpace.IsOpenImmersion f] {Z : AlgebraicGeometry.PresheafedSpace C} (h : Y ⟶ Z),
CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.isoRestrict f).hom
(CategoryTheory.CategoryStruct.comp (Y.ofRestrict ⋯) h) =
CategoryTheory.CategoryStruct.comp f h- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- 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.PresheafedSpace.carrierstatement · cited by 2,020
- AlgebraicGeometry.PresheafedSpace.Hom.basestatement · cited by 1,135
- AlgebraicGeometry.PresheafedSpacestatement and proof · cited by 260
- AlgebraicGeometry.PresheafedSpace.IsOpenImmersionstatement and proof · cited by 44
- AlgebraicGeometry.PresheafedSpace.restrictstatement · cited by 31
- AlgebraicGeometry.PresheafedSpace.IsOpenImmersion.base_openstatement and proof · cited by 24
- AlgebraicGeometry.PresheafedSpace.ofRestrictstatement and proof · cited by 13
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.