Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Modules.restrictAdjunction_unit_app_app
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [inst : AlgebraicGeometry.IsOpenImmersion f] (M : Y.Modules)
(U : Y.Opens),
AlgebraicGeometry.Scheme.Modules.Hom.app ((AlgebraicGeometry.Scheme.Modules.restrictAdjunction f).unit.app M) U =
M.presheaf.map (CategoryTheory.homOfLE ⋯).op- Defined in
- Mathlib.AlgebraicGeometry.Modules.Sheaf
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites33
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.Functor.objstatement · cited by 19,642
- CategoryTheory.Functor.mapstatement · cited by 8,698
- Oppositestatement · cited by 8,081
- CategoryTheory.NatTrans.appstatement · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Functor.idstatement · cited by 3,333
- TopCat.carrierstatement · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- TopologicalSpace.Opensstatement · cited by 2,040
- AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.