Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Spec.locallyRingedSpaceMap_toHom
∀ {R S : CommRingCat} (f : R ⟶ S),
(AlgebraicGeometry.Spec.locallyRingedSpaceMap f).toHom = (AlgebraicGeometry.Spec.sheafedSpaceMap f).hom- Defined in
- Mathlib.AlgebraicGeometry.Spec
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- CommRingCatstatement and proof · cited by 2,333
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.Hom.toHomstatement and proof · cited by 995
- CategoryTheory.InducedCategory.Hom.homstatement · cited by 850
- AlgebraicGeometry.PresheafedSpacestatement · cited by 260
- AlgebraicGeometry.SheafedSpacestatement · cited by 142
- AlgebraicGeometry.Spec.locallyRingedSpaceObjstatement · cited by 57
- AlgebraicGeometry.Spec.sheafedSpaceObjstatement · cited by 24
- AlgebraicGeometry.Spec.sheafedSpaceMapstatement · cited by 16
- AlgebraicGeometry.Spec.locallyRingedSpaceMapstatement and proof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Spec.locallyRingedSpaceMap_compproof · cited by 1
- AlgebraicGeometry.Spec.locallyRingedSpaceMap_idproof · cited by 1