Theorems · Theorem · algebraic geometry
AlgebraicGeometry.isLocalizing_tilde
∀ {R : CommRingCat} (M : ModuleCat ↑R),
AlgebraicGeometry.IsLocalizing (AlgebraicGeometry.modulesSpecToSheaf.obj (AlgebraicGeometry.tilde M))- Defined in
- Mathlib.AlgebraicGeometry.Modules.Tilde
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites34
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- RingHom.idproof · cited by 18,349
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- LinearMapproof · cited by 10,215
- Top.topproof · cited by 9,680
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- CommRingCatstatement and proof · cited by 2,333
- AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988
- Quiver.Hom.opproof · cited by 1,948
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.isIso_fromTildeΓ_iff_isLocalizingproof · cited by 0