AlgebraicGeometry.Scheme.ringCatSheaf

(X : AlgebraicGeometry.Scheme) → TopCat.Sheaf RingCat ↑X.toPresheafedSpace

The underlying sheaf of rings of a scheme.

Defined in: Mathlib.AlgebraicGeometry.Modules.Presheaf
Cited by: 11 results in Mathlib
Foundations: Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CategoryTheory.Functor.objproof · cited by 19,642
TopCat.carrierproof · cited by 3,184
AlgebraicGeometry.Schemestatement and proof · cited by 2,540
CommRingCatstatement and proof · cited by 2,333
AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement and proof · cited by 1,892
AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement and proof · cited by 1,734
RingCatstatement and proof · cited by 473
CategoryTheory.forget₂proof · cited by 260
Opens.grothendieckTopologyproof · cited by 206
TopCat.Sheafstatement · cited by 73

Results whose statement or proof uses this declaration.