Theorems · Theorem · algebraic geometry
AlgebraicGeometry.LocallyRingedSpace.residue_surjective
∀ (X : AlgebraicGeometry.LocallyRingedSpace) (x : ↑X.toTopCat), Function.Surjective ⇑(CategoryTheory.ConcreteCategory.hom (X.residue x))
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement · cited by 10,189
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- TopCat.carrierstatement and proof · cited by 3,184
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement · cited by 1,892
- AlgebraicGeometry.PresheafedSpace.presheafstatement · cited by 1,104
- CommRingCat.carrierstatement · cited by 1,096
- TopCat.Presheaf.stalkstatement · cited by 407
- AlgebraicGeometry.LocallyRingedSpacestatement and proof · cited by 205
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.