Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Surjective.surj
∀ {X Y : AlgebraicGeometry.Scheme} {f : X ⟶ Y} [self : AlgebraicGeometry.Surjective f], Function.Surjective ⇑f- Cited by
- 5 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AlgebraicGeometry.Surjective
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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- TopCat.carrierstatement · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- ContinuousMapstatement · cited by 2,491
- 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
- TopCatstatement · cited by 1,889
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement · cited by 1,734
Cited by5
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.surjectiveproof · cited by 12
- AlgebraicGeometry.UniversallyClosed.of_comp_surjectiveproof · cited by 2
- AlgebraicGeometry.universallyInjective_eq_diagonalproof · cited by 2
- AlgebraicGeometry.compactSpace_iff_existsproof · cited by 2
- AlgebraicGeometry.Flat.epi_of_flat_of_surjectiveproof · cited by 1