Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.surjective
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [AlgebraicGeometry.Surjective f], Function.Surjective ⇑f- Cited by
- 12 results in Mathlib
- Foundations
- Depth 101 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.
Cites17
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 by12
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.range_eq_univproof · cited by 4
- AlgebraicGeometry.Scheme.Hom.isConnected_preimageproof · cited by 1
- AlgebraicGeometry.Scheme.Hom.isIrreducible_preimageproof · cited by 1
- AlgebraicGeometry.Flat.isQuotientMap_of_surjectiveproof · cited by 1
- AlgebraicGeometry.Surjective.of_compproof · cited by 1
- AlgebraicGeometry.isSheaf_fpqcTopology_continuousMapPresheafproof · cited by 1
- AlgebraicGeometry.HasRingHomProperty.descendsAlong_flatproof · cited by 0
- AlgebraicGeometry.Scheme.Hom.one_le_finrank_iff_surjectiveproof · cited by 0
- AlgebraicGeometry.IsOpenImmersion.of_flat_of_monoproof · cited by 0
- AlgebraicGeometry.FormallyUnramified.hom_extproof · cited by 0