Theorems · Inductive type · algebraic geometry
AlgebraicGeometry.SurjectiveOnStalks
{X Y : AlgebraicGeometry.Scheme} → (X ⟶ Y) → PropThe class of morphisms f : X ⟶ Y between schemes such that
𝒪_{Y, f x} ⟶ 𝒪_{X, x} is surjective for all x : X.
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- AlgebraicGeometry.Schemestatement · cited by 2,540
Cited by22
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.isPreimmersion_iffstatement and proof · cited by 3
- AlgebraicGeometry.Scheme.Hom.stalkMap_surjectivestatement · cited by 3
- AlgebraicGeometry.isClosedImmersion_iffstatement and proof · cited by 2
- AlgebraicGeometry.IsPreimmersion.SpecMap_iffproof · cited by 1
- AlgebraicGeometry.IsClosedImmersion.casesOnstatement and proof · cited by 1
- AlgebraicGeometry.IsPreimmersion.casesOnstatement and proof · cited by 1
- AlgebraicGeometry.SurjectiveOnStalks.Spec_iffstatement · cited by 1
- AlgebraicGeometry.SurjectiveOnStalks.casesOnstatement and proof · cited by 1
- AlgebraicGeometry.SurjectiveOnStalks.eq_stalkwisestatement · cited by 1
- AlgebraicGeometry.IsClosedImmersion.iff_isPreimmersionproof · cited by 1
- AlgebraicGeometry.SurjectiveOnStalks.of_compstatement and proof · cited by 1
- AlgebraicGeometry.SurjectiveOnStalks.stalkMap_surjectivestatement and proof · cited by 1