Theorems · Theorem · algebraic geometry
AlgebraicGeometry.UniversallyOpen.out
Deprecated since 2026-01-20Use AlgebraicGeometry.UniversallyOpen.universally_isOpenMap instead.
∀ {X Y : AlgebraicGeometry.Scheme} {f : X ⟶ Y} [self : AlgebraicGeometry.UniversallyOpen f],
(AlgebraicGeometry.topologically @IsOpenMap).universally fAlias of AlgebraicGeometry.UniversallyOpen.universally_isOpenMap.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- IsOpenMapstatement · cited by 253
- AlgebraicGeometry.topologicallystatement · cited by 35
- CategoryTheory.MorphismProperty.universallystatement · cited by 30
- AlgebraicGeometry.UniversallyOpenstatement · cited by 8
- AlgebraicGeometry.UniversallyOpen.universally_isOpenMapproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.