Theorems · Theorem · algebraic geometry
AlgebraicGeometry.universallyOpen_iff
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y),
AlgebraicGeometry.UniversallyOpen f ↔ (AlgebraicGeometry.topologically @IsOpenMap).universally f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 103 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 and proof · cited by 32,603
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- IsOpenMapstatement and proof · cited by 253
- AlgebraicGeometry.topologicallystatement and proof · cited by 35
- CategoryTheory.MorphismProperty.universallystatement and proof · cited by 30
- AlgebraicGeometry.UniversallyOpenstatement and proof · cited by 8
- AlgebraicGeometry.UniversallyOpen.casesOnproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.UniversallyOpen.eqproof · cited by 0