Theorems · Theorem · algebraic geometry
AlgebraicGeometry.universallyClosed_eq_universallySpecializing
@AlgebraicGeometry.UniversallyClosed = (AlgebraicGeometry.topologically @SpecializingMap).universally ⊓ @AlgebraicGeometry.QuasiCompact
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Quiver.Homstatement and proof · cited by 32,603
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- le_antisymmproof · cited by 2,068
- IsClosedMapproof · cited by 138
- AlgebraicGeometry.QuasiCompactstatement and proof · cited by 102
- AlgebraicGeometry.topologicallystatement and proof · cited by 35
- CategoryTheory.MorphismProperty.universallystatement and proof · cited by 30
- AlgebraicGeometry.UniversallyClosedstatement and proof · cited by 24
- SpecializingMapstatement and proof · cited by 21
- AlgebraicGeometry.Scheme.Hom.isClosedMapproof · cited by 6
- CategoryTheory.MorphismProperty.universally_monoproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.UniversallyClosed.eq_valuativeCriterionproof · cited by 2