AlgebraicGeometry.quasiSeparatedSpace_iff_forall_affineOpens

∀ {X : AlgebraicGeometry.Scheme}, QuasiSeparatedSpace ↥X ↔ ∀ (U V : ↑X.affineOpens), IsCompact (↑↑U ∩ ↑↑V)

Defined in: Mathlib.AlgebraicGeometry.Morphisms.QuasiSeparated
Cited by: 1 results in Mathlib
Foundations: Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Setstatement and proof · cited by 53,352
SetLike.coestatement and proof · cited by 8,199
Set.Elemstatement and proof · cited by 7,166
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AlgebraicGeometry.Schemestatement and proof · cited by 2,540
IsOpenproof · cited by 2,400
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AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement and proof · cited by 1,892
AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement and proof · cited by 1,734
IsCompactstatement and proof · cited by 1,282

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