AlgebraicGeometry.Scheme.OpenCover.finiteSubcover

{X : AlgebraicGeometry.Scheme} → X.OpenCover → [H : CompactSpace ↥X] → X.OpenCover

Every open cover of a quasi-compact scheme can be refined into a finite subcover.

Defined in: Mathlib.AlgebraicGeometry.Cover.Open
Cited by: 11 results in Mathlib
Foundations: Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CompactSpace

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