Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.quasiSeparatedSpace_of_isOpenCover
∀ {X : AlgebraicGeometry.Scheme} {I : Type u_1} (U : I → X.Opens),
TopologicalSpace.IsOpenCover U →
(∀ (i : I), AlgebraicGeometry.IsAffineOpen (U i)) →
(∀ (i j : I), IsCompact (↑(U i) ∩ ↑(U j))) → QuasiSeparatedSpace ↥X- Cited by
- 0 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- IsCompactstatement and proof · cited by 1,282
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