Theorems · Theorem · general topology
IsSigmaCompact.isLindelof
∀ {X : Type u} [inst : TopologicalSpace X] {s : Set X}, IsSigmaCompact s → IsLindelof sA σ-compact set s is Lindelöf
- Defined in
- Mathlib.Topology.Compactness.Lindelof
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
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Cites8
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
- TopologicalSpacestatement and proof · cited by 24,529
- Set.iUnionproof · cited by 2,483
- IsCompactproof · cited by 1,282
- IsLindelofstatement and proof · cited by 85
- IsSigmaCompactstatement and proof · cited by 24
- isLindelof_iUnionproof · cited by 2
- IsCompact.isLindelofproof · cited by 1
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