Mathlib Map

Theorems · Theorem · general topology

IsCompact.isLindelof

∀ {X : Type u} [inst : TopologicalSpace X] {s : Set X}, IsCompact s → IsLindelof s

A compact set s is Lindelöf.

Defined in
Mathlib.Topology.Compactness.Lindelof
Cited by
1 results in Mathlib
Foundations
Depth 50 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsSigmaCompact.isLindelof · cited by 0IsSigmaCompact.isLindelofSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceFilter · cited by 8121FilterIsCompact · cited by 1282IsCompactFilter.NeBot · cited by 853Filter.NeBotFilter.principal · cited by 740Filter.principalIsLindelof · cited by 85IsLindelofCountableInterFilter · cited by 78CountableInterFilterIsCompact.isLindelofCITED BYCITES

Cites8

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

Cited by1

Results whose statement or proof uses this declaration.