Theorems · Theorem · general topology
Set.Countable.isLindelof
∀ {X : Type u} [inst : TopologicalSpace X] {s : Set X}, s.Countable → IsLindelof s- Defined in
- Mathlib.Topology.Compactness.Lindelof
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.Countablestatement and proof · cited by 545
- IsLindelofstatement · cited by 85
- Set.biUnion_of_singletonproof · cited by 43
- Set.Countable.isLindelof_biUnionproof · cited by 4
- isLindelof_singletonproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- isLindelof_iff_countableproof · cited by 0