Theorems · Theorem · general topology
isLindelof_univ
∀ {X : Type u} [inst : TopologicalSpace X] [h : LindelofSpace X], IsLindelof Set.univ- Defined in
- Mathlib.Topology.Compactness.Lindelof
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Set.univstatement · cited by 3,945
- IsLindelofstatement · cited by 85
- LindelofSpacestatement and proof · cited by 24
- LindelofSpace.isLindelof_univproof · cited by 4
Cited by6
Results whose statement or proof uses this declaration.
- IsClosed.isLindelofproof · cited by 2
- isLindelof_rangeproof · cited by 1
- countable_of_Lindelof_of_discreteproof · cited by 1
- countable_cover_nhds_interiorproof · cited by 1
- Filter.coLindelof_eq_botproof · cited by 0
- cluster_point_of_Lindelofproof · cited by 0