Theorems · Definition · general topology
Filter.coLindelof
(X : Type u_2) → [TopologicalSpace X] → Filter X
Filter.coLindelof is the filter generated by complements to Lindelöf sets.
- Defined in
- Mathlib.Topology.Compactness.Lindelof
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 50 from the axioms · uses propext, 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.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Filterstatement · cited by 8,121
- Compl.complproof · cited by 2,925
- iInfproof · cited by 1,690
- Filter.principalproof · cited by 740
- IsLindelofproof · cited by 85
Cited by12
Results whose statement or proof uses this declaration.
- hasBasis_coLindelofstatement · cited by 5
- IsLindelof.compl_mem_coLindelofstatement · cited by 3
- nonLindelofSpace_of_neBotstatement and proof · cited by 2
- mem_coLindelofstatement · cited by 2
- Topology.IsClosedEmbedding.tendsto_coLindelofstatement · cited by 1
- Filter.coLindelof_eq_botstatement · cited by 0
- Filter.coLindelof_neBot_iffstatement · cited by 0
- Filter.comap_coLindelof_lestatement · cited by 0
- Tendsto.isLindelof_insert_range_of_coLindelofstatement and proof · cited by 0
- mem_coLindelof'statement · cited by 0
- coLindelof_le_coclosedLindelofstatement · cited by 0
- coLindelof_le_cofinitestatement · cited by 0