Theorems · Theorem · general topology
coLindelof_le_cofinite
∀ {X : Type u} [inst : TopologicalSpace X], Filter.coLindelof X ≤ Filter.cofinite- Defined in
- Mathlib.Topology.Compactness.Lindelof
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Cites8
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
- Filter.cofinitestatement and proof · cited by 251
- compl_complproof · cited by 229
- Filter.coLindelofstatement · cited by 12
- IsLindelof.compl_mem_coLindelofproof · cited by 3
- Set.Finite.isLindelofproof · cited by 1
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