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Theorems · Theorem · general topology

IsLindelof.union

∀ {X : Type u} [inst : TopologicalSpace X] {s t : Set X}, IsLindelof s → IsLindelof t → IsLindelof (s ∪ t)
Defined in
Mathlib.Topology.Compactness.Lindelof
Cited by
3 results in Mathlib
Foundations
Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

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

hasBasis_coLindelof · cited by 5hasBasis_coLindelofhasBasis_coclosedLindelof · cited by 2hasBasis_coclosedLindelofIsLindelof.insert · cited by 0IsLindelof.insertSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceIsLindelof · cited by 85IsLindelofSet.union_eq_iUnion · cited by 28Set.union_eq_iUnionisLindelof_iUnion · cited by 2isLindelof_iUnionIsLindelof.unionCITED BYCITES

Cites5

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

Cited by3

Results whose statement or proof uses this declaration.