Theorems · Theorem · general topology
IsLindelof.insert
∀ {X : Type u} [inst : TopologicalSpace X] {s : Set X}, IsLindelof s → ∀ (a : X), IsLindelof (insert a s)- Defined in
- Mathlib.Topology.Compactness.Lindelof
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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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.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- IsLindelofstatement and proof · cited by 85
- isLindelof_singletonproof · cited by 4
- IsLindelof.unionproof · cited by 3
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