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Theorems · Theorem · general topology

IsClosed.weaklyLocallyCompactSpace

∀ {X : Type u_1} [inst : TopologicalSpace X] [WeaklyLocallyCompactSpace X] {s : Set X},
  IsClosed s → WeaklyLocallyCompactSpace ↑s
Defined in
Mathlib.Topology.Compactness.LocallyCompact
Cited by
0 results in Mathlib
Foundations
Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceWeaklyLocallyCompactSpace
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Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceSet.Elem · cited by 7166Set.ElemIsClosed · cited by 1639IsClosedWeaklyLocallyCompactSpace · cited by 35WeaklyLocallyCompactSpaceIsClosed.isClosedEmbedding_subtypeVal · cited by 19IsClosed.isClosedEmbeddin…Topology.IsClosedEmbedding.weaklyLocallyCompactSpace · cited by 1IsClosedEmbedding.weaklyL…IsClosed.weaklyLocallyCompact…CITED BYCITES

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