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Theorems · Theorem · general topology

tendsto_closedBall_smallSets

∀ {α : Type u_2} [inst : PseudoMetricSpace α] (x : α), Filter.Tendsto (Metric.closedBall x) (nhds 0) (nhds x).smallSets
Defined in
Mathlib.Topology.MetricSpace.Pseudo.Lemmas
Cited by
1 results in Mathlib
Foundations
Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoMetricSpace
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Around this declaration

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

Vitali.exists_disjoint_covering_ae · cited by 1Vitali.exists_disjoint_co…Set · cited by 53352SetReal · cited by 25697Realnhds · cited by 5554nhdsFilter.Tendsto · cited by 3814Filter.TendstoPseudoMetricSpace · cited by 1550PseudoMetricSpaceMetric.closedBall · cited by 704Metric.closedBallFilter.smallSets · cited by 89Filter.smallSetsFilter.tendsto_smallSets_iff · cited by 7Filter.tendsto_smallSets_…eventually_closedBall_subset · cited by 3eventually_closedBall_sub…tendsto_closedBall_smallSetsCITED BYCITES

Cites9

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Cited by1

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