Metric.totallyBounded_iff

∀ {α : Type u} [inst : PseudoMetricSpace α] {s : Set α},
  TotallyBounded s ↔ ∀ ε > 0, ∃ t, t.Finite ∧ s ⊆ ⋃ y ∈ t, Metric.ball y ε

Defined in: Mathlib.Topology.MetricSpace.Pseudo.Basic
Cited by: 5 results in Mathlib
Foundations: Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PseudoMetricSpace

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