IsCompact.exists_infEDist_eq_edist

∀ {α : Type u} [inst : PseudoEMetricSpace α] {s : Set α},
  IsCompact s → s.Nonempty → ∀ (x : α), ∃ y ∈ s, Metric.infEDist x s = edist x y

Defined in: Mathlib.Topology.MetricSpace.HausdorffDistance
Cited by: 3 results in Mathlib
Foundations: Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PseudoEMetricSpace

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