Metric.hausdorffEDist_le_ediam

∀ {α : Type u} [inst : PseudoEMetricSpace α] {s t : Set α},
  s.Nonempty → t.Nonempty → Metric.hausdorffEDist s t ≤ Metric.ediam (s ∪ t)

The Hausdorff distance is controlled by the diameter of the union.

Defined in: Mathlib.Topology.MetricSpace.HausdorffDistance
Cited by: 1 results in Mathlib
Foundations: Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PseudoEMetricSpace

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