Metric.hausdorffEDist_triangle

∀ {α : Type u} [inst : PseudoEMetricSpace α] {s t u : Set α},
  Metric.hausdorffEDist s u ≤ Metric.hausdorffEDist s t + Metric.hausdorffEDist t u

The Hausdorff distance satisfies the triangle inequality.

Defined in: Mathlib.Topology.MetricSpace.HausdorffDistance
Cited by: 3 results in Mathlib
Foundations: Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PseudoEMetricSpace

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