Metric.infEDist_le_infEDist_add_hausdorffEDist

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

The distance from x to s or t is controlled in terms of the Hausdorff distance between s and t.

Defined in: Mathlib.Topology.MetricSpace.HausdorffDistance
Cited by: 4 results in Mathlib
Foundations: Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PseudoEMetricSpace

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