Metric.hausdorffEDist_empty

∀ {α : Type u} [inst : PseudoEMetricSpace α] {s : Set α}, s.Nonempty → Metric.hausdorffEDist s ∅ = ⊤

The Hausdorff edistance to the empty set is infinite.

Defined in: Mathlib.Topology.MetricSpace.HausdorffDistance
Cited by: 3 results in Mathlib
Foundations: Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PseudoEMetricSpace

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