Metric.infEDist_zero_of_mem

∀ {α : Type u} [inst : PseudoEMetricSpace α] {x : α} {s : Set α}, x ∈ s → Metric.infEDist x s = 0

If a point x belongs to s, then its edist to s vanishes

Defined in: Mathlib.Topology.MetricSpace.HausdorffDistance
Cited by: 7 results in Mathlib
Foundations: Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PseudoEMetricSpace

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