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Theorems · Theorem · general topology

Metric.infDist_singleton

∀ {α : Type u} [inst : PseudoMetricSpace α] {x y : α}, Metric.infDist x {y} = dist x y

The minimal distance to a singleton is the distance to the unique point in this singleton.

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

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