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Theorems · Theorem · general topology

Metric.hausdorffDist_closure

∀ {α : Type u} [inst : PseudoMetricSpace α] {s t : Set α},
  Metric.hausdorffDist (closure s) (closure t) = Metric.hausdorffDist s t

The Hausdorff distances between two sets and their closures coincide.

Defined in
Mathlib.Topology.MetricSpace.HausdorffDistance
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Foundations
Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoMetricSpace

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