Metric.exists_pos_forall_lt_edist

∀ {α : Type u} [inst : PseudoEMetricSpace α] {s t : Set α},
  IsCompact s → IsClosed t → Disjoint s t → ∃ r, 0 < r ∧ ∀ x ∈ s, ∀ y ∈ t, ↑r < edist x y

Defined in: Mathlib.Topology.MetricSpace.HausdorffDistance
Cited by: 2 results in Mathlib
Foundations: Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PseudoEMetricSpace

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