Metric.ediam_union_le

∀ {X : Type u_2} {s t : Set X} [inst : PseudoEMetricSpace X],
  (s ∩ t).Nonempty → Metric.ediam (s ∪ t) ≤ Metric.ediam s + Metric.ediam t

If two sets have nonempty intersection, then the extended diameter of their union is estimated from above by the sum of their union.

Defined in: Mathlib.Topology.EMetricSpace.Diam
Cited by: 1 results in Mathlib
Foundations: Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PseudoEMetricSpace

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