Metric.diam_le_of_forall_dist_le

∀ {α : Type u} {s : Set α} [inst : PseudoMetricSpace α] {C : ℝ},
  0 ≤ C → (∀ x ∈ s, ∀ y ∈ s, dist x y ≤ C) → Metric.diam s ≤ C

If the distance between any two points in a set is bounded by some non-negative constant, this constant bounds the diameter.

Defined in: Mathlib.Topology.MetricSpace.Bounded
Cited by: 5 results in Mathlib
Foundations: Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PseudoMetricSpace

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