Metric.diam_mono

∀ {α : Type u} [inst : PseudoMetricSpace α] {s t : Set α}, s ⊆ t → Bornology.IsBounded t → Metric.diam s ≤ Metric.diam t

If s ⊆ t, then the diameter of s is bounded by that of t, provided t is bounded.

Defined in: Mathlib.Topology.MetricSpace.Bounded
Cited by: 7 results in Mathlib
Foundations: Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PseudoMetricSpace

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