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Theorems · Theorem · general topology

Real.ediam_eq

∀ {s : Set ℝ}, Bornology.IsBounded s → Metric.ediam s = ENNReal.ofReal (sSup s - sInf s)

For a bounded set s : Set ℝ, its ediam is equal to sSup s - sInf s reinterpreted as ℝ≥0∞.

Defined in
Mathlib.Topology.Instances.ENNReal.Lemmas
Cited by
4 results in Mathlib
Foundations
Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound

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