metricSpaceEMetricBall

{β : Type u_2} → [inst : EMetricSpace β] → (a : β) → (r : ENNReal) → MetricSpace ↑(Metric.eball a r)

Each ball in an extended metric space gives us a metric space, as the edist is everywhere finite.

Defined in: Mathlib.Topology.Instances.ENNReal.Lemmas
Cited by: 0 results in Mathlib
Foundations: Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: EMetricSpace

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