uniformity_pseudoedist

∀ {α : Type u} [inst : PseudoEMetricSpace α],
  uniformity α = ⨅ ε, ⨅ (_ : ε > 0), Filter.principal {p | edist p.1 p.2 < ε}

Reformulation of the uniform structure in terms of the extended distance

Defined in: Mathlib.Topology.EMetricSpace.Defs
Cited by: 1 results in Mathlib
Foundations: Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PseudoEMetricSpace

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