EMetric.cauchy_iff

∀ {α : Type u} [inst : PseudoEMetricSpace α] {f : Filter α},
  Cauchy f ↔ f ≠ ⊥ ∧ ∀ ε > 0, ∃ t ∈ f, ∀ x ∈ t, ∀ y ∈ t, edist x y < ε

ε-δ characterization of Cauchy sequences on pseudoemetric spaces

Defined in: Mathlib.Topology.EMetricSpace.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 147 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PseudoEMetricSpace

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