EMetric.mem_nhds_iff

∀ {α : Type u} [inst : PseudoEMetricSpace α] {x : α} {s : Set α}, s ∈ nhds x ↔ ∃ ε > 0, Metric.eball x ε ⊆ s

Defined in: Mathlib.Topology.EMetricSpace.Defs
Cited by: 3 results in Mathlib
Foundations: Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PseudoEMetricSpace

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