Theorems · Theorem · general topology

Metric.uniformity_basis_dist_pow

∀ {α : Type u} [inst : PseudoMetricSpace α] {r : ℝ},
  0 < r → r < 1 → (uniformity α).HasBasis (fun x => True) fun n => {p | dist p.1 p.2 < r ^ n}

Defined in

Mathlib.Topology.MetricSpace.Pseudo.Defs

Cited by

2 results in Mathlib

Foundations

Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoMetricSpace