Theorems · Theorem · general topology

Metric.nhds_basis_closedBall_pow

∀ {α : Type u} [inst : PseudoMetricSpace α] {x : α} {r : ℝ},
  0 < r → r < 1 → (nhds x).HasBasis (fun x => True) fun n => Metric.closedBall x (r ^ n)

Defined in

Mathlib.Topology.MetricSpace.Pseudo.Defs

Cited by

1 results in Mathlib

Foundations

Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoMetricSpace