Theorems · Theorem · general topology

Metric.infEDist_smul

∀ {α : Type u} [inst : PseudoEMetricSpace α] {M : Type u_2} [inst_1 : SMul M α] [IsIsometricSMul M α] (c : M) (x : α)
  (s : Set α), Metric.infEDist (c • x) (c • s) = Metric.infEDist x s

Defined in

Mathlib.Topology.MetricSpace.HausdorffDistance

Cited by

1 results in Mathlib

Foundations

Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoEMetricSpaceSMulIsIsometricSMul