Theorems · Theorem · general topology

Metric.smul_closedBall

∀ {G : Type v} {X : Type w} [inst : PseudoMetricSpace X] [inst_1 : Group G] [inst_2 : MulAction G X]
  [IsIsometricSMul G X] (c : G) (x : X) (r : ℝ), c • Metric.closedBall x r = Metric.closedBall (c • x) r

Defined in

Mathlib.Topology.MetricSpace.IsometricSMul

Cited by

3 results in Mathlib

Foundations

Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoMetricSpaceGroupMulActionIsIsometricSMul