Theorems · Theorem · general topology

Metric.preimage_mul_left_eball

∀ {G : Type v} [inst : Group G] [inst_1 : PseudoEMetricSpace G] [IsIsometricSMul G G] (a b : G) (r : ENNReal),
  (fun x => a * x) ⁻¹' Metric.eball b r = Metric.eball (a⁻¹ * b) r

Defined in

Mathlib.Topology.MetricSpace.IsometricSMul

Cited by

1 results in Mathlib

Foundations

Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupPseudoEMetricSpaceIsIsometricSMul