Theorems · Theorem · general topology

EMetric.vadd_ball

Deprecated since 2026-01-24Use Metric.vadd_eball instead.

∀ {G : Type v} {X : Type w} [inst : PseudoEMetricSpace X] [inst_1 : AddGroup G] [inst_2 : AddAction G X]
  [IsIsometricVAdd G X] (c : G) (x : X) (r : ENNReal), c +ᵥ Metric.eball x r = Metric.eball (c +ᵥ x) r

Alias of Metric.vadd_eball.

Defined in

Mathlib.Topology.MetricSpace.IsometricSMul

Cited by

0 results in Mathlib

Foundations

Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoEMetricSpaceAddGroupAddActionIsIsometricVAdd