Theorems · Theorem · general topology

IsometryEquiv.image_emetric_ball

Deprecated since 2026-01-24Use IsometryEquiv.image_eball instead.

∀ {α : Type u} {β : Type v} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] (h : α ≃ᵢ β) (x : α)
  (r : ENNReal), ⇑h '' Metric.eball x r = Metric.eball (h x) r

Alias of IsometryEquiv.image_eball.

Defined in

Mathlib.Topology.MetricSpace.Isometry

Cited by

0 results in Mathlib

Foundations

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

Assumes

PseudoEMetricSpacePseudoEMetricSpace