Theorems · Theorem · general topology

IsometryEquiv.preimage_eball

∀ {α : Type u} {β : Type v} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] (h : α ≃ᵢ β) (x : β)
  (r : ENNReal), ⇑h ⁻¹' Metric.eball x r = Metric.eball (h.symm x) r

Defined in

Mathlib.Topology.MetricSpace.Isometry

Cited by

2 results in Mathlib

Foundations

Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoEMetricSpacePseudoEMetricSpace