Theorems · Theorem · general topology

IsometryEquiv.ediam_preimage

∀ {α : Type u} {β : Type v} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] (h : α ≃ᵢ β) (s : Set β),
  Metric.ediam (⇑h ⁻¹' s) = Metric.ediam s

Defined in

Mathlib.Topology.MetricSpace.Isometry

Cited by

0 results in Mathlib

Foundations

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

Assumes

PseudoEMetricSpacePseudoEMetricSpace