Theorems · Theorem · general topology

IsometryClass.diam_image

∀ {F : Type u_1} {α : Type u} {β : Type v} [inst : PseudoMetricSpace α] [inst_1 : PseudoMetricSpace β]
  [inst_2 : FunLike F α β] [IsometryClass F α β] (f : F) (s : Set α), Metric.diam (⇑f '' s) = Metric.diam s

Defined in

Mathlib.Topology.MetricSpace.Isometry

Cited by

0 results in Mathlib

Foundations

Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoMetricSpacePseudoMetricSpaceFunLikeIsometryClass