Theorems · Theorem · general topology

IsometryClass.edist_eq

∀ {F : Type u_1} {α : Type u} {β : Type v} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β]
  [inst_2 : FunLike F α β] [IsometryClass F α β] (f : F) (x y : α), edist (f x) (f y) = edist x y

Defined in

Mathlib.Topology.MetricSpace.Isometry

Cited by

0 results in Mathlib

Foundations

Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoEMetricSpacePseudoEMetricSpaceFunLikeIsometryClass