Theorems · Theorem · general topology

Dilation.edist_eq

∀ {α : Type u_1} {β : Type u_2} {F : Type u_4} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β]
  [inst_2 : FunLike F α β] [inst_3 : DilationClass F α β] (f : F) (x y : α),
  edist (f x) (f y) = ↑(Dilation.ratio f) * edist x y

Defined in

Mathlib.Topology.MetricSpace.Dilation

Cited by

10 results in Mathlib

Foundations

Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoEMetricSpacePseudoEMetricSpaceFunLikeDilationClass