Theorems · Theorem · general topology

DilationEquiv.ratio_trans

∀ {X : Type u_1} {Y : Type u_2} {Z : Type u_3} [inst : PseudoEMetricSpace X] [inst_1 : PseudoEMetricSpace Y]
  [inst_2 : PseudoEMetricSpace Z] (e : X ≃ᵈ Y) (e' : Y ≃ᵈ Z),
  Dilation.ratio (e.trans e') = Dilation.ratio e * Dilation.ratio e'

Defined in

Mathlib.Topology.MetricSpace.DilationEquiv

Cited by

1 results in Mathlib

Foundations

Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoEMetricSpacePseudoEMetricSpacePseudoEMetricSpace