Theorems · Theorem · general topology

Dilation.ratio_of_trivial

∀ {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 x y = 0 ∨ edist x y = ⊤) → Dilation.ratio f = 1

Defined in

Mathlib.Topology.MetricSpace.Dilation

Cited by

3 results in Mathlib

Foundations

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

Assumes

PseudoEMetricSpacePseudoEMetricSpaceFunLikeDilationClass