Theorems · Theorem · general topology

LipschitzOnWith.comp

∀ {α : Type u} {β : Type v} {γ : Type w} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β]
  [inst_2 : PseudoEMetricSpace γ] {K : NNReal} {s : Set α} {f : α → β} {g : β → γ} {t : Set β} {Kg : NNReal},
  LipschitzOnWith Kg g t → LipschitzOnWith K f s → Set.MapsTo f s t → LipschitzOnWith (Kg * K) (g ∘ f) s

Defined in

Mathlib.Topology.EMetricSpace.Lipschitz

Cited by

3 results in Mathlib

Foundations

Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoEMetricSpacePseudoEMetricSpacePseudoEMetricSpace