Theorems · Theorem · general topology

LocallyLipschitzOn.continuousOn

∀ {α : Type u} {β : Type v} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] {f : α → β} {s : Set α},
  LocallyLipschitzOn s f → ContinuousOn f s

Defined in

Mathlib.Topology.EMetricSpace.Lipschitz

Cited by

6 results in Mathlib

Foundations

Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoEMetricSpacePseudoEMetricSpace