Theorems · Theorem · general topology

LipschitzOnWith.closure

∀ {α : Type u_1} {β : Type u_2} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] {f : α → β} {s : Set α}
  {K : NNReal}, ContinuousOn f (closure s) → LipschitzOnWith K f s → LipschitzOnWith K f (closure s)

Defined in

Mathlib.Topology.Instances.ENNReal.Lemmas

Cited by

1 results in Mathlib

Foundations

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

Assumes

PseudoEMetricSpacePseudoEMetricSpace