Theorems · Theorem · general topology

Dense.lipschitzWith_extend

∀ {α : Type u_4} {β : Type u_5} [inst : PseudoEMetricSpace α] [inst_1 : EMetricSpace β] [CompleteSpace β] {s : Set α}
  (hs : Dense s) {f : ↑s → β} {K : NNReal}, LipschitzWith K f → LipschitzWith K (hs.extend f)

Defined in

Mathlib.Topology.Instances.ENNReal.Lemmas

Cited by

1 results in Mathlib

Foundations

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

Assumes

PseudoEMetricSpaceEMetricSpaceCompleteSpace