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Theorems · Theorem · general topology

locallyLipschitzOn_univ

∀ {α : Type u} {β : Type v} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] {f : α → β},
  LocallyLipschitzOn Set.univ f ↔ LocallyLipschitz f
Defined in
Mathlib.Topology.EMetricSpace.Lipschitz
Cited by
2 results in Mathlib
Foundations
Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpacePseudoEMetricSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LocallyLipschitz.locallyLipschitzOn · cited by 2LocallyLipschitz.locallyL…LocallyLipschitz.add · cited by 1LocallyLipschitz.addSet · cited by 53352Setnhds · cited by 5554nhdsNNReal · cited by 4310NNRealSet.univ · cited by 3945Set.univPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceLipschitzOnWith · cited by 164LipschitzOnWithnhdsWithin_univ · cited by 88nhdsWithin_univLocallyLipschitz · cited by 34LocallyLipschitzLocallyLipschitzOn · cited by 29LocallyLipschitzOnlocallyLipschitzOn_univCITED BYCITES

Cites9

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Cited by2

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