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Theorems · Theorem · general topology

LocallyLipschitzOn.inv

∀ {α : Type u_4} {E : Type u_5} [inst : SeminormedCommGroup E] [inst_1 : PseudoEMetricSpace α] {f : α → E} {s : Set α},
  LocallyLipschitzOn s f → LocallyLipschitzOn s f⁻¹

Alias of the reverse direction of locallyLipschitzOn_inv_iff.

Defined in
Mathlib.Analysis.Normed.Group.Uniform
Cited by
1 results in Mathlib
Foundations
Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedCommGroupPseudoEMetricSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

LocallyLipschitzOn.div · cited by 0LocallyLipschitzOn.divSet · cited by 53352SetPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceSeminormedCommGroup · cited by 191SeminormedCommGroupLocallyLipschitzOn · cited by 29LocallyLipschitzOnlocallyLipschitzOn_inv_iff · cited by 2locallyLipschitzOn_inv_iffLocallyLipschitzOn.invCITED BYCITES

Cites5

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Cited by1

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