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Theorems · Theorem · general topology

LocallyLipschitzOn.of_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⁻¹ → LocallyLipschitzOn s f

Alias of the forward direction of locallyLipschitzOn_inv_iff.

Defined in
Mathlib.Analysis.Normed.Group.Uniform
Cited by
0 results in Mathlib
Foundations
Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedCommGroupPseudoEMetricSpace
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Set · cited by 53352SetPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceSeminormedCommGroup · cited by 191SeminormedCommGroupLocallyLipschitzOn · cited by 29LocallyLipschitzOnlocallyLipschitzOn_inv_iff · cited by 2locallyLipschitzOn_inv_iffLocallyLipschitzOn.of_invCITED BYCITES

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