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Theorems · Theorem · general topology

locallyLipschitzOn_inv_iff

∀ {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
Defined in
Mathlib.Analysis.Normed.Group.Uniform
Cited by
2 results in Mathlib
Foundations
Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedCommGroupPseudoEMetricSpace
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Around this declaration

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

LocallyLipschitzOn.inv · cited by 1LocallyLipschitzOn.invLocallyLipschitzOn.of_inv · cited by 0LocallyLipschitzOn.of_invSet · cited by 53352SetNNReal · cited by 4310NNRealnhdsWithin · cited by 1912nhdsWithinPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceSeminormedCommGroup · cited by 191SeminormedCommGroupLipschitzOnWith · cited by 164LipschitzOnWithLocallyLipschitzOn · cited by 29LocallyLipschitzOnlocallyLipschitzOn_inv_iffCITED BYCITES

Cites7

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Cited by2

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