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Theorems · Theorem · general topology

AntilipschitzWith.inv

∀ {α : Type u_4} {E : Type u_5} [inst : SeminormedCommGroup E] [inst_1 : PseudoEMetricSpace α] {K : NNReal} {f : α → E},
  AntilipschitzWith K f → AntilipschitzWith K f⁻¹

Alias of the reverse direction of antilipschitzWith_inv_iff.

Defined in
Mathlib.Analysis.Normed.Group.Uniform
Cited by
0 results in Mathlib
Foundations
Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedCommGroupPseudoEMetricSpace
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NNReal · cited by 4310NNRealPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceSeminormedCommGroup · cited by 191SeminormedCommGroupAntilipschitzWith · cited by 132AntilipschitzWithantilipschitzWith_inv_iff · cited by 2antilipschitzWith_inv_iffAntilipschitzWith.invCITED BYCITES

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