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Theorems · Theorem · general topology

antilipschitzWith_inv_iff

∀ {α : Type u_4} {E : Type u_5} [inst : SeminormedCommGroup E] [inst_1 : PseudoEMetricSpace α] {K : NNReal} {f : α → E},
  AntilipschitzWith K f⁻¹ ↔ AntilipschitzWith K f
Defined in
Mathlib.Analysis.Normed.Group.Uniform
Cited by
2 results in Mathlib
Foundations
Depth 155 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.

AntilipschitzWith.inv · cited by 0AntilipschitzWith.invAntilipschitzWith.of_inv · cited by 0AntilipschitzWith.of_invNNReal · cited by 4310NNRealPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceENNReal.ofNNReal · cited by 1279ENNReal.ofNNRealEDist.edist · cited by 735EDist.edistSeminormedCommGroup · cited by 191SeminormedCommGroupAntilipschitzWith · cited by 132AntilipschitzWithedist_inv_inv · cited by 6edist_inv_invantilipschitzWith_inv_iffCITED BYCITES

Cites7

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Cited by2

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