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Theorems · Theorem · general topology

AntilipschitzWith.of_subsingleton

∀ {α : Type u_1} {β : Type u_2} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] {f : α → β}
  [Subsingleton α] {K : NNReal}, AntilipschitzWith K f
Defined in
Mathlib.Topology.MetricSpace.Antilipschitz
Cited by
2 results in Mathlib
Foundations
Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpacePseudoEMetricSpaceSubsingleton
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Around this declaration

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

ApproximatesLinearOn.antilipschitz · cited by 3ApproximatesLinearOn.anti…LinearMap.exists_antilipschitzWith · cited by 2LinearMap.exists_antilips…NNReal · cited by 4310NNRealPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceENNReal.ofNNReal · cited by 1279ENNReal.ofNNRealEDist.edist · cited by 735EDist.edistAntilipschitzWith · cited by 132AntilipschitzWithPseudoEMetricSpace.edist_self · cited by 50PseudoEMetricSpace.edist_…AntilipschitzWith.of_subsingl…CITED BYCITES

Cites6

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Cited by2

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