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Theorems · Theorem · general topology

LipschitzWith.const

∀ {α : Type u} {β : Type v} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] (b : β),
  LipschitzWith 0 fun x => b

Constant functions are Lipschitz (with any constant).

Defined in
Mathlib.Topology.EMetricSpace.Lipschitz
Cited by
7 results in Mathlib
Foundations
Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpacePseudoEMetricSpace

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Cites6

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Cited by7

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