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Theorems · Theorem · general topology

LipschitzWith.neg

∀ {α : Type u_4} {E : Type u_5} [inst : SeminormedAddCommGroup E] [inst_1 : PseudoEMetricSpace α] {K : NNReal}
  {f : α → E}, LipschitzWith K f → LipschitzWith K (-f)

Alias of the reverse direction of lipschitzWith_neg_iff.

Defined in
Mathlib.Analysis.Normed.Group.Uniform
Cited by
3 results in Mathlib
Foundations
Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedAddCommGroupPseudoEMetricSpace
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Around this declaration

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

LipschitzWith.sub · cited by 2LipschitzWith.subODE_solution_unique_of_mem_Icc_left · cited by 2ODE_solution_unique_of_me…lipschitzWith_negPart · cited by 1lipschitzWith_negPartNNReal · cited by 4310NNRealSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceLipschitzWith · cited by 316LipschitzWithlipschitzWith_neg_iff · cited by 2lipschitzWith_neg_iffLipschitzWith.negCITED BYCITES

Cites5

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Cited by3

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