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Theorems · Theorem · general topology

LipschitzWith.mul

∀ {α : Type u_4} {E : Type u_5} [inst : SeminormedCommGroup E] [inst_1 : PseudoEMetricSpace α] {Kf Kg : NNReal}
  {f g : α → E}, LipschitzWith Kf f → LipschitzWith Kg g → LipschitzWith (Kf + Kg) fun x => f x * g x
Defined in
Mathlib.Analysis.Normed.Group.Uniform
Cited by
1 results in Mathlib
Foundations
Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedCommGroupPseudoEMetricSpace
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Around this declaration

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LipschitzWith.div · cited by 0LipschitzWith.divNNReal · cited by 4310NNRealPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceLipschitzWith · cited by 316LipschitzWithSeminormedCommGroup · cited by 191SeminormedCommGroupLipschitzWith.lipschitzOnWith · cited by 16LipschitzWith.lipschitzOn…LipschitzOnWith.mul · cited by 3LipschitzOnWith.mulLipschitzWith.mulCITED BYCITES

Cites6

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Cited by1

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