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Theorems · Theorem · general topology

LocallyLipschitz.add

∀ {α : Type u_4} {E : Type u_5} [inst : SeminormedAddCommGroup E] [inst_1 : PseudoEMetricSpace α] {f g : α → E},
  LocallyLipschitz f → LocallyLipschitz g → LocallyLipschitz fun x => f x + g x
Defined in
Mathlib.Analysis.Normed.Group.Uniform
Cited by
1 results in Mathlib
Foundations
Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedAddCommGroupPseudoEMetricSpace
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Around this declaration

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LocallyLipschitz.sub · cited by 0LocallyLipschitz.subSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceLocallyLipschitz · cited by 34LocallyLipschitzLocallyLipschitzOn.add · cited by 2LocallyLipschitzOn.addlocallyLipschitzOn_univ · cited by 2locallyLipschitzOn_univLocallyLipschitz.locallyLipschitzOn · cited by 2LocallyLipschitz.locallyL…LocallyLipschitz.addCITED BYCITES

Cites6

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Cited by1

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