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Theorems · Theorem · general topology

LocallyLipschitz.sub

∀ {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
0 results in Mathlib
Foundations
Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedAddCommGroupPseudoEMetricSpace
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SeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupPseudoEMetricSpace · cited by 1536PseudoEMetricSpacesub_eq_add_neg · cited by 1023sub_eq_add_negLocallyLipschitz · cited by 34LocallyLipschitzLocallyLipschitz.add · cited by 1LocallyLipschitz.addLocallyLipschitz.neg · cited by 1LocallyLipschitz.negLocallyLipschitz.subCITED BYCITES

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