Theorems · Theorem · general topology

LipschitzOnWith.div

∀ {α : Type u_4} {E : Type u_5} [inst : SeminormedCommGroup E] [inst_1 : PseudoEMetricSpace α] {Kf Kg : NNReal}
  {f g : α → E} {s : Set α},
  LipschitzOnWith Kf f s → LipschitzOnWith Kg g s → LipschitzOnWith (Kf + Kg) (fun x => f x / g x) s

Defined in: Mathlib.Analysis.Normed.Group.Uniform
Cited by: 0 results in Mathlib
Foundations: Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: SeminormedCommGroup PseudoEMetricSpace

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Setstatement and proof · cited by 53,352
NNRealstatement and proof · cited by 4,310
PseudoEMetricSpacestatement and proof · cited by 1,536
div_eq_mul_invproof · cited by 715
SeminormedCommGroupstatement and proof · cited by 191
LipschitzOnWithstatement and proof · cited by 164
LipschitzOnWith.mulproof · cited by 3
LipschitzOnWith.invproof · cited by 1

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