Theorems · Theorem · general topology
AntilipschitzWith.mul_lipschitzWith
∀ {α : Type u_4} {E : Type u_5} [inst : SeminormedCommGroup E] [inst_1 : PseudoEMetricSpace α] {Kf Kg : NNReal}
{f g : α → E},
AntilipschitzWith Kf f → LipschitzWith Kg g → Kg < Kf⁻¹ → AntilipschitzWith (Kf⁻¹ - Kg)⁻¹ fun x => f x * g x- Defined in
- Mathlib.Analysis.Normed.Group.Uniform
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- NNRealstatement and proof · cited by 4,310
- mul_commproof · cited by 2,262
- LT.lt.leproof · cited by 2,189
- PseudoMetricSpaceproof · cited by 1,550
- Dist.distproof · cited by 1,539
- PseudoEMetricSpacestatement and proof · cited by 1,536
- NNReal.toRealproof · cited by 1,260
- le_transproof · cited by 985
- LipschitzWithstatement and proof · cited by 316
- SeminormedCommGroupstatement and proof · cited by 191
- sub_mulproof · cited by 170
Cited by1
Results whose statement or proof uses this declaration.
- AntilipschitzWith.mul_div_lipschitzWithproof · cited by 0