Theorems · Theorem · general topology
AntilipschitzWith.add_sub_lipschitzWith
∀ {α : Type u_4} {E : Type u_5} [inst : SeminormedAddCommGroup E] [inst_1 : PseudoEMetricSpace α] {Kf Kg : NNReal}
{f g : α → E}, AntilipschitzWith Kf f → LipschitzWith Kg (g - f) → Kg < Kf⁻¹ → AntilipschitzWith (Kf⁻¹ - Kg)⁻¹ g- Defined in
- Mathlib.Analysis.Normed.Group.Uniform
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRealstatement and proof · cited by 4,310
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- PseudoEMetricSpacestatement and proof · cited by 1,536
- LipschitzWithstatement and proof · cited by 316
- add_sub_cancelproof · cited by 195
- AntilipschitzWithstatement and proof · cited by 132
- AntilipschitzWith.add_lipschitzWithproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- LinearIndependent.eventuallyproof · cited by 1
- ContinuousLinearMap.isOpen_injectiveproof · cited by 0