Theorems · Theorem · general topology
Dilation.lipschitz
∀ {α : Type u_1} {β : Type u_2} {F : Type u_4} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β]
[inst_2 : FunLike F α β] [inst_3 : DilationClass F α β] (f : F), LipschitzWith (Dilation.ratio f) ⇑f- Defined in
- Mathlib.Topology.MetricSpace.Dilation
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Eq.leproof · cited by 605
- LipschitzWithstatement · cited by 316
- Dilation.ratiostatement · cited by 43
- DilationClassstatement and proof · cited by 41
- Dilation.edist_eqproof · cited by 10
Cited by6
Results whose statement or proof uses this declaration.
- Dilation.isUniformInducingproof · cited by 3
- Dilation.comap_coboundedproof · cited by 3
- Dilation.ediam_imageproof · cited by 2
- Dilation.isUniformEmbeddingproof · cited by 1
- Dilation.toContinuousproof · cited by 0
- Dilation.isClosedEmbeddingproof · cited by 0