Theorems · Theorem · general topology
AntilipschitzWith.comap_uniformity_le
∀ {α : Type u_1} {β : Type u_2} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] {K : NNReal} {f : α → β},
AntilipschitzWith K f → Filter.comap (Prod.map f f) (uniformity β) ≤ uniformity α- Cited by
- 2 results in Mathlib
- Foundations
- Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealproof · cited by 9,879
- Filterstatement · cited by 8,121
- Set.ofPredproof · cited by 6,101
- Set.preimageproof · cited by 4,946
- NNRealstatement and proof · cited by 4,310
- mul_commproof · cited by 2,262
- PseudoEMetricSpacestatement and proof · cited by 1,536
- LT.lt.ne'proof · cited by 1,417
- ENNReal.ofNNRealproof · cited by 1,279
- LE.le.trans_ltproof · cited by 795
- uniformitystatement · cited by 765
- EDist.edistproof · cited by 735
Cited by2
Results whose statement or proof uses this declaration.
- AntilipschitzWith.isUniformInducingproof · cited by 8
- AntilipschitzWith.comap_nhds_leproof · cited by 1