Theorems · Theorem · general topology
AntilipschitzWith.isUniformInducing
∀ {α : Type u_1} {β : Type u_2} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] {K : NNReal} {f : α → β},
AntilipschitzWith K f → UniformContinuous f → IsUniformInducing f- Cited by
- 8 results in Mathlib
- Foundations
- Depth 149 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.
- NNRealstatement and proof · cited by 4,310
- le_antisymmproof · cited by 2,068
- PseudoEMetricSpacestatement and proof · cited by 1,536
- UniformContinuousstatement and proof · cited by 410
- AntilipschitzWithstatement and proof · cited by 132
- IsUniformInducingstatement · cited by 128
- Filter.Tendsto.le_comapproof · cited by 28
- AntilipschitzWith.comap_uniformity_leproof · cited by 2
Cited by8
Results whose statement or proof uses this declaration.
- Isometry.isUniformInducingproof · cited by 10
- AntilipschitzWith.isUniformEmbeddingproof · cited by 6
- Dilation.isUniformInducingproof · cited by 3
- AntilipschitzWith.isComplete_rangeproof · cited by 1
- uniformity_eq_of_bilipschitzproof · cited by 0
- PiLp.isUniformInducing_toLpproof · cited by 0
- Unitization.uniformity_eq_auxproof · cited by 0
- WithLp.isUniformInducing_toLpproof · cited by 0