Theorems · Theorem · general topology
Dilation.isUniformEmbedding
∀ {α : Type u_1} {β : Type u_2} {F : Type u_4} [inst : EMetricSpace α] [inst_1 : FunLike F α β]
[inst_2 : PseudoEMetricSpace β] [DilationClass F α β] (f : F), IsUniformEmbedding ⇑fA dilation from a metric space is a uniform embedding
- Defined in
- Mathlib.Topology.MetricSpace.Dilation
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- EMetricSpacestatement and proof · cited by 242
- IsUniformEmbeddingstatement · cited by 107
- DilationClassstatement and proof · cited by 41
- LipschitzWith.uniformContinuousproof · cited by 33
- Dilation.antilipschitzproof · cited by 6
- AntilipschitzWith.isUniformEmbeddingproof · cited by 6
- Dilation.lipschitzproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Dilation.isEmbeddingproof · cited by 0