Theorems · Theorem · general topology
Dilation.isEmbedding
∀ {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), Topology.IsEmbedding ⇑fA dilation from a metric space is an embedding
- Defined in
- Mathlib.Topology.MetricSpace.Dilation
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Topology.IsEmbeddingstatement · cited by 294
- EMetricSpacestatement and proof · cited by 242
- DilationClassstatement and proof · cited by 41
- IsUniformEmbedding.isEmbeddingproof · cited by 25
- Dilation.isUniformEmbeddingproof · cited by 1
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