Theorems · Theorem · general topology
AntilipschitzWith.isEmbedding
∀ {α : Type u_4} {β : Type u_5} [inst : EMetricSpace α] [inst_1 : PseudoEMetricSpace β] {K : NNReal} {f : α → β},
AntilipschitzWith K f → Continuous f → Topology.IsEmbedding f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 151 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.
- NNRealstatement and proof · cited by 4,310
- Continuousstatement and proof · cited by 2,592
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Topology.IsEmbeddingstatement · cited by 294
- EMetricSpacestatement and proof · cited by 242
- AntilipschitzWithstatement and proof · cited by 132
- Topology.IsInducing.isEmbeddingproof · cited by 5
- AntilipschitzWith.isInducingproof · cited by 1
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