Theorems · Theorem · general topology
Dilation.isClosedEmbedding
∀ {α : Type u_1} {β : Type u_2} {F : Type u_4} [inst : EMetricSpace α] [inst_1 : FunLike F α β] [CompleteSpace α]
[inst_3 : EMetricSpace β] [DilationClass F α β] (f : F), Topology.IsClosedEmbedding ⇑fA dilation from a complete emetric space is a closed 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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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
- CompleteSpacestatement and proof · cited by 2,532
- EMetricSpacestatement and proof · cited by 242
- Topology.IsClosedEmbeddingstatement · cited by 195
- DilationClassstatement and proof · cited by 41
- LipschitzWith.uniformContinuousproof · cited by 33
- Dilation.antilipschitzproof · cited by 6
- Dilation.lipschitzproof · cited by 6
- AntilipschitzWith.isClosedEmbeddingproof · cited by 3
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