Theorems · Theorem · general topology
Metric.PiNatEmbed.exists_embedding_to_hilbert_cube
∀ {X : Type u_3} [inst : MetricSpace X] [TopologicalSpace.SeparableSpace X], ∃ F, Topology.IsEmbedding F- Defined in
- Mathlib.Topology.MetricSpace.PiNat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Set.Elemstatement and proof · cited by 7,166
- MetricSpacestatement and proof · cited by 1,684
- Homeomorphproof · cited by 725
- unitIntervalstatement and proof · cited by 607
- Topology.IsEmbeddingstatement and proof · cited by 294
- TopologicalSpace.SeparableSpacestatement and proof · cited by 109
- Homeomorph.isEmbeddingproof · cited by 73
- Topology.IsEmbedding.compproof · cited by 29
- IsUniformEmbedding.isEmbeddingproof · cited by 25
Cited by1
Results whose statement or proof uses this declaration.
- exists_nat_bool_continuous_surjective_of_compactproof · cited by 0