Theorems · Theorem · general topology
Metric.PiNatEmbed.continuous_distDenseSeq
∀ {X : Type u_3} [inst : MetricSpace X] [inst_1 : TopologicalSpace.SeparableSpace X] (n : ℕ),
Continuous (Metric.PiNatEmbed.distDenseSeq X n)- Defined in
- Mathlib.Topology.MetricSpace.PiNat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Set.Elemstatement · cited by 7,166
- Continuousstatement and proof · cited by 2,592
- MetricSpacestatement and proof · cited by 1,684
- IsEmptyproof · cited by 759
- unitIntervalstatement · cited by 607
- Continuous.compproof · cited by 371
- continuous_id'proof · cited by 295
- continuous_constproof · cited by 278
- isEmpty_or_nonemptyproof · cited by 269
- TopologicalSpace.SeparableSpacestatement and proof · cited by 109
Cited by1
Results whose statement or proof uses this declaration.
- Metric.PiNatEmbed.exists_embedding_to_hilbert_cubeproof · cited by 1