Mathlib Map

Theorems · Definition · general topology

Metric.PiNatEmbed.toPiNatEquiv

{ι : Type u_2} → (X : Type u_3) → (Y : ι → Type u_4) → (f : (i : ι) → X → Y i) → X ≃ Metric.PiNatEmbed X Y f

Equivalence between X and its embedding into ∀ i, Y i.

Defined in
Mathlib.Topology.MetricSpace.PiNat
Cited by
5 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Metric.PiNatEmbed.toPiNatHomeo · cited by 3PiNatEmbed.toPiNatHomeoMetric.PiNatEmbed.isHomeomorph_toPiNat · cited by 0PiNatEmbed.isHomeomorph_t…Metric.PiNatEmbed.ofPiNat_inj · cited by 0PiNatEmbed.ofPiNat_injMetric.PiNatEmbed.toPiNatEquiv_apply_ofPiNat · cited by 0PiNatEmbed.toPiNatEquiv_a…Metric.PiNatEmbed.toPiNatEquiv_symm_apply · cited by 0PiNatEmbed.toPiNatEquiv_s…Metric.PiNatEmbed.forall · cited by 0PiNatEmbed.forallEquiv · cited by 8337EquivMetric.PiNatEmbed · cited by 20Metric.PiNatEmbedMetric.PiNatEmbed.ofPiNat · cited by 11PiNatEmbed.ofPiNatPiNatEmbed.toPiNatEquivCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.