Mathlib Map

Theorems · Definition · general topology

Metric.PiNatEmbed.casesOn

{ι : Type u_2} →
  {X : Type u_5} →
    {Y : ι → Type u_6} →
      {f : (i : ι) → X → Y i} →
        {motive : Metric.PiNatEmbed X Y f → Sort u} →
          (t : Metric.PiNatEmbed X Y f) → ((ofPiNat : X) → motive { ofPiNat := ofPiNat }) → motive t
Defined in
Mathlib.Topology.MetricSpace.PiNat
Cited by
1 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Metric.PiNatEmbed.ext · cited by 1PiNatEmbed.extMetric.PiNatEmbed.noConfusionType · cited by 0PiNatEmbed.noConfusionTypeMetric.PiNatEmbed.noConfusion · cited by 0PiNatEmbed.noConfusionMetric.PiNatEmbed · cited by 20Metric.PiNatEmbedPiNatEmbed.casesOnCITED BYCITES

Cites1

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

Cited by3

Results whose statement or proof uses this declaration.