Mathlib Map

Theorems · Theorem · logic and foundations

Set.to_countable

∀ {α : Type u} (s : Set α) [Countable ↑s], s.Countable

Prove Set.Countable from a Countable instance on the subtype.

Defined in
Mathlib.Data.Set.Countable
Cited by
46 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
Countable

Around this declaration

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

Cites4

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

  • Setstatement and proof · cited by 53,352
  • Set.Elemstatement and proof · cited by 7,166
  • Countablestatement and proof · cited by 633
  • Set.Countablestatement · cited by 545

Cited by46

Results whose statement or proof uses this declaration.