Theorems · Theorem · logic and foundations
Countable.to_set
∀ {α : Type u} {s : Set α}, Countable ↑s → s.CountableRestate Set.Countable as a Countable instance.
- Defined in
- Mathlib.Data.Set.Countable
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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 · cited by 7,166
- Countablestatement · cited by 633
- Set.Countablestatement · cited by 545
- Set.countable_coe_iffproof · cited by 15
Cited by3
Results whose statement or proof uses this declaration.
- Set.countable_rangeproof · cited by 31
- FirstOrder.Language.Substructure.cg_iff_countableproof · cited by 1
- FirstOrder.Language.Substructure.cg_of_countableproof · cited by 0