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Theorems · Theorem · logic and foundations

Set.Countable.nonempty_encodable

∀ {α : Type u} {s : Set α}, s.Countable → Nonempty (Encodable ↑s)

Alias of the forward direction of Set.countable_iff_nonempty_encodable.

Defined in
Mathlib.Data.Set.Countable
Cited by
0 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Set.Countable.toEncodable · cited by 22Countable.toEncodableSet · cited by 53352SetSet.Elem · cited by 7166Set.ElemSet.Countable · cited by 545Set.CountableEncodable · cited by 140EncodableSet.countable_iff_nonempty_encodable · cited by 1Set.countable_iff_nonempt…Countable.nonempty_encodableCITED BYCITES

Cites5

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Cited by1

Results whose statement or proof uses this declaration.