Theorems · Theorem · logic and foundations
Set.countable_pi
∀ {α : Type u} {π : α → Type u_1} [Finite α] {s : (a : α) → Set (π a)},
(∀ (a : α), (s a).Countable) → {f | ∀ (a : α), f a ∈ s a}.Countable- Defined in
- Mathlib.Data.Set.Countable
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Finite
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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.ofPredstatement and proof · cited by 6,101
- Finitestatement and proof · cited by 3,029
- Set.Countablestatement and proof · cited by 545
- Set.countable_univ_piproof · cited by 1
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