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Theorems · Theorem · logic and foundations

Set.countable_univ_pi

∀ {α : Type u} {π : α → Type u_1} [Finite α] {s : (a : α) → Set (π a)},
  (∀ (a : α), (s a).Countable) → (Set.univ.pi s).Countable
Defined in
Mathlib.Data.Set.Countable
Cited by
1 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Finite
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Around this declaration

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

Set.countable_pi · cited by 0Set.countable_piSet · cited by 53352SetSet.Elem · cited by 7166Set.ElemSet.univ · cited by 3945Set.univEquiv.symm · cited by 3681Equiv.symmFinite · cited by 3029FiniteCountable · cited by 633CountableSet.Countable · cited by 545Set.CountableSet.pi · cited by 405Set.piSet.Countable.to_subtype · cited by 33Countable.to_subtypeCountable.of_equiv · cited by 4Countable.of_equivEquiv.Set.univPi · cited by 4Set.univPiSet.countable_univ_piCITED BYCITES

Cites11

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Cited by1

Results whose statement or proof uses this declaration.