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Theorems · Theorem · number theory

Set.iUnion_unpair_prod

∀ {α : Type u_1} {β : Type u_2} {s : ℕ → Set α} {t : ℕ → Set β},
  ⋃ n, s (Nat.unpair n).1 ×ˢ t (Nat.unpair n).2 = (⋃ n, s n) ×ˢ ⋃ n, t n
Defined in
Mathlib.Data.Nat.Pairing
Cited by
1 results in Mathlib
Foundations
Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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IsCountablySpanning.prod · cited by 1IsCountablySpanning.prodSet · cited by 53352SetSet.iUnion · cited by 2483Set.iUnionSProd.sprod · cited by 1750SProd.sprodNat.unpair · cited by 67Nat.unpairFunction.Surjective.iUnion_comp · cited by 10Surjective.iUnion_compNat.surjective_unpair · cited by 3Nat.surjective_unpairSet.iUnion_prod · cited by 1Set.iUnion_prodSet.iUnion_unpair_prodCITED BYCITES

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Cited by1

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