Theorems · Theorem · number theory
Finset.nat_divisors_prod
∀ {ι : Type u_1} (s : Finset ι) (f : ι → ℕ), (∏ i ∈ s, f i).divisors = ∏ i ∈ s, (f i).divisors- Defined in
- Mathlib.Data.Finset.NatDivisors
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Finset.prodstatement · cited by 2,356
- Nat.divisorsstatement · cited by 137
- map_prodproof · cited by 108
- Nat.divisorsHomproof · cited by 4
- Finset.commMonoidstatement · cited by 3
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