Theorems · Theorem · number theory
Multiset.nat_divisors_prod
∀ (s : Multiset ℕ), s.prod.divisors = (Multiset.map Nat.divisors s).prod
- Defined in
- Mathlib.Data.Finset.NatDivisors
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Multisetstatement and proof · cited by 2,627
- Multiset.mapstatement · cited by 876
- Multiset.prodstatement · cited by 528
- Nat.divisorsstatement · cited by 137
- map_multiset_prodproof · cited by 21
- Nat.divisorsHomproof · cited by 4
- Finset.commMonoidstatement · cited by 3
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