Theorems · Theorem · number theory
Nat.divisors_filter_squarefree
∀ {n : ℕ},
n ≠ 0 →
{d ∈ n.divisors | Squarefree d}.val =
Multiset.map (fun x => x.val.prod) (UniqueFactorizationMonoid.normalizedFactors n).toFinset.powerset.val- Defined in
- Mathlib.Data.Nat.Squarefree
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites46
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
- Unitsstatement · cited by 2,804
- Multisetstatement and proof · cited by 2,627
- le_transproof · cited by 985
- Finset.filterstatement and proof · cited by 949
- Multiset.mapstatement · cited by 876
- Multiset.prodstatement and proof · cited by 528
- Finset.valstatement and proof · cited by 438
- Associatedproof · cited by 296
- Multiset.toFinsetstatement and proof · cited by 230
- UniqueFactorizationMonoid.normalizedFactorsstatement and proof · cited by 151
- Multiset.Nodupproof · cited by 148
Cited by1
Results whose statement or proof uses this declaration.
- Nat.sum_divisors_filter_squarefreeproof · cited by 1