Theorems · Theorem · number theory
Nat.squarefree_iff_nodup_primeFactorsList
∀ {n : ℕ}, n ≠ 0 → (Squarefree n ↔ n.primeFactorsList.Nodup)- Defined in
- Mathlib.Data.Nat.Squarefree
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetproof · cited by 2,627
- Multiset.Nodupproof · cited by 148
- Squarefreestatement · cited by 112
- Nat.primeFactorsListstatement and proof · cited by 105
- Nat.factors_eqproof · cited by 5
- UniqueFactorizationMonoid.squarefree_iff_nodup_normalizedFactorsproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- Squarefree.nodup_primeFactorsListproof · cited by 1
- Nat.squarefree_of_factorization_le_oneproof · cited by 1
- ArithmeticFunction.cardDistinctFactors_eq_cardFactors_iff_squarefreeproof · cited by 0
- Nat.squarefree_twoproof · cited by 0