Theorems · Theorem · number theory
Nat.squarefree_of_factorization_le_one
∀ {n : ℕ}, n ≠ 0 → (∀ (p : ℕ), n.factorization p ≤ 1) → Squarefree n- Defined in
- Mathlib.Data.Nat.Squarefree
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsuppstatement · cited by 5,255
- Nat.factorizationstatement and proof · cited by 215
- Squarefreestatement · cited by 112
- Nat.primeFactorsList_count_eqproof · cited by 11
- List.nodup_iff_count_le_oneproof · cited by 9
- Nat.squarefree_iff_nodup_primeFactorsListproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Nat.squarefree_iff_factorization_le_oneproof · cited by 0