Theorems · Theorem · number theory
Nat.factorization_eq_one_of_squarefree
∀ {n p : ℕ}, Squarefree n → Nat.Prime p → p ∣ n → n.factorization p = 1- Defined in
- Mathlib.Data.Nat.Squarefree
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finsuppstatement · cited by 5,255
- Nat.Primestatement and proof · cited by 2,059
- LE.le.antisymmproof · cited by 507
- Nat.factorizationstatement · cited by 215
- Squarefreestatement and proof · cited by 112
- Squarefree.ne_zeroproof · cited by 18
- Nat.Prime.dvd_iff_one_le_factorizationproof · cited by 3
- Squarefree.natFactorization_le_oneproof · cited by 3
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