Theorems · Theorem · number theory
Nat.Squarefree.ext_iff
∀ {n m : ℕ}, Squarefree n → Squarefree m → (n = m ↔ ∀ (p : ℕ), Nat.Prime p → (p ∣ n ↔ p ∣ m))- Defined in
- Mathlib.Data.Nat.Squarefree
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Nat.Primestatement and proof · cited by 2,059
- not_leproof · cited by 328
- Nat.factorizationproof · cited by 215
- not_iff_notproof · cited by 159
- Squarefreestatement and proof · cited by 112
- Nat.factorization_eq_zero_of_not_primeproof · cited by 22
- Squarefree.ne_zeroproof · cited by 18
- Nat.eq_of_factorization_eqproof · cited by 7
- Nat.Prime.dvd_iff_one_le_factorizationproof · cited by 3
- Squarefree.natFactorization_le_oneproof · cited by 3
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