Theorems · Theorem · number theory
Nat.dvd_of_mem_primeFactorsList
∀ {n p : ℕ}, p ∈ n.primeFactorsList → p ∣ n- Defined in
- Mathlib.Data.Nat.Factors
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LT.lt.ne'proof · cited by 1,417
- Nat.primeFactorsListstatement and proof · cited by 105
- dvd_zeroproof · cited by 63
- Nat.prime_of_mem_primeFactorsListproof · cited by 30
- Nat.mem_primeFactorsList_iff_dvdproof · cited by 4
Cited by8
Results whose statement or proof uses this declaration.
- Nat.mem_primeFactorsListproof · cited by 9
- jacobiSym.value_atproof · cited by 4
- jacobiSym.mod_leftproof · cited by 3
- Nat.coprime_primeFactorsList_disjointproof · cited by 3
- Nat.le_of_mem_primeFactorsListproof · cited by 2
- Nat.eq_prime_pow_of_unique_prime_dvdproof · cited by 1
- Nat.dvd_of_factorization_posproof · cited by 0
- jacobiSym.eq_neg_one_at_prime_divisor_of_eq_neg_oneproof · cited by 0