Theorems · Theorem · number theory
Nat.Prime.mem_primeFactors
∀ {n p : ℕ}, Nat.Prime p → p ∣ n → n ≠ 0 → p ∈ n.primeFactors- Defined in
- Mathlib.Data.Nat.PrimeFin
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Nat.Primestatement and proof · cited by 2,059
- Nat.primeFactorsstatement · cited by 129
- Nat.mem_primeFactorsproof · cited by 12
Cited by4
Results whose statement or proof uses this declaration.
- Nat.primeFactors_lcmUptoproof · cited by 2
- Choose.primeFactors_gcd_choose_of_isPrimePowproof · cited by 1
- Nat.Prime.mem_primeFactors_selfproof · cited by 0
- Nat.Prime.mem_primeFactors'proof · cited by 0