Theorems · Theorem · number theory
Nat.primeFactors_prod_primeFactors
∀ (n : ℕ), (∏ p ∈ n.primeFactors, p).primeFactors = n.primeFactors
- Defined in
- Mathlib.Data.Nat.Squarefree
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 88 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.
- Finsetstatement · cited by 13,712
- Finset.prodstatement · cited by 2,356
- Nat.primeFactorsstatement and proof · cited by 129
- Nat.mem_primeFactorsproof · cited by 12
- Nat.primeFactors_prodproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Nat.prod_primeFactors_dvd_iffproof · cited by 1
- Nat.primeFactors_radicalproof · cited by 0