Theorems · Theorem · number theory
Nat.prod_primeFactors_coe_pow_factorization
∀ {n : ℕ}, n ≠ 0 → n = ∏ p, ↑p ^ n.factorization ↑p- Defined in
- Mathlib.Data.Nat.Factorization.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsetstatement · cited by 13,712
- Finsuppstatement · cited by 5,255
- Finset.univstatement · cited by 3,473
- Finset.prodstatement · cited by 2,356
- Nat.factorizationstatement and proof · cited by 215
- Nat.primeFactorsstatement · cited by 129
- Finsupp.prod_attach_indexproof · cited by 2
- Nat.prod_primeFactors_pow_factorizationproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- ZMod.equivPiproof · cited by 0
- Choose.gcd_choose_eq_minFac_of_isPrimePowproof · cited by 0
- Nat.prod_pow_primeFactors_factorizationproof · cited by 0