Theorems · Theorem · number theory
Nat.factorization_eq_primeFactorsList_multiset
∀ (n : ℕ), n.factorization = Multiset.toFinsupp ↑n.primeFactorsList
- Defined in
- Mathlib.Data.Nat.Factorization.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Finsuppstatement · cited by 5,255
- Multisetstatement · cited by 2,627
- AddEquivstatement · cited by 1,087
- Finsupp.extproof · cited by 399
- Multiset.ofListstatement · cited by 290
- Nat.factorizationstatement and proof · cited by 215
- Nat.primeFactorsListstatement and proof · cited by 105
- Multiset.toFinsuppstatement · cited by 33
- Multiset.coe_countproof · cited by 23
- Nat.primeFactorsList_count_eqproof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- Nat.prod_factorization_pow_eq_selfproof · cited by 22
- Nat.factorization_eq_zero_iff'proof · cited by 0