Theorems · Theorem · number theory
UniqueFactorizationMonoid.primeFactors_eq_natPrimeFactors
UniqueFactorizationMonoid.primeFactors = Nat.primeFactors
- Defined in
- Mathlib.RingTheory.Radical.NatInt
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Multisetproof · cited by 2,627
- Multiset.ofListproof · cited by 290
- Multiset.toFinsetproof · cited by 230
- Nat.primeFactorsstatement and proof · cited by 129
- List.toFinsetproof · cited by 108
- Nat.primeFactorsListproof · cited by 105
- UniqueFactorizationMonoid.primeFactorsstatement · cited by 32
- Nat.factors_eqproof · cited by 5
- List.toFinset_coeproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Nat.radical_eq_prod_primeFactorsproof · cited by 7