Theorems · Definition · number theory
PNat.factorMultiset
ℕ+ → PrimeMultiset
The prime factors of n, regarded as a multiset
- Defined in
- Mathlib.Data.PNat.Factors
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 78 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.
- PNatstatement and proof · cited by 392
- PNat.valproof · cited by 226
- Nat.primeFactorsListproof · cited by 105
- PrimeMultisetstatement · cited by 30
- PrimeMultiset.ofNatListproof · cited by 3
Cited by19
Results whose statement or proof uses this declaration.
- PNat.prod_factorMultisetstatement · cited by 9
- PrimeMultiset.factorMultiset_prodstatement and proof · cited by 7
- PNat.factorMultiset_le_iffstatement and proof · cited by 5
- PrimeMultiset.prod_dvd_iffproof · cited by 4
- PNat.factorMultiset_le_iff'statement and proof · cited by 2
- PNat.factorMultisetEquivproof · cited by 1
- PNat.factorMultiset_gcdstatement and proof · cited by 1
- PNat.factorMultiset_lcmstatement and proof · cited by 1
- PNat.factorMultiset_mulstatement and proof · cited by 1
- PNat.factorMultiset_ofPrimestatement and proof · cited by 1
- PNat.factorMultiset_powstatement and proof · cited by 1
- PrimeMultiset.prod_dvd_iff'statement and proof · cited by 1