Theorems · Definition · number theory
PNat.factorMultisetEquiv
ℕ+ ≃ PrimeMultiset
Positive integers biject with multisets of primes.
- Defined in
- Mathlib.Data.PNat.Factors
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- PNatstatement · cited by 392
- PrimeMultisetstatement · cited by 30
- PrimeMultiset.prodproof · cited by 23
- PNat.factorMultisetproof · cited by 18
- PNat.prod_factorMultisetproof · cited by 9
- PrimeMultiset.factorMultiset_prodproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- PNat.factorMultiset_ofPrimeproof · cited by 1