Theorems · Theorem · number theory
PrimeMultiset.prod_add
∀ (u v : PrimeMultiset), (u + v).prod = u.prod * v.prod
- Defined in
- Mathlib.Data.PNat.Factors
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 57 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.coeproof · cited by 62,936
- Multisetproof · cited by 2,627
- Multiset.prodproof · cited by 528
- PNatstatement and proof · cited by 392
- AddMonoidHom.map_addproof · cited by 48
- PrimeMultisetstatement and proof · cited by 30
- PrimeMultiset.prodstatement and proof · cited by 23
- Multiset.prod_addproof · cited by 18
- PrimeMultiset.coePNatMonoidHomproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- PNat.factorMultiset_le_iffproof · cited by 5
- PrimeMultiset.prod_smulproof · cited by 1
- PNat.factorMultiset_mulproof · cited by 1