Theorems · Theorem · group theory
Multiset.noncommProd_eq_prod
∀ {α : Type u_6} [inst : CommMonoid α] (s : Multiset α), s.noncommProd ⋯ = s.prod- Defined in
- Mathlib.Data.Finset.NoncommProd
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoid
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.
- Setstatement · cited by 53,352
- Set.ofPredstatement and proof · cited by 6,101
- Multisetstatement and proof · cited by 2,627
- CommMonoidstatement and proof · cited by 2,264
- Multiset.prodstatement · cited by 528
- Multiset.ofListproof · cited by 290
- Commute.allstatement and proof · cited by 119
- Multiset.noncommProdstatement · cited by 23
- Multiset.noncommProd_coeproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- Finset.sum_powproof · cited by 0