Theorems · Theorem · group theory
Finset.noncommSum_toFinset
∀ {α : Type u_3} {β : Type u_4} [inst : AddMonoid β] [inst_1 : DecidableEq α] (l : List α) (f : α → β)
(comm : (↑l.toFinset).Pairwise (Function.onFun AddCommute f)),
l.Nodup → l.toFinset.noncommSum f comm = (List.map f l).sum- Defined in
- Mathlib.Data.Finset.NoncommProd
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoidDecidableEq
Around this declaration
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- Set.ofPredproof · cited by 6,101
- AddMonoidstatement and proof · cited by 2,864
- Multiset.mapproof · cited by 876
- Function.onFunstatement and proof · cited by 570
- Finset.valproof · cited by 438
- Set.Pairwisestatement and proof · cited by 321
- Multiset.ofListproof · cited by 290
- AddCommutestatement and proof · cited by 185
- List.toFinsetstatement and proof · cited by 108
- Finset.noncommSumstatement · cited by 24
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