Theorems · Theorem · group theory
Multiset.map_noncommSum
∀ {F : Type u_1} {α : Type u_3} {β : Type u_4} [inst : AddMonoid α] [inst_1 : AddMonoid β] [inst_2 : FunLike F α β]
[inst_3 : AddMonoidHomClass F α β] (s : Multiset α) (comm : {x | x ∈ s}.Pairwise AddCommute) (f : F),
f (s.noncommSum comm) = (Multiset.map (⇑f) s).noncommSum ⋯- Defined in
- Mathlib.Data.Finset.NoncommProd
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Set.ofPredstatement and proof · cited by 6,101
- AddMonoidstatement and proof · cited by 2,864
- Multisetstatement and proof · cited by 2,627
- FunLikestatement and proof · cited by 2,560
- Multiset.mapstatement · cited by 876
- Set.Pairwisestatement and proof · cited by 321
- Multiset.ofListproof · cited by 290
- AddMonoidHomClassstatement and proof · cited by 252
- AddCommutestatement and proof · cited by 185
- map_list_sumproof · cited by 31
- Multiset.noncommSumstatement · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- Finset.map_noncommSumproof · cited by 3