Theorems · Theorem · group theory

Multiset.map_noncommProd_aux

∀ {F : Type u_1} {α : Type u_3} {β : Type u_4} [inst : Monoid α] [inst_1 : Monoid β] [inst_2 : FunLike F α β]
  [MulHomClass F α β] (s : Multiset α),
  {x | x ∈ s}.Pairwise Commute → ∀ (f : F), {x | x ∈ Multiset.map (⇑f) s}.Pairwise Commute

Defined in

Mathlib.Data.Finset.NoncommProd

Cited by

2 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MonoidMonoidFunLikeMulHomClass