Theorems · Theorem · group theory

Multiset.noncommProd_commute

∀ {α : Type u_3} [inst : Monoid α] (s : Multiset α) (comm : {x | x ∈ s}.Pairwise Commute) (y : α),
  (∀ x ∈ s, Commute y x) → Commute y (s.noncommProd comm)

Defined in

Mathlib.Data.Finset.NoncommProd

Cited by

2 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Monoid