Theorems · Theorem · group theory

Finset.noncommSum_lemma

∀ {α : Type u_3} {β : Type u_4} [inst : AddMonoid β] (s : Finset α) (f : α → β),
  (↑s).Pairwise (Function.onFun AddCommute f) → {x | x ∈ Multiset.map f s.val}.Pairwise AddCommute

Proof used in definition of Finset.noncommSum

Defined in

Mathlib.Data.Finset.NoncommProd

Cited by

10 results in Mathlib

Foundations

Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddMonoid