Theorems · Theorem · group theory

Multiset.noncommSum_induction

∀ {α : Type u_3} [inst : AddMonoid α] (s : Multiset α) (comm : {x | x ∈ s}.Pairwise AddCommute) (p : α → Prop),
  (∀ (a b : α), p a → p b → p (a + b)) → p 0 → (∀ x ∈ s, p x) → p (s.noncommSum comm)

Defined in

Mathlib.Data.Finset.NoncommProd

Cited by

1 results in Mathlib

Foundations

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

Assumes

AddMonoid