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Theorems · Definition · group theory

Multiset.noncommFold

{α : Type u_3} →
  (op : α → α → α) →
    [assoc : Std.Associative op] → (s : Multiset α) → ({x | x ∈ s}.Pairwise fun x y => op x y = op y x) → α → α

Fold of a s : Multiset α with an associative op : α → α → α, given a proofs that op is commutative on all elements x ∈ s.

Defined in
Mathlib.Data.Finset.NoncommProd
Cited by
5 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Std.Associative

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