Theorems · Theorem · group theory
Multiset.noncommFold_empty
∀ {α : Type u_3} (op : α → α → α) [assoc : Std.Associative op] (h : {x | x ∈ 0}.Pairwise fun x y => op x y = op y x)
(a : α), Multiset.noncommFold op 0 h a = a- Defined in
- Mathlib.Data.Finset.NoncommProd
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Std.Associative
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredstatement and proof · cited by 6,101
- Multisetstatement · cited by 2,627
- Set.Pairwisestatement and proof · cited by 321
- Multiset.noncommFoldstatement · cited by 5
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