Theorems · Theorem · group theory
Multiset.noncommSum_add
∀ {α : Type u_3} [inst : AddMonoid α] (s t : Multiset α) (comm : {x | x ∈ s + t}.Pairwise AddCommute),
(s + t).noncommSum comm = s.noncommSum ⋯ + t.noncommSum ⋯- Defined in
- Mathlib.Data.Finset.NoncommProd
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoid
Around this declaration
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Cites12
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
- AddMonoidstatement and proof · cited by 2,864
- Multisetstatement and proof · cited by 2,627
- Set.Pairwisestatement and proof · cited by 321
- Multiset.ofListproof · cited by 290
- AddCommutestatement and proof · cited by 185
- Set.Pairwise.monostatement and proof · cited by 55
- Multiset.subset_of_lestatement and proof · cited by 27
- Multiset.noncommSumstatement · cited by 18
- Multiset.noncommSum_coeproof · cited by 11
- Multiset.le_add_rightstatement and proof · cited by 9
- Multiset.le_add_leftstatement and proof · cited by 6
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