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Theorems · Theorem · group theory

AddCommute.list_sum_right

∀ {M : Type u_4} [inst : AddMonoid M] (l : List M) (y : M), (∀ x ∈ l, AddCommute y x) → AddCommute y l.sum
Defined in
Mathlib.Algebra.BigOperators.Group.List.Basic
Cited by
2 results in Mathlib
Foundations
Depth 9 from the axioms · uses propext
Assumes
AddMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Multiset.noncommSum_addCommute · cited by 1Multiset.noncommSum_addCo…AddCommute.list_sum_left · cited by 0AddCommute.list_sum_leftAddMonoid · cited by 2864AddMonoidAddCommute · cited by 185AddCommuteAddCommute.zero_right · cited by 6AddCommute.zero_rightAddCommute.add_right · cited by 4AddCommute.add_rightAddCommute.list_sum_rightCITED BYCITES

Cites4

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Cited by2

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