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Theorems · Theorem · group theory

List.sum_neg

∀ {K : Type u_8} [inst : SubtractionCommMonoid K] (L : List K), -L.sum = (List.map (fun x => -x) L).sum

This is the List.sum version of add_neg

Defined in
Mathlib.Algebra.BigOperators.Group.List.Basic
Cited by
1 results in Mathlib
Foundations
Depth 12 from the axioms · uses propext
Assumes
SubtractionCommMonoid
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List.sum_range_sub · cited by 0List.sum_range_subSubtractionCommMonoid · cited by 79SubtractionCommMonoidList.sum_negCITED BYCITES

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