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Theorems · Theorem · group theory

finsum_neg_distrib

∀ {G : Type u_1} {α : Sort u_4} [inst : SubtractionCommMonoid G] (f : α → G), ∑ᶠ (x : α), -f x = -∑ᶠ (x : α), f x
Defined in
Mathlib.Algebra.BigOperators.Finprod
Cited by
1 results in Mathlib
Foundations
Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SubtractionCommMonoid
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finsum_sub_distrib · cited by 2finsum_sub_distribfinsum · cited by 286finsumSubtractionCommMonoid · cited by 79SubtractionCommMonoidAddEquiv.neg · cited by 9AddEquiv.negAddEquiv.map_finsum · cited by 3AddEquiv.map_finsumfinsum_neg_distribCITED BYCITES

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