Theorems · Theorem · group theory
AddSubmonoidClass.coe_finset_sum
Deprecated since 2026-04-08Use AddSubmonoidClass.coe_finsetSum instead.
∀ {B : Type u_3} {S : B} {ι : Type u_4} {M : Type u_5} [inst : AddCommMonoid M] [inst_1 : SetLike B M]
[inst_2 : AddSubmonoidClass B M] (f : ι → ↥S) (s : Finset ι), ↑(∑ i ∈ s, f i) = ∑ i ∈ s, ↑(f i)Alias of AddSubmonoidClass.coe_finsetSum.
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- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- AddCommMonoidstatement · cited by 12,281
- Finset.sumstatement · cited by 5,195
- SetLikestatement · cited by 1,084
- AddSubmonoidClassstatement · cited by 346
- AddSubmonoidClass.coe_finsetSumproof · cited by 15
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