Theorems · Theorem · probability
ProbabilityTheory.Kernel.coe_finset_sum
Deprecated since 2026-04-08Use FunLike.coe_sum instead.
∀ {F : Type u_8} {α : Type u_9} {β : Type u_10} {ι : Type u_11} [inst : FunLike F α β] [inst_1 : AddCommMonoid β]
[inst_2 : AddCommMonoid F] [IsZeroApply F α β] [IsAddApply F α β] (s : Finset ι) (f : ι → F),
⇑(∑ i ∈ s, f i) = ∑ i ∈ s, ⇑(f i)Alias of FunLike.coe_sum.
- Defined in
- Mathlib.Probability.Kernel.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finsetstatement · cited by 13,712
- AddCommMonoidstatement · cited by 12,281
- Finset.sumstatement · cited by 5,195
- FunLikestatement · cited by 2,560
- IsAddApplystatement · cited by 75
- IsZeroApplystatement · cited by 72
- FunLike.coe_sumproof · cited by 6
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