Theorems · Theorem · number theory
LSeriesSummable.sum
∀ {ι : Type u_1} {f : ι → ℕ → ℂ} {S : Finset ι} {s : ℂ},
(∀ i ∈ S, LSeriesSummable (f i) s) → LSeriesSummable (∑ i ∈ S, f i) s- Defined in
- Mathlib.NumberTheory.LSeries.Linearity
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Complexstatement and proof · cited by 5,565
- Finset.sumstatement · cited by 5,195
- SummationFilter.unconditionalproof · cited by 2,068
- Summableproof · cited by 778
- LSeriesSummablestatement and proof · cited by 59
- summable_sumproof · cited by 4
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