Theorems · Theorem · number theory
LSeries.term_sum_apply
∀ {ι : Type u_1} (f : ι → ℕ → ℂ) (S : Finset ι) (s : ℂ) (n : ℕ),
LSeries.term (∑ i ∈ S, f i) s n = ∑ i ∈ S, LSeries.term (f i) s n- Defined in
- Mathlib.NumberTheory.LSeries.Linearity
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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 and proof · cited by 5,195
- Finset.sum_congrproof · cited by 2,323
- eq_or_neproof · cited by 1,117
- Finset.sum_applyproof · cited by 234
- Finset.sum_const_zeroproof · cited by 219
- LSeries.termstatement and proof · cited by 48
- Finset.sum_divproof · cited by 20
- LSeries.term_of_ne_zeroproof · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- LSeries.term_sumproof · cited by 1
- LSeries_sumproof · cited by 1