Theorems · Theorem · number theory
LSeries_sub
∀ {f g : ℕ → ℂ} {s : ℂ}, LSeriesSummable f s → LSeriesSummable g s → LSeries (f - g) s = LSeries f s - LSeries g s- Defined in
- Mathlib.NumberTheory.LSeries.Linearity
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- SummationFilter.unconditionalproof · cited by 2,068
- tsumproof · cited by 1,148
- LSeriesstatement · cited by 77
- LSeriesSummablestatement and proof · cited by 59
- LSeries.termproof · cited by 48
- Summable.tsum_subproof · cited by 4
- LSeries.term_subproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- LSeries_sub_eventuallyEq_zero_of_LSeries_eventually_eqproof · cited by 1