Theorems · Theorem · number theory
LSeriesSummable.of_smul
∀ {f : ℕ → ℂ} {c s : ℂ}, c ≠ 0 → LSeriesSummable (c • f) s → LSeriesSummable f 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.
Cites4
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
- inv_smul_smul₀proof · cited by 80
- LSeriesSummablestatement and proof · cited by 59
- LSeriesSummable.smulproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- LSeriesSummable.smul_iffproof · cited by 0