Theorems · Theorem · number theory
LSeries.term_smul
∀ (f : ℕ → ℂ) (c s : ℂ), LSeries.term (c • f) s = c • LSeries.term f s
- Defined in
- Mathlib.NumberTheory.LSeries.Linearity
- Cited by
- 3 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.
Cites7
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
- Nat.cast_oneproof · cited by 2,501
- MulZeroClass.mul_zeroproof · cited by 2,091
- Nat.cast_addproof · cited by 586
- mul_div_assocproof · cited by 149
- LSeries.termstatement · cited by 48
- LSeries.term_of_ne_zeroproof · cited by 18
Cited by3
Results whose statement or proof uses this declaration.
- LSeriesSummable.smulproof · cited by 3
- LSeries.term_smul_applyproof · cited by 1
- LSeriesHasSum.smulproof · cited by 0