Theorems · Theorem · number theory
LSeries.norm_term_le
∀ {f g : ℕ → ℂ} (s : ℂ) {n : ℕ}, ‖f n‖ ≤ ‖g n‖ → ‖LSeries.term f s n‖ ≤ ‖LSeries.term g s n‖- Defined in
- Mathlib.NumberTheory.LSeries.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Norm.normstatement and proof · cited by 5,413
- le_reflproof · cited by 2,061
- le_of_ltproof · cited by 1,175
- Complex.reproof · cited by 882
- zero_leproof · cited by 382
- Nat.cast_pos'proof · cited by 219
- Real.rpow_pos_of_posproof · cited by 155
- lt_of_le_of_ne'proof · cited by 149
- div_le_div_of_nonneg_rightproof · cited by 77
- LSeries.termstatement · cited by 48
Cited by2
Results whose statement or proof uses this declaration.
- ArithmeticFunction.LSeriesSummable_vonMangoldtproof · cited by 2
- DirichletCharacter.LSeriesSummable_mulproof · cited by 2