Theorems · Theorem · number theory
LSeries.norm_term_le_of_re_le_re
∀ (f : ℕ → ℂ) {s s' : ℂ}, s.re ≤ s'.re → ∀ (n : ℕ), ‖LSeries.term f s' n‖ ≤ ‖LSeries.term f s n‖- Defined in
- Mathlib.NumberTheory.LSeries.Basic
- Cited by
- 1 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.
Cites15
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
- Complex.restatement and proof · cited by 882
- norm_nonnegproof · cited by 725
- 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_div₀proof · cited by 53
- LSeries.termstatement · cited by 48
Cited by1
Results whose statement or proof uses this declaration.
- LSeriesSummable.of_re_le_reproof · cited by 5