Theorems · Theorem · real analysis
Complex.norm_prime_cpow_le_one_half
∀ (p : Nat.Primes) {s : ℂ}, 1 < s.re → ‖↑↑p ^ (-s)‖ ≤ 1 / 2- Cited by
- 2 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Norm.normstatement · cited by 5,413
- LE.le.transproof · cited by 3,151
- Nat.cast_oneproof · cited by 2,501
- LT.lt.leproof · cited by 2,189
- Nat.Primestatement · cited by 2,059
- Nat.cast_zeroproof · cited by 1,870
- Complex.restatement and proof · cited by 882
- one_divproof · cited by 624
- Subtype.propproof · cited by 505
- le_of_not_gtproof · cited by 430
Cited by2
Results whose statement or proof uses this declaration.
- DirichletCharacter.LSeries_changeLevelproof · cited by 0
- Complex.one_sub_prime_cpow_ne_zeroproof · cited by 0