Theorems · Theorem · number theory
riemannZeta_one_ne_zero
riemannZeta 1 ≠ 0
With Mathlib's particular conventions, we have ζ 1 ≠ 0.
- Defined in
- Mathlib.NumberTheory.Harmonic.ZetaAsymp
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 310 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Complexstatement · cited by 5,565
- Nat.cast_oneproof · cited by 2,501
- Real.piproof · cited by 1,774
- Complex.ofRealproof · cited by 1,654
- le_of_ltproof · cited by 1,175
- Real.logproof · cited by 939
- LT.lt.neproof · cited by 872
- LT.lt.trans_leproof · cited by 678
- mul_posproof · cited by 374
- LT.lt.transproof · cited by 370
- mul_le_mul_of_nonneg_leftproof · cited by 361
Cited by1
Results whose statement or proof uses this declaration.
- riemannZeta_ne_zero_of_one_le_reproof · cited by 0