Theorems · Theorem · special functions
Complex.Gamma_ne_zero_of_re_pos
∀ {s : ℂ}, 0 < s.re → Complex.Gamma s ≠ 0A weaker, but easier-to-apply, version of Complex.Gamma_ne_zero.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 285 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Complex.restatement and proof · cited by 882
- Nat.cast_nonnegproof · cited by 109
- Complex.Gammastatement · cited by 96
- Complex.Gamma_ne_zeroproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Complex.Gammaℝ_ne_zero_of_re_posproof · cited by 5
- Complex.betaIntegral_eq_Gamma_mul_divproof · cited by 1