Theorems · Theorem · special functions
Complex.Gamma_ofReal
∀ (s : ℝ), Complex.Gamma ↑s = ↑(Real.Gamma s)
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 265 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Complex.ofRealstatement and proof · cited by 1,654
- Complex.Gammastatement and proof · cited by 96
- Real.Gammastatement · cited by 76
- Complex.conj_ofRealproof · cited by 41
- Complex.conj_eq_iff_reproof · cited by 12
- Complex.Gamma_conjproof · cited by 1
Cited by9
Results whose statement or proof uses this declaration.
- Complex.Gamma_ne_zeroproof · cited by 6
- Complex.Gamma_one_half_eqproof · cited by 3
- Real.integral_rpow_mul_exp_neg_mul_Ioiproof · cited by 3
- Complex.Gamma_mul_Gamma_add_halfproof · cited by 2
- Complex.hasDerivAt_Gamma_one_halfproof · cited by 2
- Complex.hasDerivAt_Gamma_natproof · cited by 2
- Real.Gamma_neg_nat_eq_zeroproof · cited by 1
- Real.Gamma_zeroproof · cited by 1
- ProbabilityTheory.beta_eq_betaIntegralRealproof · cited by 1