Theorems · Theorem · field theory
Complex.ofReal_div
∀ (r s : ℝ), ↑(r / s) = ↑r / ↑s
- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 83 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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 · cited by 5,565
- Complex.ofRealstatement · cited by 1,654
- map_div₀proof · cited by 98
- Complex.ofRealHomproof · cited by 21
Cited by83
Results whose statement or proof uses this declaration.
- Real.tan_eq_sin_div_cosproof · cited by 15
- Complex.exp_logproof · cited by 14
- Complex.sin_pi_div_twoproof · cited by 10
- Complex.cos_pi_div_twoproof · cited by 9
- fourier_coe_applyproof · cited by 7
- Real.tanh_eq_sinh_div_coshproof · cited by 5
- Real.sinh_eqproof · cited by 5
- HurwitzZeta.completedHurwitzZetaEven_eqproof · cited by 4
- ProbabilityTheory.complexMGF_id_gaussianRealproof · cited by 3
- UpperHalfPlane.petersson_slashproof · cited by 3
- Real.integral_rpow_mul_exp_neg_mul_Ioiproof · cited by 3
- Complex.Gamma_one_half_eqproof · cited by 3