Theorems · Definition · complex analysis
Complex.cot
ℂ → ℂ
The complex cotangent function, defined as cos z / sin z
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- Complex.cosproof · cited by 279
- Complex.sinproof · cited by 258
Cited by20
Results whose statement or proof uses this declaration.
- Real.cotproof · cited by 5
- Complex.ofReal_cotstatement · cited by 3
- cot_series_rep'statement and proof · cited by 2
- pi_mul_cot_pi_q_expstatement · cited by 1
- Complex.ofReal_cot_ofReal_restatement and proof · cited by 1
- logDeriv_sin_div_eq_cotstatement and proof · cited by 1
- Complex.cot_conjstatement and proof · cited by 1
- Complex.cot_eq_exp_ratiostatement · cited by 1
- Complex.cot_inv_eq_tanstatement · cited by 1
- Complex.cot_pi_eq_exp_ratiostatement · cited by 1
- Complex.tan_inv_eq_cotstatement · cited by 1
- Complex.logDeriv_sinstatement and proof · cited by 1