Theorems · Definition · complex analysis
Complex.sin
ℂ → ℂ
The complex sine function, defined via exp
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 258 results in Mathlib
- Foundations
- Depth 142 from the axioms, rests on 3,707 definitions · 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.Iproof · cited by 866
- Complex.expproof · cited by 612
Cited by261
Results whose statement or proof uses this declaration.
- Real.sinproof · cited by 389
- Complex.tanproof · cited by 77
- Complex.ofReal_sinstatement · cited by 40
- Real.sin_negproof · cited by 34
- Complex.norm_expproof · cited by 33
- Complex.cotproof · cited by 19
- Complex.sin_negstatement · cited by 17
- Complex.exp_mul_Istatement · cited by 17
- Real.tan_eq_sin_div_cosproof · cited by 15
- Complex.sin_addstatement and proof · cited by 12
- Real.sin_addproof · cited by 12
- Complex.arg_real_mulproof · cited by 11
Showing the 200 most cited of 261.