Theorems · Definition · complex analysis
Complex.tan
ℂ → ℂ
The complex tangent function, defined as sin z / cos z
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 77 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 by78
Results whose statement or proof uses this declaration.
- Real.tanproof · cited by 100
- Complex.tan_periodicstatement · cited by 11
- Complex.ofReal_tanstatement · cited by 9
- Real.hasDerivAt_tanproof · cited by 6
- Complex.tan_addstatement and proof · cited by 5
- Complex.tan_negstatement · cited by 5
- Real.tan_negproof · cited by 5
- Complex.hasDerivAt_tanstatement · cited by 4
- Complex.tan_eq_zero_iffstatement · cited by 4
- Complex.tan_mul_cosstatement · cited by 4
- Complex.inv_one_add_tan_sqstatement · cited by 4
- Complex.tan_eq_sin_div_cosstatement · cited by 3