Theorems · Theorem · complex analysis
Complex.cot_eq_exp_ratio
∀ (z : ℂ), z.cot = (Complex.exp (2 * Complex.I * z) + 1) / (Complex.I * (1 - Complex.exp (2 * Complex.I * z)))
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 146 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- add_zeroproof · cited by 2,707
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- mul_assocproof · cited by 1,667
- pow_oneproof · cited by 894
- one_ne_zeroproof · cited by 885
- Complex.Istatement and proof · cited by 866
- div_oneproof · cited by 629
- Complex.expstatement and proof · cited by 612
Cited by1
Results whose statement or proof uses this declaration.
- Complex.cot_pi_eq_exp_ratioproof · cited by 1