Theorems · Theorem · complex analysis
Complex.tanh_mul_I
∀ (x : ℂ), Complex.tanh (x * Complex.I) = Complex.tan x * Complex.I
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 145 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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.Istatement and proof · cited by 866
- Complex.cosproof · cited by 279
- Complex.sinproof · cited by 258
- Complex.sinhproof · cited by 113
- Complex.tanstatement and proof · cited by 77
- mul_div_right_commproof · cited by 20
- Complex.tanhstatement · cited by 20
- Complex.cosh_mul_Iproof · cited by 11
- Complex.sinh_mul_Iproof · cited by 10
- Complex.tanh_eq_sinh_div_coshproof · cited by 2
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