Theorems · Definition · complex analysis
Complex.cosh
ℂ → ℂ
The complex hyperbolic cosine function, defined via exp
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 118 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.
Cites2
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.expproof · cited by 612
Cited by120
Results whose statement or proof uses this declaration.
- Real.coshproof · cited by 119
- Complex.tanhproof · cited by 20
- Complex.ofReal_coshstatement · cited by 12
- Complex.sin_addproof · cited by 12
- Complex.cos_addproof · cited by 11
- Complex.cosh_mul_Istatement · cited by 11
- Complex.hasDerivAt_sinhstatement · cited by 8
- Complex.contDiff_coshstatement · cited by 8
- Complex.hasDerivAt_coshstatement · cited by 7
- Complex.cos_mul_Istatement and proof · cited by 6
- Complex.cosh_addstatement and proof · cited by 6
- Complex.cosh_negstatement · cited by 6