Theorems · Definition · complex analysis
Complex.exp
ℂ → ℂ
The complex exponential function, defined via its Taylor series
- Defined in
- Mathlib.Analysis.Complex.Exponential
- Cited by
- 612 results in Mathlib
- Foundations
- Depth 141 from the axioms, rests on 3,706 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement · cited by 5,565
Cited by632
Results whose statement or proof uses this declaration.
- Real.expproof · cited by 871
- Complex.cosproof · cited by 279
- Complex.sinproof · cited by 258
- Complex.coshproof · cited by 118
- circleMapproof · cited by 117
- Complex.sinhproof · cited by 113
- MeasureTheory.charFunproof · cited by 84
- Circle.expproof · cited by 73
- Complex.exp_addstatement · cited by 55
- Complex.ofReal_expstatement · cited by 44
- Complex.exp_zerostatement · cited by 43
- Function.Periodic.qParamproof · cited by 42
Showing the 200 most cited of 632.