Theorems · Theorem · real analysis
Complex.exp_mul_I_periodic
Function.Periodic (fun x => Complex.exp (x * Complex.I)) (2 * ↑Real.pi)
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement · cited by 5,565
- Real.pistatement · cited by 1,774
- Complex.ofRealstatement · cited by 1,654
- Complex.Istatement · cited by 866
- Complex.expstatement · cited by 612
- Function.Periodicstatement · cited by 154
- Function.Antiperiodic.periodic_two_mulproof · cited by 10
- Complex.exp_mul_I_antiperiodicproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Complex.arg_expproof · cited by 3
- Complex.norm_eq_one_iff'proof · cited by 2