Theorems · Theorem · real analysis
Complex.exp_periodic
Function.Periodic Complex.exp (2 * ↑Real.pi * Complex.I)
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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 and proof · cited by 1,774
- mul_assocproof · cited by 1,667
- Complex.ofRealstatement and proof · cited by 1,654
- Complex.Istatement and proof · cited by 866
- Complex.expstatement · cited by 612
- Function.Periodicstatement · cited by 154
- Function.Antiperiodic.periodic_two_mulproof · cited by 10
- Complex.exp_antiperiodicproof · cited by 5
Cited by8
Results whose statement or proof uses this declaration.
- periodic_circleMapproof · cited by 7
- Complex.exp_eq_one_iffproof · cited by 3
- Complex.exp_int_mul_two_pi_mul_Iproof · cited by 3
- Complex.exp_two_pi_mul_Iproof · cited by 2
- EisensteinSeries.G2_T_transformproof · cited by 1
- Complex.exp_nat_mul_two_pi_mul_Iproof · cited by 0
- ModularForm.discriminant_T_invariantproof · cited by 0