Theorems · Theorem · real analysis
Complex.exp_antiperiodic
Function.Antiperiodic Complex.exp (↑Real.pi * Complex.I)
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- mul_oneproof · cited by 3,885
- add_zeroproof · cited by 2,707
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealstatement and proof · cited by 1,654
- MulZeroClass.zero_mulproof · cited by 1,625
- Complex.Istatement and proof · cited by 866
- Complex.expstatement and proof · cited by 612
- mul_negproof · cited by 590
- Function.Antiperiodicstatement · cited by 66
- Complex.exp_addproof · cited by 55
- Complex.exp_mul_Iproof · cited by 17
Cited by5
Results whose statement or proof uses this declaration.
- Complex.exp_periodicproof · cited by 8
- Complex.exp_pi_mul_Iproof · cited by 7
- Complex.exp_mul_I_antiperiodicproof · cited by 1
- Complex.exp_sub_pi_mul_Iproof · cited by 0
- Complex.exp_add_pi_mul_Iproof · cited by 0