Theorems · Theorem · complex analysis
Complex.exp_eq_one_iff
∀ {x : ℂ}, Complex.exp x = 1 ↔ ∃ n, x = ↑n * (2 * ↑Real.pi * Complex.I)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
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
- MulZeroClass.mul_zeroproof · cited by 2,091
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealstatement and proof · cited by 1,654
- sub_selfproof · cited by 996
- Set.Iocproof · cited by 971
- Complex.Istatement and proof · cited by 866
- neg_mulproof · cited by 654
- Complex.expstatement and proof · cited by 612
- Complex.improof · cited by 591
Cited by3
Results whose statement or proof uses this declaration.
- Complex.mem_rootsOfUnityproof · cited by 1
- Complex.exp_two_pi_mul_I_mul_div_eq_one_iffproof · cited by 0
- Complex.exp_eq_one_iff_of_im_nonnegproof · cited by 0