Theorems · Theorem · complex analysis
Complex.log_exp_exists
∀ (z : ℂ), ∃ n, Complex.log (Complex.exp z) = z + ↑n * (2 * ↑Real.pi * Complex.I)
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 196 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 and proof · cited by 5,565
- Real.pistatement · cited by 1,774
- Complex.ofRealstatement · cited by 1,654
- Complex.Istatement · cited by 866
- Complex.expstatement and proof · cited by 612
- Complex.logstatement · cited by 187
- Complex.exp_ne_zeroproof · cited by 19
- Complex.exp_logproof · cited by 14
- Complex.exp_eq_exp_iff_exists_intproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Function.Periodic.qParam_left_inv_mod_periodproof · cited by 1