Theorems · Theorem · complex analysis
Complex.log_exp_eq_re_add_toIocMod
∀ (x : ℂ), Complex.log (Complex.exp x) = ↑x.re + ↑(toIocMod Real.two_pi_pos (-Real.pi) x.im) * Complex.I
- Cited by
- 1 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.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealstatement and proof · cited by 1,654
- Real.logproof · cited by 939
- Complex.restatement and proof · cited by 882
- Complex.Istatement and proof · cited by 866
- Complex.expstatement and proof · cited by 612
- Complex.imstatement and proof · cited by 591
- Complex.argproof · cited by 220
- Complex.logstatement · cited by 187
- toIocModstatement and proof · cited by 109
Cited by1
Results whose statement or proof uses this declaration.
- Complex.log_exp_eq_sub_toIocDivproof · cited by 0