Theorems · Theorem · complex analysis
Complex.log_exp_eq_sub_toIocDiv
∀ (x : ℂ), Complex.log (Complex.exp x) = x - ↑(toIocDiv Real.two_pi_pos (-Real.pi) x.im) * (2 * ↑Real.pi * Complex.I)
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- mul_assocproof · cited by 1,667
- Complex.ofRealstatement and proof · cited by 1,654
- Complex.reproof · cited by 882
- Complex.Istatement and proof · cited by 866
- Complex.expstatement · cited by 612
- Complex.imstatement and proof · cited by 591
- Complex.logstatement · cited by 187
- Complex.ofReal_mulproof · cited by 180
- sub_mulproof · cited by 170
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.