Theorems · Theorem · complex analysis
Complex.log_exp
∀ {x : ℂ}, -Real.pi < x.im → x.im ≤ Real.pi → Complex.log (Complex.exp x) = x- Cited by
- 4 results in Mathlib
- Foundations
- Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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.ofRealproof · cited by 1,654
- Real.logproof · cited by 939
- Complex.reproof · cited by 882
- Complex.Iproof · cited by 866
- Complex.expstatement and proof · cited by 612
- Complex.imstatement and proof · cited by 591
- Complex.cosproof · cited by 279
- Complex.sinproof · cited by 258
- Complex.argproof · cited by 220
Cited by4
Results whose statement or proof uses this declaration.
- Complex.cpow_mulproof · cited by 3
- Complex.exp_eq_one_iffproof · cited by 3
- Complex.arctan_tanproof · cited by 1
- Complex.exp_inj_of_neg_pi_lt_of_le_piproof · cited by 0