Theorems · Theorem · complex analysis
Complex.log_inv
∀ (x : ℂ), x.arg ≠ Real.pi → Complex.log x⁻¹ = -Complex.log x
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Real.pistatement and proof · cited by 1,774
- Complex.argstatement and proof · cited by 220
- Complex.logstatement and proof · cited by 187
- Complex.log_inv_eq_iteproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Complex.hasSum_arctan_auxproof · cited by 1
- Complex.norm_log_one_sub_inv_add_logTaylor_neg_leproof · cited by 1
- Complex.log_inv_eq_integralproof · cited by 0