Theorems · Theorem · complex analysis
Complex.log_inv_eq_ite
∀ (x : ℂ), Complex.log x⁻¹ = if x.arg = Real.pi then -(starRingEnd ℂ) (Complex.log x) else -Complex.log x
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHomstatement · cited by 10,189
- Complexstatement and proof · cited by 5,565
- Norm.normproof · cited by 5,413
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealproof · cited by 1,654
- map_zeroproof · cited by 1,614
- map_mulproof · cited by 1,137
- map_addproof · cited by 964
- neg_negproof · cited by 960
- Real.logproof · cited by 939
Cited by2
Results whose statement or proof uses this declaration.
- Complex.log_invproof · cited by 3
- Complex.inv_cpow_eq_iteproof · cited by 3