Theorems · Theorem · complex analysis
Complex.arg_inv
∀ (x : ℂ), x⁻¹.arg = if x.arg = Real.pi then Real.pi else -x.arg
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 200 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.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- mul_commproof · cited by 2,262
- MulZeroClass.mul_zeroproof · cited by 2,091
- Real.pistatement · cited by 1,774
- Complex.ofRealproof · cited by 1,654
- map_zeroproof · cited by 1,614
- starRingEndproof · cited by 671
- Complex.argstatement and proof · cited by 220
- inv_zeroproof · cited by 184
- Complex.normSqproof · cited by 103
Cited by3
Results whose statement or proof uses this declaration.
- Complex.arg_inv_coe_angleproof · cited by 2
- Complex.abs_arg_invproof · cited by 1
- Complex.hasSum_arctan_auxproof · cited by 1