Theorems · Theorem · complex analysis
Complex.sin_arg
∀ (x : ℂ), Real.sin x.arg = x.im / ‖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.
Cites27
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
- Norm.normstatement and proof · cited by 5,413
- mul_oneproof · cited by 3,885
- add_zeroproof · cited by 2,707
- MulZeroClass.mul_zeroproof · cited by 2,091
- Real.piproof · cited by 1,774
- sub_eq_add_negproof · cited by 1,023
- neg_negproof · cited by 960
- Complex.reproof · cited by 882
- Complex.imstatement and proof · cited by 591
- mul_negproof · cited by 590
Cited by4
Results whose statement or proof uses this declaration.
- Complex.exp_logproof · cited by 14
- Complex.norm_mul_exp_arg_mul_Iproof · cited by 6
- Complex.arg_nonneg_iffproof · cited by 4
- Complex.tan_argproof · cited by 0