Theorems · Theorem · complex analysis
Complex.arg_eq_neg_pi_div_two_iff
∀ {z : ℂ}, z.arg = -(Real.pi / 2) ↔ z.re = 0 ∧ z.im < 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites36
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
- Norm.normproof · cited by 5,413
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- MulZeroClass.mul_zeroproof · cited by 2,091
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealproof · cited by 1,654
- sub_selfproof · cited by 996
- neg_negproof · cited by 960
Cited by1
Results whose statement or proof uses this declaration.
- Complex.neg_pi_div_two_lt_arg_iffproof · cited by 2