Theorems · Theorem · complex analysis
Complex.arg_eq_zero_iff
∀ {z : ℂ}, z.arg = 0 ↔ 0 ≤ z.re ∧ z.im = 0- Cited by
- 3 results in Mathlib
- Foundations
- Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- add_zeroproof · cited by 2,707
- Complex.ofRealproof · cited by 1,654
- MulZeroClass.zero_mulproof · cited by 1,625
- Complex.restatement and proof · cited by 882
- Complex.Iproof · cited by 866
- Complex.imstatement and proof · cited by 591
- Complex.cosproof · cited by 279
- Complex.sinproof · cited by 258
Cited by3
Results whose statement or proof uses this declaration.
- Orientation.oangle_eq_zero_iff_sameRayproof · cited by 5
- Polynomial.cyclotomic_eval_lt_add_one_pow_totientproof · cited by 1
- Complex.arg_eq_zero_iff_zero_leproof · cited by 0