Theorems · Theorem · complex analysis
Complex.arg_neg_eq_arg_sub_pi_iff
∀ {x : ℂ}, (-x).arg = x.arg - Real.pi ↔ 0 < x.im ∨ x.im = 0 ∧ x.re < 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites24
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
- LT.lt.leproof · cited by 2,189
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealproof · cited by 1,654
- sub_eq_add_negproof · cited by 1,023
- sub_selfproof · cited by 996
- Complex.restatement and proof · cited by 882
- LT.lt.neproof · cited by 872
- Complex.imstatement and proof · cited by 591
- neg_zeroproof · cited by 542
- zero_subproof · cited by 335
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