Theorems · Theorem · complex analysis
Complex.neg_pi_div_two_lt_arg_iff
∀ {z : ℂ}, -(Real.pi / 2) < z.arg ↔ 0 < z.re ∨ 0 ≤ z.im- Cited by
- 2 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- LT.lt.leproof · cited by 2,189
- Real.pistatement and proof · cited by 1,774
- LT.lt.ne'proof · cited by 1,417
- Complex.restatement and proof · cited by 882
- LT.lt.neproof · cited by 872
- Complex.imstatement and proof · cited by 591
- LT.lt.not_geproof · cited by 305
- Complex.argstatement and proof · cited by 220
- lt_trichotomyproof · cited by 178
- LT.lt.not_gtproof · cited by 54
Cited by2
Results whose statement or proof uses this declaration.
- Complex.abs_arg_lt_pi_div_two_iffproof · cited by 1
- Complex.sq_cpow_two_invproof · cited by 0