Theorems · Theorem · complex analysis
Complex.arg_le_pi_div_two_iff
∀ {z : ℂ}, z.arg ≤ Real.pi / 2 ↔ 0 ≤ z.re ∨ z.im < 0- Cited by
- 4 results in Mathlib
- Foundations
- Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
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
- LE.le.transproof · cited by 3,151
- LT.lt.leproof · cited by 2,189
- Real.pistatement and proof · cited by 1,774
- Complex.restatement and proof · cited by 882
- LT.lt.neproof · cited by 872
- Complex.imstatement and proof · cited by 591
- not_leproof · cited by 328
- LT.lt.not_geproof · cited by 305
- abs_of_nonnegproof · cited by 279
Cited by4
Results whose statement or proof uses this declaration.
- PhragmenLindelof.quadrant_Iproof · cited by 4
- Complex.arg_lt_pi_div_two_iffproof · cited by 1
- Complex.abs_arg_le_pi_div_two_iffproof · cited by 0
- Complex.sq_cpow_two_invproof · cited by 0