Theorems · Theorem · complex analysis
Complex.arg_mem_Ioc
∀ (z : ℂ), z.arg ∈ Set.Ioc (-Real.pi) Real.pi
- Cited by
- 6 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.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Norm.normproof · cited by 5,413
- LT.lt.leproof · cited by 2,189
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealproof · cited by 1,654
- eq_or_neproof · cited by 1,117
- Set.Iocstatement and proof · cited by 971
- Complex.Iproof · cited by 866
- Complex.cosproof · cited by 279
- Complex.sinproof · cited by 258
Cited by6
Results whose statement or proof uses this declaration.
- Complex.arg_real_mulproof · cited by 11
- Complex.arg_le_piproof · cited by 8
- Complex.neg_pi_lt_argproof · cited by 7
- Complex.arg_coe_angle_toReal_eq_argproof · cited by 4
- Complex.range_argproof · cited by 0
- Complex.toIocMod_argproof · cited by 0