Theorems · Theorem · complex analysis
Complex.arg_exp
∀ (z : ℂ), (Complex.exp z).arg = toIocMod Real.two_pi_pos (-Real.pi) z.im
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Preorderproof · cited by 7,952
- Complexstatement and proof · cited by 5,565
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealproof · cited by 1,654
- Set.Iocproof · cited by 971
- Complex.reproof · cited by 882
- Real.expproof · cited by 871
- Complex.Iproof · cited by 866
- Complex.expstatement and proof · cited by 612
- Complex.imstatement and proof · cited by 591
Cited by3
Results whose statement or proof uses this declaration.
- Complex.arg_exp_mul_Iproof · cited by 2
- Complex.log_exp_eq_re_add_toIocModproof · cited by 1
- Complex.exp_mem_slitPlaneproof · cited by 0