Theorems · Theorem · complex analysis
Complex.arctan_tan
∀ {z : ℂ}, z ≠ ↑Real.pi / 2 → -(Real.pi / 2) < z.re → z.re ≤ Real.pi / 2 → (Complex.tan z).arctan = z- Cited by
- 1 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites41
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
- one_mulproof · cited by 2,841
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealstatement and proof · cited by 1,654
- MulZeroClass.zero_mulproof · cited by 1,625
- sub_eq_add_negproof · cited by 1,023
- neg_negproof · cited by 960
- Complex.restatement and proof · cited by 882
- Complex.Iproof · cited by 866
Cited by1
Results whose statement or proof uses this declaration.
- Complex.ofReal_arctanproof · cited by 0