Theorems · Theorem · complex analysis
Complex.sin_three_mul
∀ (x : ℂ), Complex.sin (3 * x) = 3 * Complex.sin x - 4 * Complex.sin x ^ 3
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- Nat.cast_oneproof · cited by 2,501
- mul_assocproof · cited by 1,667
- Complex.cosproof · cited by 279
- Complex.sinstatement and proof · cited by 258
- Complex.sin_addproof · cited by 12
- two_add_one_eq_threeproof · cited by 8
- Complex.sin_two_mulproof · cited by 5
- add_one_mulproof · cited by 5
- Complex.cos_two_mulproof · cited by 3
- Complex.cos_sq'proof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Real.sin_three_mulproof · cited by 0