Theorems · Theorem · complex analysis
Complex.sin_two_mul
∀ (x : ℂ), Complex.sin (2 * x) = 2 * Complex.sin x * Complex.cos x
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 146 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- mul_commproof · cited by 2,262
- add_mulproof · cited by 363
- Complex.cosstatement and proof · cited by 279
- Complex.sinstatement and proof · cited by 258
- two_mulproof · cited by 232
- Complex.sin_addproof · cited by 12
Cited by5
Results whose statement or proof uses this declaration.
- Complex.tan_eq_zero_iffproof · cited by 4
- Real.sin_two_mulproof · cited by 4
- Polynomial.Chebyshev.U_complex_cosproof · cited by 3
- Complex.sin_three_mulproof · cited by 1
- Complex.sin_eq_two_mul_tan_half_div_one_add_tan_half_sqproof · cited by 1