Theorems · Theorem · complex analysis
Complex.cos_three_mul
∀ (x : ℂ), Complex.cos (3 * x) = 4 * Complex.cos x ^ 3 - 3 * Complex.cos x
- 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.
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_assocproof · cited by 1,667
- Complex.Iproof · cited by 866
- Complex.cosstatement and proof · cited by 279
- Complex.coshproof · cited by 118
- Complex.cosh_mul_Iproof · cited by 11
- Complex.cosh_three_mulproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Real.cos_three_mulproof · cited by 1