Theorems · Theorem · complex analysis
Complex.sin_sq
∀ (x : ℂ), Complex.sin x ^ 2 = 1 - Complex.cos x ^ 2
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 147 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Complex.cosstatement and proof · cited by 279
- Complex.sinstatement and proof · cited by 258
- add_sub_cancel_rightproof · cited by 187
- Complex.sin_sq_add_cos_sqproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- EulerSine.integral_sin_mul_sin_mul_cos_pow_eqproof · cited by 1