Theorems · Theorem · real analysis
Real.sin_sq_pi_over_two_pow
∀ (n : ℕ), Real.sin (Real.pi / 2 ^ (n + 1)) ^ 2 = 1 - (Real.sqrtTwoAddSeries 0 n / 2) ^ 2
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Real.pistatement and proof · cited by 1,774
- Real.sinstatement · cited by 389
- Real.sqrtTwoAddSeriesstatement and proof · cited by 19
- Real.sin_sqproof · cited by 6
- Real.cos_pi_over_two_powproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Real.sin_sq_pi_over_two_pow_succproof · cited by 1