Theorems · Theorem · real analysis
Real.sin_pi_over_two_pow_succ
∀ (n : ℕ), Real.sin (Real.pi / 2 ^ (n + 2)) = √(2 - Real.sqrtTwoAddSeries 0 n) / 2
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 185 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
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
- Nat.cast_oneproof · cited by 2,501
- LT.lt.leproof · cited by 2,189
- Nat.cast_zeroproof · cited by 1,870
- Real.pistatement and proof · cited by 1,774
- IsUnitproof · cited by 1,602
- le_of_ltproof · cited by 1,175
- Real.sqrtstatement · cited by 545
- mul_nonnegproof · cited by 397
- Real.sinstatement and proof · cited by 389
- div_posproof · cited by 337
- pow_posproof · cited by 292
Cited by6
Results whose statement or proof uses this declaration.
- Real.sin_pi_div_fourproof · cited by 3
- Real.pi_gt_sqrtTwoAddSeriesproof · cited by 1
- Real.pi_lt_sqrtTwoAddSeriesproof · cited by 1
- Real.sin_pi_div_eightproof · cited by 0
- Real.sin_pi_div_sixteenproof · cited by 0
- Real.sin_pi_div_thirty_twoproof · cited by 0