Theorems · Theorem · special functions
EulerSine.integral_cos_pow_pos
∀ (n : ℕ), 0 < ∫ (x : ℝ) in 0..Real.pi / 2, Real.cos x ^ n
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 276 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Real.pistatement · cited by 1,774
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
- intervalIntegralstatement · cited by 546
- Real.cosstatement · cited by 424
- mul_posproof · cited by 374
- one_half_posproof · cited by 31
- integral_sin_pow_posproof · cited by 3
- EulerSine.integral_cos_pow_eqproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- EulerSine.sin_pi_mul_eqproof · cited by 1