Theorems · Theorem · real analysis
integral_sin_pow_pos
∀ (n : ℕ), 0 < ∫ (x : ℝ) in 0..Real.pi, Real.sin x ^ n
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 275 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- Real.pistatement · cited by 1,774
- Finset.rangeproof · cited by 1,341
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
- intervalIntegralstatement · cited by 546
- Real.sinstatement · cited by 389
- mul_posproof · cited by 374
- div_posproof · cited by 337
- Finset.prod_posproof · cited by 25
- Nat.even_or_odd'proof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- Real.Wallis.W_leproof · cited by 1
- EulerSine.integral_cos_pow_posproof · cited by 1
- Real.Wallis.le_Wproof · cited by 1