Theorems · Theorem · real analysis
integral_sin_pow_succ_le
∀ (n : ℕ), ∫ (x : ℝ) in 0..Real.pi, Real.sin x ^ (n + 1) ≤ ∫ (x : ℝ) in 0..Real.pi, Real.sin x ^ n
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 257 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- LT.lt.leproof · cited by 2,189
- Real.pistatement and proof · cited by 1,774
- Set.Iccproof · cited by 1,702
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
- intervalIntegralstatement · cited by 546
- Real.sinstatement and proof · cited by 389
- Real.pi_posproof · cited by 173
- Continuous.intervalIntegrableproof · cited by 32
- Real.continuous_sinproof · cited by 16
- pow_le_pow_of_le_oneproof · cited by 12
- Real.sin_le_oneproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- Real.Wallis.W_leproof · cited by 1
- Real.Wallis.le_Wproof · cited by 1
- integral_sin_pow_antitoneproof · cited by 0