Theorems · Theorem · special functions
Polynomial.Chebyshev.integral_eval_T_real_measureT_zero
∫ (x : ℝ), Polynomial.eval x (Polynomial.Chebyshev.T ℝ 0) ∂Polynomial.Chebyshev.measureT = Real.pi
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 285 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
- mul_oneproof · cited by 3,885
- MeasureTheory.integralstatement · cited by 1,779
- Real.pistatement and proof · cited by 1,774
- MeasureTheory.MeasureSpace.volumeproof · cited by 1,323
- sub_zeroproof · cited by 938
- Polynomial.evalstatement and proof · cited by 796
- intervalIntegralproof · cited by 546
- Real.cosproof · cited by 424
- Polynomial.Chebyshev.Tstatement · cited by 108
- Polynomial.eval_oneproof · cited by 86
- intervalIntegral.integral_constproof · cited by 33
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.Chebyshev.integral_T_real_mul_self_measureT_of_ne_zeroproof · cited by 0
- Polynomial.Chebyshev.integral_eq_sumZeroesproof · cited by 0
- Polynomial.Chebyshev.integral_eval_T_real_mul_self_measureT_zeroproof · cited by 0