Theorems · Theorem · special functions
Polynomial.Chebyshev.integral_eval_T_real_measureT_of_ne_zero
∀ {n : ℤ}, n ≠ 0 → ∫ (x : ℝ), Polynomial.eval x (Polynomial.Chebyshev.T ℝ n) ∂Polynomial.Chebyshev.measureT = 0- 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.
Cites34
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
- MulZeroClass.mul_zeroproof · cited by 2,091
- MeasureTheory.integralstatement · cited by 1,779
- Real.piproof · cited by 1,774
- MeasureTheory.MeasureSpace.volumeproof · cited by 1,323
- le_of_ltproof · cited by 1,175
- sub_selfproof · cited by 996
- Polynomial.evalstatement · cited by 796
- intervalIntegralproof · cited by 546
- neg_zeroproof · cited by 542
- Real.cosproof · cited by 424
- Set.uIccproof · cited by 393
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_eval_T_real_measureT_of_neproof · cited by 0