Theorems · Definition · commutative algebra
Polynomial.Chebyshev.T
(R : Type u_1) → [inst : CommRing R] → ℤ → Polynomial R
T n is the n-th Chebyshev polynomial of the first kind.
- Defined in
- Mathlib.RingTheory.Polynomial.Chebyshev
- Cited by
- 108 results in Mathlib
- Foundations
- Depth 98 from the axioms, rests on 1,907 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Xproof · cited by 1,639
Cited by109
Results whose statement or proof uses this declaration.
- Polynomial.Chebyshev.T_zerostatement · cited by 21
- Polynomial.Chebyshev.T_add_twostatement and proof · cited by 20
- Polynomial.Chebyshev.T_onestatement · cited by 17
- Polynomial.Chebyshev.T_negstatement and proof · cited by 8
- Polynomial.Chebyshev.T_sub_onestatement and proof · cited by 8
- Polynomial.Chebyshev.abs_eval_T_real_le_onestatement and proof · cited by 7
- Polynomial.Chebyshev.degree_Tstatement and proof · cited by 7
- Polynomial.Chebyshev.T_derivative_eq_Ustatement and proof · cited by 7
- Polynomial.Chebyshev.T_real_cosstatement and proof · cited by 6
- Polynomial.Chebyshev.T_eq_U_sub_X_mul_Ustatement and proof · cited by 4
- Polynomial.Chebyshev.T_eval_negstatement and proof · cited by 4
- Polynomial.Chebyshev.abs_eval_T_real_eq_one_iffstatement and proof · cited by 3