Theorems · Theorem · commutative algebra
Polynomial.Chebyshev.degree_T
∀ (R : Type u_1) [inst : CommRing R] [IsDomain R] [NeZero 2] (n : ℤ), (Polynomial.Chebyshev.T R n).degree = ↑n.natAbs
- Defined in
- Mathlib.RingTheory.Polynomial.Chebyshev
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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
- Polynomialproof · cited by 5,681
- Nat.cast_oneproof · cited by 2,501
- mul_commproof · cited by 2,262
- IsDomainstatement and proof · cited by 2,196
- mul_assocproof · cited by 1,667
- Polynomial.Xproof · cited by 1,639
- WithBotstatement and proof · cited by 1,498
- Polynomial.degreestatement and proof · cited by 643
- CharP.cast_eq_zeroproof · cited by 357
- two_ne_zeroproof · cited by 251
- Polynomial.Chebyshev.Tstatement and proof · cited by 108
Cited by7
Results whose statement or proof uses this declaration.
- Polynomial.Chebyshev.roots_T_realproof · cited by 2
- Polynomial.Chebyshev.sumNodes_eq_sumNodes_T_iffproof · cited by 2
- Polynomial.Chebyshev.T_ne_zeroproof · cited by 1
- Polynomial.Chebyshev.leadingCoeff_Tproof · cited by 1
- Polynomial.Chebyshev.natDegree_Tproof · cited by 0
- Polynomial.Chebyshev.eval_iterate_derivative_eq_iff_of_boundedproof · cited by 0
- Polynomial.Chebyshev.eval_iterate_derivative_le_of_forall_abs_le_oneproof · cited by 0