Theorems · Theorem · commutative algebra

Polynomial.Chebyshev.U_eval_neg

∀ (R : Type u_1) [inst : CommRing R] (n : ℕ) (x : R),
  Polynomial.eval (-x) (Polynomial.Chebyshev.U R ↑n) =
    ↑↑(↑n).negOnePow * Polynomial.eval x (Polynomial.Chebyshev.U R ↑n)

Defined in: Mathlib.RingTheory.Polynomial.Chebyshev
Cited by: 0 results in Mathlib
Foundations: Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing

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CommRingstatement and proof · cited by 17,173
Polynomialproof · cited by 5,681
mul_oneproof · cited by 3,885
one_mulproof · cited by 2,841
Unitsproof · cited by 2,804
Nat.cast_oneproof · cited by 2,501
Units.valstatement and proof · cited by 1,966
Polynomial.Xproof · cited by 1,639
neg_negproof · cited by 960
Polynomial.evalstatement and proof · cited by 796
neg_mulproof · cited by 654
mul_negproof · cited by 590

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