Theorems · Theorem · commutative algebra
Polynomial.Chebyshev.S_eval_neg_two
∀ (R : Type u_1) [inst : CommRing R] (n : ℤ), Polynomial.eval (-2) (Polynomial.Chebyshev.S R n) = ↑↑n.negOnePow * (↑n + 1)
- Defined in
- Mathlib.RingTheory.Polynomial.Chebyshev
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites42
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
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- zero_addproof · cited by 2,366
- 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
- Nat.cast_addproof · cited by 586
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