Theorems · Theorem · commutative algebra
Polynomial.Chebyshev.T_eval_two_mul_zero
∀ (R : Type u_1) [inst : CommRing R] (n : ℤ), Polynomial.eval 0 (Polynomial.Chebyshev.T R (2 * n)) = ↑↑n.negOnePow
- Defined in
- Mathlib.RingTheory.Polynomial.Chebyshev
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Units.valstatement and proof · cited by 1,966
- Polynomial.evalstatement · cited by 796
- Int.negOnePowstatement and proof · cited by 156
- mul_div_cancel_left₀proof · cited by 111
- Polynomial.Chebyshev.Tstatement · cited by 108
- Int.coe_negOnePowproof · cited by 24
- Polynomial.Chebyshev.T_eval_zero_of_evenproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.