Theorems · Theorem · commutative algebra
Polynomial.Chebyshev.U_eval_one
∀ (R : Type u_1) [inst : CommRing R] (n : ℤ), Polynomial.eval 1 (Polynomial.Chebyshev.U R n) = ↑n + 1
- Defined in
- Mathlib.RingTheory.Polynomial.Chebyshev
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 106 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.
Cites25
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
- Nat.cast_oneproof · cited by 2,501
- zero_addproof · cited by 2,366
- Polynomial.Xproof · cited by 1,639
- Polynomial.evalstatement and proof · cited by 796
- Int.cast_natCastproof · cited by 393
- Int.cast_oneproof · cited by 371
- sub_add_cancelproof · cited by 344
- Int.cast_negproof · cited by 224
- Int.cast_zeroproof · cited by 188
- Polynomial.eval_Xproof · cited by 172
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.Chebyshev.iterate_derivative_U_eval_oneproof · cited by 3
- Polynomial.Chebyshev.derivative_T_eval_oneproof · cited by 0