Theorems · Theorem · number theory
Polynomial.bernoulli_eval_neg
∀ (n : ℕ) (x : ℚ),
Polynomial.eval (-x) (Polynomial.bernoulli n) =
(-1) ^ n * (Polynomial.eval x (Polynomial.bernoulli n) + ↑n * x ^ (n - 1))- Cited by
- 0 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Polynomial.Xproof · cited by 1,639
- Polynomial.evalstatement and proof · cited by 796
- mul_addproof · cited by 413
- Int.cast_oneproof · cited by 371
- nsmul_eq_mulproof · cited by 369
- smul_addproof · cited by 263
- Int.cast_negproof · cited by 224
- Polynomial.eval_Xproof · cited by 172
- Polynomial.eval_mulproof · cited by 127
- zsmul_eq_mulproof · cited by 120
- Polynomial.eval_oneproof · cited by 86
- Polynomial.eval_addproof · cited by 84
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.