Theorems · Theorem · number theory
Polynomial.bernoulli_eval_one_add
∀ (n : ℕ) (x : ℚ), Polynomial.eval (1 + x) (Polynomial.bernoulli n) = Polynomial.eval x (Polynomial.bernoulli n) + ↑n * x ^ (n - 1)
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- 0 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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
- nsmul_eq_mulproof · cited by 369
- Polynomial.compproof · cited by 193
- Polynomial.eval_Xproof · cited by 172
- Polynomial.eval_mulproof · cited by 127
- Polynomial.eval_oneproof · cited by 86
- Polynomial.eval_addproof · cited by 84
- Polynomial.eval_powproof · cited by 75
- Polynomial.bernoullistatement and proof · cited by 41
- Polynomial.eval_compproof · cited by 29
- Polynomial.eval_natCastproof · cited by 24
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