Theorems · Theorem · number theory
Polynomial.bernoulli_eval_zero
∀ (n : ℕ), Polynomial.eval 0 (Polynomial.bernoulli n) = bernoulli n
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- Nat.cast_oneproof · cited by 2,501
- Polynomial.evalstatement · cited by 796
- Nat.chooseproof · cited by 494
- Nat.choose_zero_rightproof · cited by 55
- bernoullistatement and proof · cited by 42
- Polynomial.bernoullistatement and proof · cited by 41
- Polynomial.coeff_zero_eq_eval_zeroproof · cited by 20
- Polynomial.coeff_bernoulliproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- bernoulliFun_eval_zeroproof · cited by 3
- hasSum_zeta_natproof · cited by 3
- riemannZeta_neg_nat_eq_bernoulli'proof · cited by 1