Theorems · Theorem · number theory
Polynomial.bernoulli_def
∀ (n : ℕ), Polynomial.bernoulli n = ∑ i ∈ Finset.range (n + 1), (Polynomial.monomial i) (bernoulli (n - i) * ↑(n.choose i))
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- Polynomialstatement and proof · cited by 5,681
- Finset.sumstatement and proof · cited by 5,195
- add_zeroproof · cited by 2,707
- Finset.sum_congrproof · cited by 2,323
- Finset.rangestatement and proof · cited by 1,341
- Nat.choosestatement and proof · cited by 494
- Polynomial.monomialstatement and proof · cited by 256
- bernoullistatement and proof · cited by 42
- Polynomial.bernoullistatement and proof · cited by 41
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.sum_bernoulliproof · cited by 2
- bernoulliFun_oneproof · cited by 1
- Polynomial.sum_range_pow_eq_bernoulli_subproof · cited by 1
- bernoulliFun_twoproof · cited by 0