Theorems · Theorem · number theory
Polynomial.bernoulli_comp_one_add_X
∀ (n : ℕ), (Polynomial.bernoulli n).comp (1 + Polynomial.X) = Polynomial.bernoulli n + n • Polynomial.X ^ (n - 1)
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites52
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Polynomialstatement and proof · cited by 5,681
- Finset.sumproof · cited by 5,195
- mul_oneproof · cited by 3,885
- add_zeroproof · cited by 2,707
- Nat.cast_oneproof · cited by 2,501
- zero_addproof · cited by 2,366
- Finset.sum_congrproof · cited by 2,323
- MulZeroClass.mul_zeroproof · cited by 2,091
- mul_assocproof · cited by 1,667
- Polynomial.Xstatement and proof · cited by 1,639
- Finset.rangeproof · cited by 1,341
- pow_zeroproof · cited by 1,094
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.bernoulli_comp_one_sub_Xproof · cited by 2
- Polynomial.bernoulli_eval_one_addproof · cited by 0