Theorems · Theorem · number theory
Polynomial.bernoulli_comp_one_sub_X
∀ (n : ℕ), (Polynomial.bernoulli n).comp (1 - Polynomial.X) = (-1) ^ n * Polynomial.bernoulli n
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
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
- mul_oneproof · cited by 3,885
- Nat.cast_oneproof · cited by 2,501
- Polynomial.Xstatement and proof · cited by 1,639
- pow_zeroproof · cited by 1,094
- sub_eq_add_negproof · cited by 1,023
- Nat.cast_addproof · cited by 586
- Int.cast_oneproof · cited by 371
- nsmul_eq_mulproof · cited by 369
- smul_addproof · cited by 263
- Int.cast_negproof · cited by 224
- Polynomial.compstatement and proof · cited by 193
Cited by2
Results whose statement or proof uses this declaration.
- bernoulliFun_eval_one_subproof · cited by 1
- Polynomial.bernoulli_eval_one_subproof · cited by 0