Theorems · Definition · field theory
Polynomial.coeff
{R : Type u} → [inst : Semiring R] → Polynomial R → ℕ → Rcoeff p n (often denoted p.coeff n) is the coefficient of X^n in p.
- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 1,045 results in Mathlib
- Foundations
- Depth 59 from the axioms, rests on 853 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- AddMonoidAlgebraproof · cited by 649
- AddMonoidAlgebra.coeffproof · cited by 365
Cited by1,089
Results whose statement or proof uses this declaration.
- Polynomial.leadingCoeffproof · cited by 498
- Polynomial.extstatement · cited by 118
- Polynomial.coeff_mapstatement and proof · cited by 114
- Polynomial.toPowerSeriesproof · cited by 96
- Polynomial.map_mulproof · cited by 90
- Polynomial.coeff_addstatement and proof · cited by 77
- Polynomial.map_mapproof · cited by 75
- Polynomial.sumproof · cited by 67
- Polynomial.coeff_C_zerostatement · cited by 58
- Polynomial.scaleRootsproof · cited by 56
- Polynomial.coeff_C_mulstatement and proof · cited by 55
- Polynomial.coeff_eq_zero_of_natDegree_ltstatement · cited by 55
Showing the 200 most cited of 1,089.