Theorems · Definition · field theory
Polynomial.trailingCoeff
{R : Type u} → [inst : Semiring R] → Polynomial R → RtrailingCoeff p gives the coefficient of the smallest power of X in p.
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- Polynomial.coeffproof · cited by 1,045
- Polynomial.natTrailingDegreeproof · cited by 87
Cited by21
Results whose statement or proof uses this declaration.
- Polynomial.trailingCoeff_nonzero_iff_nonzerostatement · cited by 6
- Polynomial.reverse_leadingCoeffstatement and proof · cited by 5
- Polynomial.trailingCoeff_eq_zerostatement and proof · cited by 5
- Polynomial.mirror_natDegreeproof · cited by 4
- Polynomial.trailingCoeff_zerostatement · cited by 3
- Polynomial.natTrailingDegree_mul'statement and proof · cited by 2
- Polynomial.TrailingMonicproof · cited by 2
- Polynomial.eval_divByMonic_eq_trailingCoeff_compstatement and proof · cited by 1
- Polynomial.trailingCoeff_eq_coeff_zerostatement · cited by 1
- Polynomial.mirror_leadingCoeffstatement and proof · cited by 1
- Polynomial.mirror_trailingCoeffstatement and proof · cited by 1
- Polynomial.trailingDegree_mul'statement and proof · cited by 1