Theorems · Definition · field theory
Polynomial.coeffs
{R : Type u} → [inst : Semiring R] → Polynomial R → Finset RThe finset of nonzero coefficients of a polynomial.
- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 41 results in Mathlib
- Foundations
- Depth 74 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.
Cites6
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
- Finsetstatement · cited by 13,712
- Polynomialstatement and proof · cited by 5,681
- Polynomial.coeffproof · cited by 1,045
- Finset.imageproof · cited by 910
- Polynomial.supportproof · cited by 237
Cited by44
Results whose statement or proof uses this declaration.
- Polynomial.contentIdealproof · cited by 24
- isIntegral_transproof · cited by 15
- Polynomial.toSubringstatement and proof · cited by 15
- Polynomial.restrictionstatement · cited by 11
- IsAlgebraic.restrictScalarsproof · cited by 6
- Polynomial.map_toSubringstatement and proof · cited by 6
- Polynomial.coeff_restrictionstatement · cited by 5
- Polynomial.coeff_toSubringstatement and proof · cited by 5
- Polynomial.coeff_mem_coeffsstatement · cited by 5
- Polynomial.mem_coeffs_iffstatement · cited by 4
- Polynomial.monic_toSubringstatement and proof · cited by 3
- IsSeparable.of_algebra_isSeparable_of_isSeparableproof · cited by 3