Theorems · Definition · commutative algebra
MvPolynomial.coeffs
{R : Type u} → {σ : Type u_1} → [inst : CommSemiring R] → MvPolynomial σ R → Finset RThe finset of nonzero coefficients of a multivariate polynomial.
- Defined in
- Mathlib.Algebra.MvPolynomial.Basic
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- Finsuppproof · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- Finset.imageproof · cited by 910
- MvPolynomial.coeffproof · cited by 315
- MvPolynomial.supportproof · cited by 220
Cited by26
Results whose statement or proof uses this declaration.
- Algebra.Presentation.coeffsproof · cited by 6
- MvPolynomial.mem_range_map_iff_coeffs_subsetstatement and proof · cited by 5
- Algebra.SubmersivePresentation.coeffsproof · cited by 4
- MvPolynomial.coeffs_Cstatement and proof · cited by 3
- Algebra.Presentation.coeffs_relation_subset_coeffsstatement and proof · cited by 2
- MvPolynomial.coeffs_addstatement · cited by 2
- MvPolynomial.coeffs_mul_Xstatement · cited by 2
- TensorProduct.toIntegralClosure_mvPolynomial_bijectiveproof · cited by 1
- Algebra.SubmersivePresentation.map_jacobianRelationsOfHasCoeffsproof · cited by 1
- Algebra.Presentation.finite_coeffsproof · cited by 1
- MvPolynomial.coe_coeffs_mapstatement and proof · cited by 1
- Algebra.SubmersivePresentation.finite_coeffsproof · cited by 1