Theorems · Definition · commutative algebra
MvPolynomial.support
{R : Type u} → {σ : Type u_1} → [inst : CommSemiring R] → MvPolynomial σ R → Finset (σ →₀ ℕ)The finite set of all m : σ →₀ ℕ such that X^m has a non-zero coefficient.
- Defined in
- Mathlib.Algebra.MvPolynomial.Basic
- Cited by
- 220 results in Mathlib
- Foundations
- Depth 19 from the axioms, rests on 144 definitions · uses propext
- Assumes
- CommSemiring
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.
- Finsetstatement · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- Finsupp.supportproof · cited by 828
- AddMonoidAlgebra.coeffproof · cited by 365
Cited by231
Results whose statement or proof uses this declaration.
- MonomialOrder.degreeproof · cited by 132
- MvPolynomial.totalDegreeproof · cited by 76
- MvPolynomial.degreesproof · cited by 51
- MvPolynomial.mem_support_iffstatement · cited by 37
- MonomialOrder.withBotDegreeproof · cited by 26
- MvPolynomial.coeffsproof · cited by 24
- MvPolynomial.degreeOf_eq_supstatement and proof · cited by 15
- MvPolynomial.as_sumstatement · cited by 14
- MvPolynomial.notMem_support_iffstatement · cited by 12
- MonomialOrder.withBotDegree_eqproof · cited by 12
- MvPolynomial.weightedTotalDegreeproof · cited by 11
- MonomialOrder.le_degreestatement and proof · cited by 11
Showing the 200 most cited of 231.