Theorems · Definition · commutative algebra
MvPolynomial.totalDegree
{R : Type u} → {σ : Type u_1} → [inst : CommSemiring R] → MvPolynomial σ R → ℕtotalDegree p gives the maximum |s| over the monomials X^s in p
- Defined in
- Mathlib.Algebra.MvPolynomial.Degrees
- Cited by
- 76 results in Mathlib
- Foundations
- Depth 60 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Finsuppproof · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- Finset.supproof · cited by 530
- Finsupp.sumproof · cited by 481
- MvPolynomial.supportproof · cited by 220
Cited by77
Results whose statement or proof uses this declaration.
- MvPolynomial.totalDegree_eq_zero_iff_eq_Cstatement and proof · cited by 9
- MvPolynomial.totalDegree_Cstatement · cited by 7
- MvPolynomial.totalDegree_zerostatement and proof · cited by 7
- MvPolynomial.le_totalDegreestatement · cited by 6
- MvPolynomial.totalDegree_onestatement · cited by 4
- MvPolynomial.IsHomogeneous.totalDegree_lestatement · cited by 3
- MvPolynomial.totalDegree_addstatement · cited by 3
- MvPolynomial.totalDegree_eqstatement · cited by 3
- MvPolynomial.totalDegree_eq_zero_iffstatement · cited by 3
- MvPolynomial.totalDegree_mulstatement · cited by 3
- MvPolynomial.totalDegree_mul_of_isDomainstatement · cited by 3
- MvPolynomial.totalDegree_zero_iff_isHomogeneousstatement · cited by 3