Theorems · Definition · commutative algebra
MvPolynomial.degreeOf
{R : Type u} → {σ : Type u_1} → [inst : CommSemiring R] → σ → MvPolynomial σ R → ℕdegreeOf n p gives the highest power of $X_n$ that appears in p
- Defined in
- Mathlib.Algebra.MvPolynomial.Degrees
- Cited by
- 53 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.
Cites4
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
- MvPolynomialstatement and proof · cited by 2,140
- Multiset.countproof · cited by 302
- MvPolynomial.degreesproof · cited by 51
Cited by53
Results whose statement or proof uses this declaration.
- MvPolynomial.degreeOf_eq_supstatement · cited by 15
- MvPolynomial.degreeOf_zerostatement · cited by 7
- MvPolynomial.degreeOf_defstatement · cited by 7
- MvPolynomial.degreeOf_le_iffstatement · cited by 2
- MvPolynomial.degreeOf_mul_X_of_nestatement · cited by 2
- MvPolynomial.degreeOf_mul_eqstatement · cited by 2
- MvPolynomial.degreeOf_rename_of_injectivestatement · cited by 2
- MvPolynomial.degree_finSuccEquivstatement and proof · cited by 2
- MvPolynomial.natDegree_optionEquivLeftstatement and proof · cited by 2
- MvPolynomial.le_degreeOf_of_mem_supportstatement and proof · cited by 2
- MvPolynomial.degreeOf_add_lestatement · cited by 2
- MvPolynomial.degreeOf_eq_natDegreestatement and proof · cited by 2