Theorems · Theorem · commutative algebra
MvPolynomial.weightedTotalDegree_one
∀ {σ : Type u_1} {R : Type u_3} [inst : CommSemiring R] (φ : MvPolynomial σ R),
MvPolynomial.weightedTotalDegree 1 φ = φ.totalDegreeThe totalDegree of a polynomial p is a special case of the weightedTotalDegree of p
where all of the weights are 1.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 80 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.
Cites9
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
- mul_oneproof · cited by 3,885
- MvPolynomialstatement and proof · cited by 2,140
- Finset.supproof · cited by 530
- Finsupp.sumproof · cited by 481
- MvPolynomial.supportproof · cited by 220
- MvPolynomial.totalDegreestatement · cited by 76
- MvPolynomial.weightedTotalDegreestatement · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- MvPolynomial.totalDegree_zero_iff_isHomogeneousproof · cited by 3
- MvPolynomial.totalDegree_eq_zero_iffproof · cited by 3