Theorems · Theorem · commutative algebra
MvPolynomial.degree_degLexDegree
∀ {σ : Type u_1} {R : Type u_2} [inst : CommSemiring R] {f : MvPolynomial σ R} [inst_1 : LinearOrder σ]
[inst_2 : WellFoundedGT σ], Finsupp.degree (MonomialOrder.degLex.degree f) = f.totalDegree- Cited by
- 1 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- LinearOrderstatement and proof · cited by 8,572
- Finsuppstatement and proof · cited by 5,255
- AddMonoidHomstatement · cited by 3,230
- MvPolynomialstatement and proof · cited by 2,140
- le_antisymmproof · cited by 2,068
- map_zeroproof · cited by 1,614
- Finset.supproof · cited by 530
- MvPolynomial.supportproof · cited by 220
- MonomialOrder.degreestatement and proof · cited by 132
- WellFoundedGTstatement and proof · cited by 114
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.combinatorial_nullstellensatz_exists_eval_nonzeroproof · cited by 0