Theorems · Theorem · commutative algebra
MonomialOrder.degree_le_degree_of_support_subset
∀ {σ : Type u_1} {m : MonomialOrder σ} {R : Type u_2} [inst : CommSemiring R] {p q : MvPolynomial σ R},
p.support ⊆ q.support → m.toSyn (m.degree p) ≤ m.toSyn (m.degree q)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 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.
Cites14
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
- Finsetstatement · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- AddEquivstatement · cited by 1,087
- Finset.supproof · cited by 530
- MvPolynomial.supportstatement and proof · cited by 220
- MonomialOrderstatement and proof · cited by 199
- MonomialOrder.degreestatement · cited by 132
- MonomialOrder.synstatement and proof · cited by 85
- MonomialOrder.toSynstatement and proof · cited by 82
Cited by1
Results whose statement or proof uses this declaration.
- MonomialOrder.withBotDegree_le_withBotDegree_of_support_subsetproof · cited by 0