Theorems · Theorem · commutative algebra
MonomialOrder.toSyn_degree_mul_le
∀ {σ : Type u_1} {m : MonomialOrder σ} {R : Type u_2} [inst : CommSemiring R] {f g : MvPolynomial σ R},
m.toSyn (m.degree (f * g)) ≤ m.toSyn (m.degree f) + m.toSyn (m.degree g)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 88 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- AddEquivstatement · cited by 1,087
- map_addproof · cited by 964
- MonomialOrderstatement and proof · cited by 199
- MonomialOrder.degreestatement and proof · cited by 132
- MonomialOrder.synstatement · cited by 85
- MonomialOrder.toSynstatement and proof · cited by 82
- MonomialOrder.degree_mul_leproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- MonomialOrder.toWithBotSyn_withBotDegree_mul_leproof · cited by 0