Theorems · Theorem · commutative algebra
MonomialOrder.degree_sPolynomial_le
∀ {σ : Type u_1} {m : MonomialOrder σ} {R : Type u_2} [inst : CommRing R] (f g : MvPolynomial σ R),
m.toSyn (m.degree (m.sPolynomial f g)) ≤ m.toSyn (m.degree f ⊔ m.degree g)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
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
- CommRingstatement and proof · cited by 17,173
- Finsuppstatement · cited by 5,255
- LE.le.transproof · cited by 3,151
- MvPolynomialstatement and proof · cited by 2,140
- map_zeroproof · cited by 1,614
- AddEquivstatement · cited by 1,087
- sup_of_le_leftproof · cited by 218
- MonomialOrderstatement and proof · cited by 199
- sup_of_le_rightproof · cited by 143
- MonomialOrder.degreestatement and proof · cited by 132
- tsub_add_cancel_of_leproof · cited by 112
Cited by1
Results whose statement or proof uses this declaration.
- MonomialOrder.degree_sPolynomialproof · cited by 1