Theorems · Theorem · commutative algebra
MonomialOrder.degree_X
∀ {σ : Type u_1} {m : MonomialOrder σ} {R : Type u_2} [inst : CommSemiring R] [Nontrivial R] {s : σ},
m.degree (MvPolynomial.X s) = fun₀ | s => 1- Cited by
- 2 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringNontrivial
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
- Finsuppstatement and proof · cited by 5,255
- Nontrivialstatement and proof · cited by 2,416
- Finsupp.singlestatement and proof · cited by 943
- one_ne_zeroproof · cited by 885
- MvPolynomial.Xstatement · cited by 552
- MonomialOrderstatement and proof · cited by 199
- MonomialOrder.degreestatement · cited by 132
- MonomialOrder.degree_monomialproof · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- MonomialOrder.degree_X_add_Cproof · cited by 1
- MonomialOrder.monic_X_add_Cproof · cited by 1