Theorems · Theorem · commutative algebra
MonomialOrder.degree_one
∀ {σ : Type u_1} {m : MonomialOrder σ} {R : Type u_2} [inst : CommSemiring R], m.degree 1 = 0- Cited by
- 3 results in Mathlib
- Foundations
- Depth 84 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.
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
- Nontrivialproof · cited by 2,416
- MvPolynomialstatement and proof · cited by 2,140
- MonomialOrderstatement and proof · cited by 199
- MonomialOrder.degreestatement and proof · cited by 132
- MonomialOrder.degree_monomialproof · cited by 12
- MonomialOrder.degree_subsingletonproof · cited by 4
- MvPolynomial.one_defproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- MonomialOrder.degree_pow_leproof · cited by 2
- MonomialOrder.degree_powproof · cited by 1
- MonomialOrder.withBotDegree_oneproof · cited by 0