Theorems · Theorem · commutative algebra
MonomialOrder.withBotDegree_eq_coe_degree_iff
∀ {σ : Type u_1} {m : MonomialOrder σ} {R : Type u_2} [inst : CommSemiring R] (f : MvPolynomial σ R),
m.withBotDegree f = ↑(m.degree f) ↔ f ≠ 0- Cited by
- 2 results in Mathlib
- Foundations
- Depth 86 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 · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- WithBotstatement · cited by 1,498
- WithBot.somestatement and proof · cited by 541
- MonomialOrderstatement and proof · cited by 199
- MonomialOrder.degreestatement and proof · cited by 132
- MonomialOrder.withBotDegreestatement · cited by 26
- MonomialOrder.withBotDegree_eqproof · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- MonomialOrder.withBotDegree_mul_leproof · cited by 0
- MonomialOrder.toWithBotSyn_withBotDegree_mul_leproof · cited by 0