Theorems · Theorem · commutative algebra
MvPolynomial.weightedTotalDegree_zero
∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] {σ : Type u_3} [inst_1 : AddCommMonoid M]
[inst_2 : SemilatticeSup M] [inst_3 : OrderBot M] (w : σ → M), MvPolynomial.weightedTotalDegree w 0 = ⊥The weightedTotalDegree of the zero polynomial is ⊥.
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- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement · cited by 5,255
- Bot.botstatement and proof · cited by 4,720
- MvPolynomialstatement · cited by 2,140
- OrderBotstatement and proof · cited by 1,055
- SemilatticeSupstatement and proof · cited by 785
- Finset.sup_emptyproof · cited by 72
- MvPolynomial.weightedTotalDegreestatement · cited by 11
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