Theorems · Theorem · commutative algebra
MvPolynomial.isWeightedHomogeneous_of_total_degree_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) {p : MvPolynomial σ R},
MvPolynomial.weightedTotalDegree w p = ⊥ → MvPolynomial.IsWeightedHomogeneous w p ⊥A polynomial of weightedTotalDegree ⊥ is weighted homogeneous of degree ⊥.
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- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
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- DFunLike.coeproof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- Finsuppproof · cited by 5,255
- Bot.botstatement and proof · cited by 4,720
- MvPolynomialstatement and proof · cited by 2,140
- WithBotproof · cited by 1,498
- OrderBotstatement and proof · cited by 1,055
- SemilatticeSupstatement and proof · cited by 785
- WithBot.someproof · cited by 541
- Finset.supproof · cited by 530
- MvPolynomial.coeffproof · cited by 315
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