Theorems · Theorem · commutative algebra
MvPolynomial.weightedHomogeneousComponent_eq_zero
∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] {σ : Type u_3} [inst_1 : AddCommMonoid M] {w : σ → M} (n : M)
(φ : MvPolynomial σ R) [inst_2 : SemilatticeSup M] [inst_3 : OrderBot M],
MvPolynomial.weightedTotalDegree w φ < n → (MvPolynomial.weightedHomogeneousComponent w n) φ = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- OrderBotstatement and proof · cited by 1,055
- Finset.filterproof · cited by 949
- SemilatticeSupstatement and proof · cited by 785
- lt_of_le_of_ltproof · cited by 432
- MvPolynomial.supportproof · cited by 220
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