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Theorems · Theorem · commutative algebra

MvPolynomial.mem_homogeneousSubmodule

∀ {σ : Type u_1} {R : Type u_3} [inst : CommSemiring R] (n : ℕ) (p : MvPolynomial σ R),
  p ∈ MvPolynomial.homogeneousSubmodule σ R n ↔ p.IsHomogeneous n
Defined in
Mathlib.RingTheory.MvPolynomial.Homogeneous
Cited by
1 results in Mathlib
Foundations
Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiring
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MvPolynomial.homogeneousSubmodule_zero · cited by 1MvPolynomial.homogeneousS…CommSemiring · cited by 10911CommSemiringSubmodule · cited by 7192SubmoduleFinsupp · cited by 5255FinsuppMvPolynomial · cited by 2140MvPolynomialMvPolynomial.IsHomogeneous · cited by 68MvPolynomial.IsHomogeneousMvPolynomial.homogeneousSubmodule · cited by 23MvPolynomial.homogeneousS…MvPolynomial.mem_homogeneousS…CITED BYCITES

Cites6

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Cited by1

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