Theorems · Theorem · commutative algebra

MvPolynomial.weightedHomogeneousComponent_mem

∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] {σ : Type u_3} [inst_1 : AddCommMonoid M] (w : σ → M)
  (φ : MvPolynomial σ R) (m : M),
  (MvPolynomial.weightedHomogeneousComponent w m) φ ∈ MvPolynomial.weightedHomogeneousSubmodule R w m

Defined in

Mathlib.RingTheory.MvPolynomial.WeightedHomogeneous

Cited by

2 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoid