Theorems · Theorem · commutative algebra

MvPolynomial.isWeightedHomogeneous_monomial

∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] {σ : Type u_3} [inst_1 : AddCommMonoid M] (w : σ → M)
  (d : σ →₀ ℕ) (r : R) {m : M},
  (Finsupp.weight w) d = m → MvPolynomial.IsWeightedHomogeneous w ((MvPolynomial.monomial d) r) m

Monomials are weighted homogeneous.

Defined in

Mathlib.RingTheory.MvPolynomial.WeightedHomogeneous

Cited by

5 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoid