Theorems · Theorem · commutative algebra

MvPolynomial.IsWeightedHomogeneous.C_mul

∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] {σ : Type u_3} [inst_1 : AddCommMonoid M] {φ : MvPolynomial σ R}
  {m : M} {w : σ → M},
  MvPolynomial.IsWeightedHomogeneous w φ m → ∀ (r : R), MvPolynomial.IsWeightedHomogeneous w (MvPolynomial.C r * φ) m

Defined in

Mathlib.RingTheory.MvPolynomial.WeightedHomogeneous

Cited by

1 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoid