use h_w
case mp.intro.intro
R : Type u_1
ι : Type u_2
inst✝ : CommSemiring R
p : MvPolynomial ι R
h_w : ι →₀ ℕ
h_h₁ : coeff h_w p ≠ 0
h_h₂ : (weightedDegree 1) h_w ≠ p.totalDegree
⊢ ∃ m, coeff m ((homogeneousComponent p.totalDegree) p) ≠ coeff m p
case h
R : Type u_1
ι : Type u_2
inst✝ : CommSemiring R
p : MvPolynomial ι R
h_w : ι →₀ ℕ
h_h₁ : coeff h_w p ≠ 0
h_h₂ : (weightedDegree 1) h_w ≠ p.totalDegree
⊢ coeff h_w ((homogeneousComponent p.totalDegree) p) ≠ coeff h_w p