intro d hd
R : Type u_1
ι : Type u_2
inst✝ : CommSemiring R
i : ι
p : MvPolynomial ι R
this : DecidableEq ι := Classical.decEq ι
⊢ IsHomogeneous (Finsupp.mapDomain (fun j => j + Finsupp.single i (p.totalDegree - j.sum fun x m => m)) p) p.totalDegree
R : Type u_1
ι : Type u_2
inst✝ : CommSemiring R
i : ι
p : MvPolynomial ι R
this : DecidableEq ι := Classical.decEq ι
d : ι →₀ ℕ
hd : coeff d (Finsupp.mapDomain (fun j => j + Finsupp.single i (p.totalDegree - j.sum fun x m => m)) p) ≠ 0
⊢ (weightedDegree 1) d = p.totalDegree