∀ {σ : Type u_2} (R : Type u_1) {A : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid A] [inst_2 : Module R A]
  [inst_3 : Module (MvPolynomial σ R) A] [inst_4 : IsScalarTower R (MvPolynomial σ R) A] (x : R)
  (x_1 : Derivation R (MvPolynomial σ R) A),
  (fun i => (x • x_1) (MvPolynomial.X i)) = fun i => (x • x_1) (MvPolynomial.X i)