proposition: Fact sum_0n_scal_l n k f : ∑ n (fun i => k*f i) = k*∑ n f.
proof: Proof. apply sum_0n_distr_l with (3 := Nat_mult_monoid); auto. intros; ring. Qed.
imports: List Arith ZArith Lia Undecidability.Shared.Libs.DLW.Utils(utils_tac utils_list binomial)