proposition: Fact vec_pos_plus v w p : vec_pos (vec_plus v w) p = vec_pos v p + vec_pos w p.
proof: Proof. unfold vec_plus; rewrite vec_pos_set; auto. Qed.
imports: Arith Lia List Permutation Undecidability.Shared.Libs.DLW.Utils(utils) Undecidability.Shared.Libs.DLW.Vec(pos)