proposition: Theorem Reducestar_pO_imp_CombLinear : forall (Q : list (poly A0 eqA ltM)) (p q : list (Term A n)), reducestar A A0 A1 eqA invA minusA multA divA eqA_dec n ltM ltM_dec Q p q -> canonical A0 eqA ltM p -> eqP A eqA n q (pO A n) -> CombLinear Q p.
proof: Proof. Proof using os cs. intros Q p q H' H'0 H'1; inversion H'1; auto. apply CombLinear_reducestar with (q := q); auto. rewrite <- H; auto. Qed.