intros P.
cut
(stable A A0 eqA plusA multA eqA_dec n ltM ltM_dec P
(buch A A0 A1 eqA plusA invA minusA multA divA cs eqA_dec n ltM ltM_dec
os P)).
intros H'0; inversion H'0; auto.
apply stable0; unfold redbuch in |- *; auto.
intros a H'.
apply cb_Red_cb1; auto.
intros a H'.
apply H0; auto.
apply cb_Red_cb2; auto.
apply buch_Stable; auto.
Qed.

Theorem redbuch_Grobner :
forall P : list (poly A0 eqA ltM),
Grobner A A0 A1 eqA plusA invA minusA multA divA eqA_dec n ltM ltM_dec
(redbuch P).