intros i L L1 L2 H'; elim H'; clear H'; simpl in |- *; auto.
intros L0 L3 L4 L5 a i0 H' H'0 H'1 a0 H'2.
case (addEnd_cons A A0 eqA n ltM) with (1 := H'2); auto; intros H'7.
rewrite H'7; auto.
left; exists a; split; simpl in |- *; auto.
elim (H'1 a0); auto.
intros H'3; case H'3; intros b E; case E; intros H'4 H'5; rewrite H'5;
clear E H'3.
left; exists b; split; auto.
right; try assumption.
generalize (slicef_incl i0 a L3); unfold slicef in |- *; rewrite H'; auto.
intros L0 L3 L4 L5 a i0 H' H'0 H'1 a0 H'2.
elim (H'1 a0);
[ intros H'5; elim H'5; intros b E; elim E; intros H'6 H'7; rewrite H'7;
clear E H'5
| intros H'5
| idtac ]; auto.
left; exists b; split; [ right | idtac ]; auto.
generalize (slicef_incl i0 a L3); unfold slicef in |- *; rewrite H'; auto.
Qed.
Hint Resolve (addEnd_id2 A A0 eqA n ltM).
Hint Resolve (addEnd_id1 A A0 eqA n ltM).

Theorem genPcP_incl :
forall (i : poly A0 eqA ltM) (L L1 L2 : list _),
genPcP i L1 L L2 -> incl L L2.