unfold cx' in |- *. unfold compo' in |- *. unfold cx3 in |- *. unfold cx_2_1, compo_2_1 in |- *.
unfold di1, cx1, al1, mem1, ad1, da1 in |- *. simple induction t. auto.
intros. rewrite cx_t. rewrite cx2_t. rewrite H. trivial.
Qed.

Lemma di_di' :
forall t : nat,
di t di_init cx_init al_init mem_init =
di' t di_init cx_init al_init mem_init DC_a DC_d.