Section Components.
Variable cfg : BDDconfig.
Hypothesis cfg_OK : BDDconfig_OK cfg.
Definition bs_of_cfg := fst cfg.
Definition share_of_cfg := fst (snd cfg).
Definition fl_of_cfg := fst (snd (snd cfg)).
Definition cnt_of_cfg := fst (snd (snd (snd cfg))).
Definition negm_of_cfg := fst (snd (snd (snd (snd cfg)))).
Definition orm_of_cfg := fst (snd (snd (snd (snd (snd cfg))))).
Definition um_of_cfg := snd (snd (snd (snd (snd (snd cfg))))).

Lemma nodes_preserved_bool_fun :
forall (cfg1 cfg2 : BDDconfig) (node : ad),
BDDconfig_OK cfg1 ->
BDDconfig_OK cfg2 ->
nodes_preserved cfg1 cfg2 ->
config_node_OK cfg1 node ->
bool_fun_eq (bool_fun_of_BDD cfg2 node) (bool_fun_of_BDD cfg1 node).