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(* as published by the Free Software Foundation; either version 2.1   *)
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(* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the      *)
(* GNU General Public License for more details.                       *)
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(* 02110-1301 USA                                                     *)

Lemma BDDneg_memo_OK_1_lemma_1_2' :
forall (cfg : BDDconfig) (x : BDDvar) (l r node : ad)
(n m : nat) (memo : BDDneg_memo),
BDDconfig_OK cfg ->
MapGet _ (fst cfg) node = Some (x, (l, r)) ->
nat_of_N (var cfg node) < n ->
n = S m ->
BDDneg_memo_OK_2 (fst (BDDneg_2 (fst (BDDneg_2 cfg l m)) r m)) memo ->
BDDneg_memo_OK_2 (fst (BDDneg_2 cfg node n))
(BDDneg_memo_put memo node (snd (BDDneg_2 cfg node n))).