Definition BDDmake :=
  if Neqb l r
  then (cfg, l)
  else
   match MapGet3 _ (fst (snd cfg)) l r x with
   | Some y => (cfg, y)
   | None => BDDalloc gc cfg x l r ul
   end.

Lemma BDDmake_node_height_le : Nleb (node_height (fst BDDmake) (snd BDDmake)) (ad_S x) = true.