(******************************************************)
(******************************************************)
(**************   FUNCTIONS         *******************)
(******************************************************)
(******************************************************)



(********** in order to bound Domain and Range we first ********)
(********** define  Total   ***********)

Definition UnionPlus (F : Ens) := union F (Union F).Definition Total (R : Ens) := UnionPlus (UnionPlus (UnionPlus R)).

Lemma total_and_pairs_1_OutA : IN A (Total R).