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(********** 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)).

Theorem Relation_Total_th2 : forall (R A B : Ens) (i : IN (PAIR A B) R), IN B (Total R).