In the following example, x can appear in ps. However, since it is bounded 
(see step 1), this does not pose an issue.

1::nfrab1            |- F/_ x { x e. RR | x < 5 }
2:1:nfel2           |- F/ x A e. { x e. RR | x < 5 }
3::eleq1            |- ( x = A -> ( x e. { x e. RR | x < 5 } <-> A e. { x 
e. RR | x < 5 } ) )
qed:2,3:rspc       |- ( A e. V -> ( A. x e. V x e. { x e. RR | x < 5 } -> A 
e. { x e. RR | x < 5 } ) )

$= ( cv c5 clt wbr cr crab wcel nfrab1 nfel2 eleq1 rspc ) 
ADZOEFGZAHIZJBQJABCAB
   QPAHKLOBQMN $.

$d A x
$d V x

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