Q(A)$A… is very redundant.
Just with Q(A)… Equation Q will be written one time for each member of A.
If A is empty, it will never be written. Remember that you can only have empty sets if you choose option $Onempty, indicate dimension and have empty bars. Take this example:
$Onempty
set A(*) / /;
variable d;
equation Q,dummy;
Q(A)… d =E= 0;
dummy… d=l=2;
model p /all/;
solve p using lp maximizing d