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Enumerate elements of a set built using properties

How can I enumerate all the elements of a set?

For example (I'll use latex to describe the desired set) if the set is:

[ W = { u_{i}[j], \overline{u}_{i}[j]: 1 \leq i \leq n, 1 \leq j \leq m } ]

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Enumerate elements of a set built using properties

How can I enumerate all the elements of a set?

For example (I'll use latex to describe the desired set) if the set is:

[ $$ W = { u_{i}[j], \overline{u}_{i}[j]: 1 \leq i \leq n, 1 \leq j \leq m } ]} $$