Naming and referencing a mathematical program

[fivoskal]

As is usual in literature, mathematical programs usually bear a name or a tag, e.g. P, placed at their left or right. How can I give and reference the whole program (with \eqref{}) by such a name and not just the objective function?
(Without losing the tags of each constraint and the objective)

[aravinat21]

There is a no such feature. So this will be a feature request.

[RakhDamir]

Hello,
I am also interested in such a feature to refer to each program by a special tag and index on the left side, for example (P1), (P2), ... and so on.
I appreciate if you could give any advice or an ad hoc solution for how to implement this.

[lauinger]

I am also interested in this.