Might just be simpler to do:
p = { p1, p2, ... , pt }
As that defines both p and t in one go.
I'm rusty though.
That does make sense though.
I have corrected it so that P = {p1, p2 ...}
The second bit is to make it clear that t must be 1, 2, 3 . . . t with no missing numbers, (otherwise things break later).
@Greenbank started
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Might just be simpler to do:
p = { p1, p2, ... , pt }
As that defines both p and t in one go.
I'm rusty though.