Suppose that (S, 41) and (T , 42) are posets. Show that (S  T , 4) is a poset where (s, t) 4 (u, v) ifand only if s 41 u and t 42 v. Show your work in details. Suppose that (S, 1) and (T, 32) are...

Suppose that (S, 41) and (T , 42) are posets. Show that (S  T , 4) is a poset where (s, t) 4 (u, v) if
and only if s 41 u and t 42 v. Show your work in details.

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