Please provide a thorough explanation, and help set up the solution for the following:

Suppose R is a partial order on A and S is a partial order on B. Dene a relation T on A x B such that {31, b1) T (as, its) iii an R a: and b1 3 b2. Is T a partial order on A x B? Either provide a proof to show that this is tme or provide a counterexample to showr that this is falsei