Question: Suppose R is a partial order on A and S is a partial order on B. Define a relation T on A B such that

Suppose R is a partial order on A and S is a partial order on B. Define a relation T on A B such that (a₁, b₁) T (a₂, b₂) iff a₁ R a₂ and b₁ S b₂. Is T a partial order on A x B? Either provide a proof to show that this is true or provide a counterexample to show that this is false

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