Question: Let A, B, C, Z) be nonempty sets. (a) Prove that A B CD) if and only if A C and BD.

Let A, B, C, Z) be nonempty sets.
(a) Prove that A × B ⊂ C×D) if and only if A ⊂ C and B⊂D.
(b) What happens to the result in part (a) if any of the sets A, B, C, D is empty?

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