Fill in the blanks in the proof of the following theorem.
THEOREM: A ⊆ B iff A ∩ B = A.
Proof: Suppose that A ⊆ B. If x ∈ A ∩ B, then clearly x ∈ A. Thus A ∩ B ⊆ A. On the other hand, ____________ _
Thus A ⊆ A ∩ B, and we conclude that A ∩ B = A.
Conversely, suppose that A ∩ B = A. If x ∈ A, then ____ Thus A ⊆ B.
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