For any two sets A and B, prove that:


For any two sets $A$ and $B$, prove that: $A \cap B=\phi \Rightarrow A \subseteq B$.


Let $a \in A \Rightarrow a \notin B \quad(\because A \cap B=\phi)$.

$\Rightarrow a \in B$

Thus, $a \in A$ and $a \in B^{\prime} \Rightarrow A \subseteq B$ '.

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