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## anonymous 4 years ago Discrete Math: Show that, (A-C) intersection (C-B) = the null set.

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1. anonymous

\begin{align} x \in (A \setminus C) \cap (C \setminus B) &\iff x \in (A \setminus C) \land x \in (C \setminus B) \\ &\iff x \in A \land \underbrace{x \notin C \land x \in C}_{\bot} \land x \notin B \\ &\iff \bot. \end{align}

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