Problem #WSP-5269

Problems Discrete Mathematics Set theory and logic Set theory

Problem

Given three sets $A, B, C$ . Prove that if we take a union $A \cup B$ and intersect it with the set $C$ , we will get the same set as if we took a union of $A \cap C$ and $B \cap C$ . Essentially, prove that $(A \cup B) \cap C = (A \cap C) \cup (B \cap C)$ .

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