4. $(bigcup_{i} E_{i}) F = bigcup_{i} E_{i}F$, and $(bigcap_{i} E_{i}) UF = bigcap_{i} (E_{i} UF)$.
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4. $(\bigcup_{i} E_{i}) F = \bigcup_{i} E_{i}F$, and $(\bigcap_{i} E_{i}) UF = \bigcap_{i} (E_{i} UF)$.
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