How do i show this?
$A cap B subset (A cap C) cup (B cap C’)$
$$ x in A cap B$$
$$ implies x in A cap B cup emptyset$$
$$ implies x in A cap B cup (C cap C’)$$
$$ implies x in (A cap B cup C)cap(A cap B cup C’)$$
How do i proceed?
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$A cap B subset (A cap C) cup (B cap C')$
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