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Math — Set Algebra & De Morgan

De Morgan's laws, distributivity and inclusion–exclusion.

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(A \cup B)' = A' \cap B'

(A \cap B)' = A' \cup B'

A \cap (B \cup C) = (A\cap B)\cup(A\cap C)

|A \cup B| = |A| + |B| - |A\cap B|