Fundamental laws of set algebra

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$\bar{\bar{A}} = A$
$\bar{\emptyset} = Ω$		$\bar{Ω} = \emptyset$
$A \cup \emptyset = A$		$A \cap Ω = A$
$A \cup Ω = Ω$		$A \cap \emptyset = A$
$A \cup B = B \cup A$ $A \cap B = B \cap A$		Commutative laws
$(A \cup B) \cup C = A \cup (B \cup C)$ $(A \cap B) \cap C = A \cap (B \cap C)$		Associative laws
$A \cup (B \cap C) = (A \cup B) \cap (A \cup C)$ $A \cap (B \cup C) = (A \cap B) \cup (A \cap C)$		Distributive laws
$A \cup (A \cap B) = A$ $A \cap (A \cup B) = A$		Absorption laws
$A \cup A = A$ $A \cap A = A$		Idempotent laws
$\bar{A \cup B} = \bar{A} \cap \bar{B}$ $\bar{A \cap B} = \bar{A} \cup \bar{B}$		De Morgan's laws

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Fundamental laws of set algebra