Table 5.3.3 (plus others) - Properties of $\emptyset$ and Universal set

Given any sets $A$, $B$, and $C$, the universal set $U$ and the empty set $\emptyset$:
1. Union with $\emptyset$:	$A \cup \emptyset = A$
2. Intersection and Union with Complement	$A \cap A' = \emptyset$
	$A \cup A' = U$
3. Intersection with $\emptyset$ :	$A \cap \emptyset = \emptyset$
4. Complement of Union and $\emptyset$:	$U' = \emptyset$
	$\emptyset' = U$
5. Every set is subset of Universal	$\forall A \in \{Sets\}, A \subseteq U$
6. Empty set is subset of every set	$\forall A \in \{Sets\}, \emptyset \subseteq A$
7. Definition of Empty Set	$\forall A \in \{Sets\}, A = \emptyset \leftrightarrow \forall x \in U, x \not \in A$

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