====== Sets and Logic ======

<WRAP centeralign>
//$\text{Let}\ C = \{1,2,3,4\},\ D = \{3,4,5\}$//
</WRAP>

^ Symbol                ^ Meaning                                                               ^ Example                                                                              ^
|  $\{\}$               | Set, Collection of elements                                           | $\{1,2,3,4\}$                                                                        |
|  $A \cup B$           | Union, in A or B (or both)                                            | $C \cup D = \{1,2,3,4,5\}$                                                           |
|  $A \cap B$           | Intersection, in both A and B                                         | $C \cap D = \{3,4\}$                                                                 |
|  $A \subseteq B$      | Subset, every element of A is in B                                    | $\{3,4,5\} \subseteq D$                                                              |
|  $A \subset B$        | Proper Subset, every element of A is in B, but B has more elements    | $\{3,5\} \subset D$                                                                  |
|  $A \not\subset B$    | Not a subset, A is not a subset of B                                  | $\{1,6\} \not\subset C$                                                              |
|  $A \supseteq B$      | Superset, A has same elements as B, or more                           | $\{1,2,3\} \supseteq \{1,2,3\}$                                                      |
|  $A \supset B $       | Proper Superset, A has B's elements and more                          | $\{1,2,3,4\} \supset \{1,2,3\}$                                                      |
|  $A \not\supset B$    | Not a Superset, A is not the superset of B                            | $\{1,2,6\} \not\subset \{1,9\}$                                                      |
|  $A^{\complement}$    | Complement, elemets not in A                                          | $D^{\complement} = \{1,2,6,7\}$ \\ $\text{When} \ \mathbb{U} = \{1,2,3,4,5,6,7\}$    |
|  $A - B$              | Difference, in A but not in B                                         | $\{1,2,3,4\} - \{3,4\} = \{1,2\}$                                                    |

=== Citations ===
https://www.mathsisfun.com/sets/symbols.html