Set Theory
| Operation | Result | LaTeX code |
|---|---|---|
| Intersection |  |
\cap |
| Union |  |
\cup |
| Empty set |  |
\emptyset |
| Element of |  |
\in |
 |
\ni | |
| Not element of |  |
\notin |
 |
\notni | |
| Subset of |  |
\subset |
 |
\subseteq | |
| Not subset of |  |
\nsubset |
 |
\nsubseteq | |
| Superset of |  |
\supset |
 |
\supseteq | |
| Not Superset of |  |
\nsupset |
 |
\nsupseteq | |
| Symmetric difference |  |
\Delta |
| Complement |  |
\overline A |
| Complement |  |
A' |
| For all |  |
\forall |
| Exists |  |
\exists |
| Cardinality |  |
|A| |
| Intersection of A and B |  |
A \cap B |
| Union of A and B |  |
A \cup B |
| A without B |  |
A \backslash B |
| A without B with added spaces |
 |
A \ \backslash \ B |
| Complement to the union of A and B |
 |
\overline {A \cup B} |
| Intersection of A and B |  |
\[ \begin{cases} \ A \\ \ B \end{cases} \] |
| Union of A and B |  |
\begin{equation} \left[ \begin{aligned} \ A \\ \ B \end{aligned} \right. \end{equation} |
| Union of A and Intersection of B and C |
 |
\begin{equation} \left[ \begin{aligned} \ A \\ \left\{ \begin{aligned} \ B \\ \ C \end{aligned} \right. \end{aligned} \right. |
| Natural |  |
\mathbb{N} |
| Integer |  |
\mathbb{Z} |
| Rational |  |
\mathbb{Q} |
| Real |  |
\mathbb{R} |
| Imaginary |  |
\mathbb{I} |
| Complex |  |
\mathbb{C} |
 |
\sqsubset | |
 |
\sqsubseteq | |
 |
\sqsupset | |
 |
\sqsupseteq |