I am new to Latex and am giving it a try on a homework assignment. My professor's notes (which are written in Latex) include a formula that looks like this:

[![enter image description here](https://i.stack.imgur.com/moMtb.png)](https://i.stack.imgur.com/moMtb.png)

When I try and recreate this formula using Latex, my version looks like this:

[![enter image description here](https://i.stack.imgur.com/d7L6R.png)](https://i.stack.imgur.com/d7L6R.png)

There are a few differences between these two renderings, but the one that is bothering me most is that my professor's pipe character (`|`) has a comfortable amount of horizontal white space on either side; my pipe has very little space surrounding it.

How can I make my pipe character look like my professor's? Is he using a different character than I am?

Here is the code I am using:

```
\[
  E_1 =  \big\{ \langle 5, j \rangle \big| j \in \{1, \cdots, n \} - \{ 5 \} \big\}
\]

```