Shall I start my example with "for example"?

Question

I'm trying to give an example in my research paper. The first variant:

Example 4.6. For example, this expression is true: ...

The second one:

Example 4.6. This expression is true: ...

Which one is preferred?

Answer 1

Since each example is labelled as such and numbered, there’s no need to further prefix the text with For example, and the second form is certainly preferred. That is, avoid obvious redundancies.

Use For example for inline non-numbered examples only.