# Colimits and epimorphisms.

I am working on a project, and I need to know the proof of this:

Any functor which preserves all colimits preserves epimorphisms.

So could you please tell me how or where I can find the proof for this corollary? Thank you very much.

This follows from the following fact. $e : X \to Y$ is an epimorphism if and only if