fastmail-tips
Various tips and settings for Fastmail
Fetching Remote Mail
Go to Settings -> Migration
Below the option to import mail, you have two options: Keep fetching mail from your other inbox, and Set up sending from your other address. Check both of these boxes, then click Do it.
Note that mail is not synced as it would be with a client like Thunderbird. Fastmail fetches the message only. Read, unread, archive, and delete statuses do not carry over to Fastmail, or back to your external account.