I got that email right after submitting my secondary. But then about 2 months later, I got an email that said:
We are happy to inform you that your application to the Albert Einstein College of Medicine is complete, and will be reviewed by the Admissions Committee.
If you have applied to the combined M.D./Ph.D. Program, you will be contacted directly by that Office. Please keep in mind that the deadline for completion of the M.D./Ph.D. application for the 2016 entering class is December 1.
If your application is favorably reviewed during a preliminary screening, you will be invited for an interview via email. We would appreciate your not calling the office to ascertain the disposition of your folder.
We thank you again for your interest in the Albert Einstein College of Medicine, and wish you much success.
I understanding is that the email you mentioned is just a "your secondary is complete" email, not a "your file is complete email."