Those allegations were however rubbished by the Mobilier National, an institution under the culture ministry that is in charge of furnishings in state buildings.
News of the cafe slap was first released by RTL broadcaster, triggering a tweet from Trierweiler saying "A single word #stopboorishness", with no other comment.
A judicial source told AFP the complaint was filed on grounds of violent behaviour.
Under French proceedings that means the plaintiff will have to see a doctor to get a medical certificate stating how long he was unfit to work.
If the inquiry finds the alleged violence did not render him unfit to work for at least eight days, the complaint might lead to a fine by a police tribunal.