System for locking a first element with a second element, and a seat fitted with such a locking system

A system for locking a first element with a second element, the system including a control member fitted on the first element and suitable for being actuated by a user in a direction that is substantially rectilinear and perpendicular to a pivot pin of a latch designed to co-operate with an anchor member fixed on the second element. The control member further includes a housing for receiving a finger of the latch while the latch is in the locked position so as to prevent the latch from pivoting about the pivot pin.