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

A locking system comprising:

• at least one plate designed to be fixed to a first element;
• a latch including a notch designed to co-operate with an anchor member of a second element, the latch being mounted on the plate to pivot about a pivot pin between firstly a locked position in which the notch is designed to co-operate with the anchor member, and secondly an unlocked position;
• and
• a control member mounted to move on the plate between firstly a locking position in which the control member prevents the latch from pivoting while it is in the locked position so as to lock the first element with the second element, and secondly an unlocking position in which said control member allows the latch to pivot about the pivot pin towards the unlocked position;
• wherein the control member is mounted to move on the plate in a direction that is substantially rectilinear and perpendicular to the pivot pin of the latch and wherein the control member includes a housing in which a finger of the latch is designed to be held captive while said latch is in the locked position, thereby preventing the latch from pivoting about the pivot pin, the finger of the latch being designed to be disengaged from the housing of the control member when the control member is moved towards the unlocking position, and wherein the plate includes a finger which remains received inside the housing made in the control member so as to prevent the control member from pivoting while it is being displaced in the rectilinear direction between the locking and unlocking positions.