The case (4) has a base intended to be fixed or welded to a ring of a molar tooth or premolar, and a body including a non-circular opening for establishment of an orthodontic arch (2). A pivot is intended to cooperate with a fastener of a telescopic rod (6) such that the telescopic rod is rotatably fixed on the case by the pivot, so as to constitute a fixed case-pivot, where tooth fasteners are intended to cooperate with the orthodontic arch and the fixed case-pivot. The body includes an imprint to receive a maintenance tool to maintain a removable case-pivot (5). Independent claims are also included for the following: (1) an orthodontic equipment (2) a kit of tools for the identification and installation of an orthodontic equipment (3) a method for installation of an orthodontic equipment for mandibular propulsion.