Valve for a system for applying a covering product, including projecting or recessed shapes on a peripheral part, configured to cooperate with projecting or recessed shapes of a dedicated mounting and dismounting tool, these projecting or recessed shapes of the valve being configured to transmit a rotational movement to the valve, and to be secured to the tool. The projecting or hollow shapes of the valve include a first peripheral profile having at least one planar surface, and a second peripheral profile located behind the first profile relative to an outer end of the valve. The second profile has at least one first planar surface aligned with the planar surface of the first profile, and at least one second planar surface angularly offset relative to the planar surface of the first profile, such that the second planar surface of the second profile forms a shoulder relative to the first profile.