A compressed air supply installation for the operation of a pneumatic system includes a compressed air feed, a compressed air connection to a pneumatic unit, a venting connection, a main pneumatic line disposed between the compressed air feed and the compressed air connection, and a first venting line disposed between the compressed air connection and the venting connection, the first venting line including a venting valve including a first venting valve connection, a second venting valve connection, and a control connection pneumatically connected to a control valve by a pneumatic control relay line. The venting valve is closed between the first venting valve connection and the second venting valve connection to the venting connection in a first switching state of the venting valve and is opened between the first venting valve connection and the second venting valve connection to the venting connection in a second switching state.