Abstract: Safety equipment, in the form of an arresting device with triggering equipment for an elevator cage, which runs in rail guides and is for the conveying of persons and/or goods, which safety equipment stops the elevator cage when the permissible speed of travel in upward direction and in downward direction is exceeded, wherein a trigger lever connected the limiter cable is effective in both directions of travel. Known arresting devices are arranged functionally mutually opposite on support brackets and a double arresting device for both directions of travel is formed in this manner. The triggering of the corresponding arresting device separately in direction of travel takes place by way of some new parts which are incorporated between the arresting devices and the known triggering system consisting of speed limiter, limiter cable with tensioning weight and trigger lever.