Wiping system with wiping device and squeezing out device

The invention relates to a wiping device, a squeezing out device and a container device enabling a textile wiping element located on a wiping panel of the wiping device to be squeezed out simply and reliably. The wiping panel is provided with edge fixing sections which can be held from behind by a counter bearing device of the squeezing out device in order to prevent the wiping panel from being moved out of the squeezing out device unintentionally when the textile element is squeezed out on a bearing surface, or which have an insertion ramp which facilitates the optionally jamming insertion between the bearing surface and a counter bearing surface that is set apart from said bearing surface.