The invention relates to an apparatus for introducing weakening cuts in a film or skin (24) containing a cutting knife (12) and a support (18) arranged in opposition to the cutting knife, wherein the film or skin can be placed between the support and the cutting knife and borne by the support, and the cutting knife is movable relative to the film or skin. In order to ensure a defined residual wall thickness, the invention proposes that the distance between the cutting knife and the support in the direction of the cutting axis (19) can be designed to be kept constant by a device.
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