the present invention discloses a container cover produced from a plastics film , having a rotating closure which has a rotatable cylindrical cutting device , wherein the latter has a lower rim on which at least one cutting edge section is arranged , and wherein said at least one cutting edge section has at least three teeth which are located on a line extending in an inclined manner in relation to the bag , and wherein the front - most tooth in the direction of rotation comes first into contact with the plastics film during the cutting operation . the cutting device is characterized in that the inclination of the line on which the teeth of each cutting edge section are located is selected such that , in the case of at least approximately maximum deformation of the plastics film before the latter is perforated by the front - most tooth , at least two following teeth of the same cutting edge section are in direct contact with the plastics film .