A bag with a flexible wall which delimits a closed chamber of the bag for a store of a substance, for example a liquid, gaseous, pasty or pulverulent substance, for example a bag with a wall made from single-layer or multilayer (plastic) sheet material.
A female element with a body through which a bore extends is attached to the inner side of the wall, which bore extends from an insertion opening for a male element, which is covered in a sealed manner by the wall of the bag, in the vicinity of the wall of the bag, to an opening in the chamber of the bag.
At a distance from the insertion opening, the bore is also closed off by a closure element, in such a manner that a male element can puncture that part of the wall of the bag which covers the insertion opening from the outside, so that the male element then enters the bore in the female element and—as the male element is inserted further into the bore—then interacts with the closure element and eliminates the closure of the bore which is produced by the closure element.