Collection of Cylinder-Set as a semi ring

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This proof should show a collection of cylinder set is a Semi-ring. But for the last point they just showed $B\setminus A$ is either $B$ or $\emptyset$. However $B$ or $\emptyset$ is an element of the semiring itself and according to this proof the collection of cylinder set is even a ring. I cant see the point why it should be a semi ring. Could anyone help?