Question: Consider the mapping X defined on ((, A) onto (' = X((), the image of ( under X, and Let C' ( P ((') be

Consider the mapping X defined on ((, A) onto (' = X((), the image of ( under X, and Let C' ( P ((') be defined as follows:
C' = {B ( ('; B = X(A), A ( A}.
Then, by means of an example, show that C' need not be a σ-field.

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