Let ((X, mathscr{A}, mu)) be a measure space and (F in mathscr{A}). Show that (mathscr{A} i A

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Let \((X, \mathscr{A}, \mu)\) be a measure space and \(F \in \mathscr{A}\). Show that \(\mathscr{A} i A \mapsto \mu(A \cap F)\) defines a measure.

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