Let ((X, mathscr{A}, mu)) and ((Y, mathscr{B}, u)) be two (sigma)-finite measure spaces. Show that (A times
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Let \((X, \mathscr{A}, \mu)\) and \((Y, \mathscr{B}, u)\) be two \(\sigma\)-finite measure spaces. Show that \(A \times N\), where \(A \in \mathscr{A}\) and \(N \in \mathscr{B}, u(N)=0\), is a \(\mu \times u\)-null set.
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