Let ((X, mathscr{A})) be a measurable space and let (mathscr{B} varsubsetneqq mathscr{A}) be a sub- (sigma)-algebra. Show
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Let \((X, \mathscr{A})\) be a measurable space and let \(\mathscr{B} \varsubsetneqq \mathscr{A}\) be a sub- \(\sigma\)-algebra. Show that \(\mathcal{M}(\mathscr{B}) \varsubsetneqq \mathcal{M}(\mathscr{A})\).
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