Monotone class theorem: Difference between revisions

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{{math theorem|name=Monotone class theorem for sets|note=|style=|math_statement=

Let <math>G</math> be an [[Field of sets|algebra of sets]] and define <math>M(G)</math> to be the smallest monotone class containing <math>G.</math> Then <math>M(G)</math> is precisely the [[Sigma-algebra|{{sigma}}-algebra]] generated by <math>G;</math>; that is <math>\sigma(G) = M(G).</math>

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