A vector space of bounded functions containing constants and indicators of a generating pi-system, and closed under uniformly bounded monotone pointwise limits, contains all bounded functions measurable for the generated sigma-algebra. This function version extends identities established on elementary integrands to every bounded measurable integrand.

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  1. Monotone class theorem
  2. Monotone class
  3. Measure theory
  4. Real analysis
  5. Analysis
  6. Area of mathematics
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