Question: Let : RR be a simple function defined by n aXA, where A = {xR: y(x) = a}. i=1 Prove that is measurable if

Let : RR be a simple function defined by n aXA, where

Let : RR be a simple function defined by n aXA, where A = {xR: y(x) = a}. i=1 Prove that is measurable if and only if all the A; 's are measurable.

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