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Please help me prove the following about Borel measurable functions Fix a point ac E RR and define for each Borel set I C TR}

Please help me prove the following about Borel measurable functions

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Fix a point ac E RR and define for each Borel set I C TR} | 1 if* E E 10 if * * E a ) Prove that Ox is a measure . b ) Prove ( from definitions ) that for every Borel measurable function f : R -* 10 , too) . f dox = f ( 20 )

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