Prove exist a measurable function

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If: $X:(\Omega,A) \to (E,\xi)$ is a random variable $Y: (\Omega,\sigma(X)) \to (R,B_R)$ is measurable Then $\exists \rho: (E,\xi) \to (R,B_R)$ measurable so that $\forall w$ $Y(w) = \rho(X(w))$