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How can I do this?

Let X,Y r.v., [tex]\mathbb{E}(X|Y)=Y[/tex] and [tex]\mathbb{E}(Y|X)=X[/tex].

Proove that X=Y a.s.

Let X,Y r.v., [tex]\mathbb{E}(X|Y)=Y[/tex] and [tex]\mathbb{E}(Y|X)=X[/tex].

Proove that X=Y a.s.

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