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I was wondering where I can find a proof to the following theorem:

If F is differentiable at every pt. of [a,b] and if F' is lebesque on [a,b] then

F(x) = int(f,dt,a,x) a<=x<=b.

And the converse.

He gives the theorem are page 324 and a reference in his bibliography. I was wondering where I detailed proof for this theorem.

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# Rudin Reference

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