Atelier Toshi

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Q:

What is wrong in this proof?

I need to prove that the function $h$ that satisfies $h(z)=\frac{h(z)+h(z+1)}{2}$ for $z$ real, is constant. If I use that $h(z+1)=h(z)$, the problem appears. I can't "express" $f(z+1)-f(z)$ by means of a 6add127376 maidpar
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