Quantum algorithm for order finding

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I am trying to understand the quantum algorithm for order finding, but I can't find the proof anywhere. Can anyone help? Thanks in advance

\frac{1}{√r} Ʃ^{r-1}_{s=0} e^{2πisk/r} |μ_{s}> = |x^{k} mod N>
 
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I accidentally submitted thread before completion please disregard for now

-fixed
 
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