![\beta (m + 1 \: n) + \beta (m \: n + 1) = \beta (m \: n) \beta (m + 1 \: n) + \beta (m \: n + 1) = \beta (m \: n)](https://tex.z-dn.net/?f=+%5Cbeta+%28m+%2B+1+%5C%3A+n%29+%2B++%5Cbeta+%28m+%5C%3A+n+%2B+1%29+%3D++%5Cbeta+%28m+%5C%3A+n%29)
Prove the above equation
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