Prove the result in Eq. (15.9) that the \(L_{\mu v}\) defined in Eq. (15.8) are generators of proper Lorentz transformations. Utilize \(\partial^{\alpha} x_{ho}=\eta_{ho}^{\alpha}=\delta_{ho}^{\alpha}\) and the antisymmetry of \(\epsilon_{\mu v}\) under exchange of indices. 

Data from Eq. 15.8

Data from Eq. 15.9

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