Equation 18.28.25FFCF7AC9E703

\begin{equation} \begin{aligned} \int _{(X\setminus K)\cup \left\{ P_{\theta ,K}[\varphi ](v)<v\right\} }\theta ^ n_{P_{\theta ,K}[\varphi ](v)}=& 0,\\ \int _{(X\setminus K)\cup \left\{ P_{\theta ,K}[\varphi ]_{\mathcal{I}}(v)<v\right\} }\theta ^ n_{P_{\theta ,K}[\varphi ]_{\mathcal{I}}(v)}=& 0. \end{aligned} \end{equation}