Proposition 2.7 . [0332]

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Proposition 2.7.

Let $\psi,\psi_{j}\in PSH(X,\omega)\cap L^{\infty}(X)$ such that $(\psi_{j})$ decreases to $\psi$ . Then for each $\delta>0$ ,

Cap_{\omega}(\{\psi_{j}>\psi+\delta\})\rightarrow 0.