Theorem 4.7 . [00AG]

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Theorem 4.7.

( $C^{0}_{loc}$ -convergence estimate on the potential) Given $0<\tau,\kappa\ll 1$ , then for sufficiently small $t$ , on each $U_{J,t,\tau}$ there is a $C^{0}$ -bound

0\leq\phi_{CY,J,t}-\phi_{0}\circ\text{Log}_{\mathcal{X}}<\kappa.