Assume further that the Kähler metric on $X$ is Calabi-Yau. Suppose $L$ is an almost calibrated exact Lagrangian brane in $D^{b}Fuk(X)$, with Harder-Narasimhan decomposition (4)

$$0=\mathcal{E}_{0}\to\mathcal{E}_{1}\to\ldots\to\mathcal{E}_{N}=L,$$

fitting into the distinguished triangles

$$\mathcal{E}_{i-1}\to\mathcal{E}_{i}\to L_{i}\to\mathcal{E}_{i-1}[1],$$

such that $L_{i}\in\mathcal{P}(\phi_{i})$ with $\phi_{1}>\ldots>\phi_{N}$. We have $\hat{\theta}_{i}=\pi\phi_{i}=\arg\int_{L_{i}}\Omega$. Then the phase angle inequality (35) and the volume lower bound (36) hold.