If $L_{1},L_{2}$ are actually special Lagrangians, then the phase angle bounds (31) would be evident from the Floer degree formula (63) applied to the intersection points $L\cap L^{\prime}$. One main feature of the theorem is that we do not need a priori knowledge on the existence of special Lagrangians, and the holomorphic volume form enters the obstruction criterion only through cohomological information.