Let $L_{0}$ be an exact, quantiatively almost calibrated, unobstructed Lagrangian object in $\mathcal{L}$. Assuming Thomas-Yau semistability for $L_{0}$, then the following (equivalent) statements hold:

1. 1.

   There is a special Lagrangian representative in $\mathcal{L}$.

2. 2.

   There is no distinguished triangle in $\mathcal{L}$ satisfying the destabilizing condition.

3. 3.

   The Solomon functional is bounded from below on $\mathcal{L}$.

4. 4.

   The Solomon functional has a minimizer in $\mathcal{L}$.