Expression for an expanded configuration interaction wave function

I am trying to write down an expanded expression for the configuration interaction wave function. We know that the wave function $\Psi$ is a linear combination (LC) of configuration state functions (CSF), each CSF is a LC of Slater determinants, each determinant is an antisymmetrized product of molecular orbitals (MO's), and each MO is a LC of basis functions (BF). Without saying anything about the antisymmetrizer operator $\mathcal{A} $, are the equations below in general correct? What would the expanded wave function $\Psi$ look like? I have trouble putting the expression for the MO's into the expression for the determinants.


\begin{align}
\Psi &= \sum\limits\_{i} c\_i ( \text{csf} )\_i \\
\text{csf} &= \sum\limits\_{j} d\_j ( \text{det} )\_j \\
\text{det} &= \mathcal{A} \prod\limits\_k (\text{mo})\_k \\
\text{mo} &= \sum\limits\_{l} e\_l (\text{bf})\_l \\
\end{align}


