diff --git a/Manuscript/G2-srDFT.tex b/Manuscript/G2-srDFT.tex
index c3573a4..1268d60 100644
--- a/Manuscript/G2-srDFT.tex
+++ b/Manuscript/G2-srDFT.tex
@@ -278,7 +278,7 @@ We refer the interested reader to Ref.~\onlinecite{GinPraFerAssSavTou-JCP-18} fo
 %\subsection{Correcting the basis set error of a general WFT model}
 %=================================================================
 Let us assume we have both the energy $\E{\modX}{\Bas}$ and density $\n{\modY}{\Bas}$ of a $\Nel$-electron system described by two methods $\modX$ and $\modY$ (potentially identical) in an incomplete basis set $\Bas$. 
-According to Eq.~(15) of Ref.~\onlinecite{GinPraFerAssSavTou-JCP-18}, assuming that $\E{\modX}{\Bas}$ and $\n{\modY}{\Bas}$ are reasonable approximations of the \textit{exact} ground state energy  $\E{}{}$ and density $\n{}{}$, respectively, one may write
+According to Eq.~(15) of Ref.~\onlinecite{GinPraFerAssSavTou-JCP-18}, assuming that $\E{\modX}{\Bas}$ and $\n{\modY}{\Bas}$ {\color{red} are reasonable approximations of the FCI energy and density within $\Bas$ } \sout{\textit{exact} ground state energy }, the exact ground state energy $\E{}{}$ \sout{and density $\n{}{}$, respectively, one may write} may be written as
 \begin{equation}
 	\label{eq:e0basis}
 	\E{}{} 
@@ -304,8 +304,8 @@ An important aspect of such theory is that, in the limit of a complete basis set
         \lim_{\Bas \to \infty} \qty( \E{\modX}{\Bas} + \bE{}{\Bas}[\n{\modY}{\Bas}] ) = \E{\modX}{} \approx E,
 \end{equation}
 where $\E{\modX}{}$ is the energy associated with the method $\modX$ in the complete basis set.
-In the case $\modX = \FCI$, we have as strict equality as $\E{\FCI}{} = E$.
-Provided that the functional $\bE{}{\Bas}[\n{}{}]$ is known exactly, the only source of error at this stage lies in the potential approximate nature of the methods $\modX$ and $\modY$.
+In the case $\modX = \FCI$, we have as strict equality as $E_{\FCI}^\infty = E$.
+Provided that the functional $\bE{}{\Bas}[\n{}{}]$ is known exactly, the only source of error at this stage lies in the potential approximate nature of the methods $\modX$ and $\modY$ {\color{red} not clear to my eyes ... I think that one should say in what sence these are approximations in terms of the density and energy}.
 
 %Here we propose to generalize such approach to a general WFT model, referred here as $\model$, projected in a basis set $\Bas$ which must provides a density $\denmodel$ and an energy $\emodel$. 
 %As any wave function model is necessary an approximation to the FCI model, one can write