diff --git a/Paper.tex b/Paper.tex
index 489a68c3..3e97d9b5 100644
--- a/Paper.tex
+++ b/Paper.tex
@@ -783,23 +783,26 @@ \section{Contract Creation}\label{ch:create}\hypertarget{endow}{}
 If such an exception does not occur, then the remaining gas is refunded to the originator and the now-altered state is allowed to persist. Thus formally, we may specify the resultant state, gas, accrued substate and status code as $(\boldsymbol{\sigma}', g', A, z)$ where:
 
 \begin{align}
-\quad g' &\equiv \begin{cases}
+\quad g' \equiv & \begin{cases}
 0 & \text{if} \quad F \\
 g^{**} - c & \text{otherwise} \\
 \end{cases} \\
-\quad \boldsymbol{\sigma}' &\equiv  \begin{cases}
+\quad \boldsymbol{\sigma}' \equiv & \begin{cases}
 \boldsymbol{\sigma} & \text{if} \quad F \\
 \boldsymbol{\sigma}^{**} \quad \text{except:} & \\
 \quad\boldsymbol{\sigma}'[a] = \varnothing & \text{if} \quad \mathtt{DEAD}(\boldsymbol{\sigma}^{**}, a) \\
 \boldsymbol{\sigma}^{**} \quad \text{except:} & \\
 \quad\boldsymbol{\sigma}'[a]_{\mathrm{c}} = \texttt{KEC}(\mathbf{o}) & \text{otherwise}
 \end{cases} \\
-\quad z &\equiv \begin{cases}
+\quad z \equiv & \begin{cases}
 0 & \text{if} \quad \boldsymbol{\sigma}^{**} = \varnothing \lor g^{**} < c \\
 1 & \text{otherwise}
 \end{cases} \\
 \nonumber \text{where} \\
-F &\equiv \big((\boldsymbol{\sigma}^{**} = \varnothing \ \wedge\ \mathbf{o} = \varnothing) \vee\  g^{**} < c \ \vee\  \lVert \mathbf{o} \rVert > 24576\big)
+F \equiv  & \big( \boldsymbol{\sigma}[a] \neq \varnothing \ \wedge\ \big(\boldsymbol{\sigma}[a]_c \neq \texttt{\small KEC}\big(()\big) \vee \boldsymbol{\sigma}[a]_n \neq 0 \big) \big) \quad \vee \\
+\nonumber &(\boldsymbol{\sigma}^{**} = \varnothing \ \wedge\ \mathbf{o} = \varnothing) \quad \vee \\
+\nonumber &g^{**} < c \quad \vee \\
+\nonumber &\lVert \mathbf{o} \rVert > 24576
 \end{align}
 
 The exception in the determination of $\boldsymbol{\sigma}'$ dictates that $\mathbf{o}$, the resultant byte sequence from the execution of the initialisation code, specifies the final body code for the newly-created account.