\documentclass{article}
\newtheorem{axiom}{Axiom}
\newtheorem{theorem}{Theorem}
\newtheorem{lemma}{Lemma}
\newtheorem{proposition}{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
\newcommand\unicdcdcdbg{\cup}
\newcommand\unicdcdbdgd{\setminus}
\newcommand\unicdcdcdjd{\cap}
\newcommand\unicdcdadad{\forall}
\newcommand\unicdbdjdcd{\Rightarrow}
\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
\newcommand\unicdcdcdhd{\land}
\newcommand\uniddcgcg{\lambda}
\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t39\_fsm\_3 (TMS74HG5WCZnTFDxLq1BcpexTjNVxTtjyPm)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l2\_fsm\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k4\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k3\_catalan2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k9\_flang\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_flang\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_flang\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v4\_fsm\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k6\_fsm\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k4\_fsm\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k8\_afinsq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v3\_fsm\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}\\
(l2\_fsm\_3~X1~X0~(k4\_subset\_1~(k3\_catalan2~X0)~(k9\_flang\_1~X0)~(\\
k4\_flang\_1~X0~(k2\_flang\_1~X0))))){\unicdbdjdcd}(k6\_fsm\_3~X0~(k4\_subset\_1~(\\
k3\_catalan2~X0)~(k9\_flang\_1~X0)~(k4\_flang\_1~X0~(k2\_flang\_1~X0)))~\\
X1=k6\_fsm\_3~X0~(k9\_flang\_1~X0)~(k4\_fsm\_3~X0~(k4\_subset\_1~(k3\_catalan2~\\
X0)~(k9\_flang\_1~X0)~(k4\_flang\_1~X0~(k2\_flang\_1~X0)))~X1)))\end{array}
\label{hyp:ehddidpfggdhngpfdd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{k3\_catalan2}~{X0}}={{k8\_afinsq\_1}~{X0}}}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgddpfdgbgehbgmgbgogcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((m1\_subset\_1~\\
X1~(k1\_zfmisc\_1~(k8\_afinsq\_1~X0))){\unicdcdcdhd}((\preoh v2\_struct\_0~X2){\unicdcdcdhd}(l2\_fsm\_3~\\
X2~X0~X1)))){\unicdbdjdcd}((\preoh v2\_struct\_0~(k4\_fsm\_3~X0~X1~X2)){\unicdcdcdhd}((v3\_fsm\_3~(k4\_fsm\_3~\\
X0~X1~X2)~X0~(k9\_flang\_1~X0)){\unicdcdcdhd}(v4\_fsm\_3~(k4\_fsm\_3~X0~X1~X2)~X0~(k9\_flang\_1~\\
X0))))\end{array}
\label{hyp:ggdgjdpfggdhngpfdd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{m1\_subset\_1}~{({{k9\_flang\_1}~{X0}})}}~{({{k1\_zfmisc\_1}~{({{k3\_catalan2}~{X0}})}})}}}\label{hyp:egehpflgjdpfggmgbgoghgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
X0)){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~X0))){\unicdbdjdcd}(m1\_subset\_1~(k4\_subset\_1~\\
X0~X1~X2)~(k1\_zfmisc\_1~X0))\end{array}
\label{hyp:egehpflgedpfdhfhcgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((m1\_subset\_1~\\
X1~(k1\_zfmisc\_1~(k8\_afinsq\_1~X0))){\unicdcdcdhd}((\preoh v2\_struct\_0~X2){\unicdcdcdhd}(l2\_fsm\_3~\\
X2~X0~X1)))){\unicdbdjdcd}((v3\_fsm\_3~(k4\_fsm\_3~X0~X1~X2)~X0~(k9\_flang\_1~X0)){\unicdcdcdhd}\\
(l2\_fsm\_3~(k4\_fsm\_3~X0~X1~X2)~X0~(k9\_flang\_1~X0)))\end{array}
\label{hyp:egehpflgedpfggdhngpfdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k3\_catalan2~X0)){\unicdbdjdcd}(m1\_subset\_1~\\
(k4\_flang\_1~X0~X1)~(k1\_zfmisc\_1~(k3\_catalan2~X0)))\end{array}
\label{hyp:egehpflgedpfggmgbgoghgpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{m1\_subset\_1}~{({{k2\_flang\_1}~{X0}})}}~{({{k3\_catalan2}~{X0}})}}}\label{hyp:egehpflgcdpfggmgbgoghgpfbd}
\end{equation}
\begin{theorem}\label{thm:ehddjdpfggdhngpfdd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}\\
(l2\_fsm\_3~X1~X0~(k4\_subset\_1~(k3\_catalan2~X0)~(k9\_flang\_1~X0)~(\\
k4\_flang\_1~X0~(k2\_flang\_1~X0))))){\unicdbdjdcd}({\unicdcdaddd} X2 .  ((\preoh v2\_struct\_0~\\
X2){\unicdcdcdhd}((v4\_fsm\_3~X2~X0~(k9\_flang\_1~X0)){\unicdcdcdhd}(l2\_fsm\_3~X2~X0~(k9\_flang\_1~\\
X0)))){\unicdcdcdhd}(k6\_fsm\_3~X0~(k4\_subset\_1~(k3\_catalan2~X0)~(k9\_flang\_1~\\
X0)~(k4\_flang\_1~X0~(k2\_flang\_1~X0)))~X1=k6\_fsm\_3~X0~(k9\_flang\_1~\\
X0)~X2)))\end{array}$$
\end{theorem}
\end{document}
