\documentclass{article}
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\newtheorem{conjecture}{Conjecture}
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\begin{document}
\title{l42\_fomodel0 (TMb7khzqmbjrsyyKfmFSGeijFQBuDtSGmJd)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_fomodel0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_finseq\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k13\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\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 $ v2\_fomodel0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k11\_monoid\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{k3\_finseq\_2}~{X0}}={{k13\_finseq\_1}~{X0}}}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgddpfggjgogdhfgbhpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  \\
((v1\_funct\_1~X3){\unicdcdcdhd}((v1\_funct\_2~X3~(k2\_zfmisc\_1~X0~X0)~X0){\unicdcdcdhd}(m1\_subset\_1~\\
X3~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k2\_zfmisc\_1~X0~X0)~X0))))){\unicdbdjdcd}(((v2\_fomodel0~\\
X1~X0~X3){\unicdcdcdhd}(r1\_tarski~X2~X1)){\unicdbdjdcd}(v2\_fomodel0~X2~X0~X3)))\end{array}
\label{hyp:mgbdjdpfggpgngpgegfgmgad}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {\preoh{{{v1\_xboole\_0}~{({{k13\_finseq\_1}~{X0}})}}}}}\label{hyp:ggdgbdcdpfggjgogdhfgbhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}((v1\_funct\_1~(k11\_monoid\_0~X0)){\unicdcdcdhd}\\
((v1\_funct\_2~(k11\_monoid\_0~X0)~(k2\_zfmisc\_1~(k3\_finseq\_2~X0)~\\
(k3\_finseq\_2~X0))~(k3\_finseq\_2~X0)){\unicdcdcdhd}(m1\_subset\_1~(k11\_monoid\_0~\\
X0)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k2\_zfmisc\_1~(k3\_finseq\_2~X0)~(\\
k3\_finseq\_2~X0))~(k3\_finseq\_2~X0))))))\end{array}
\label{hyp:egehpflgbdbdpfngpgogpgjgegpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v3\_fomodel0~X1~X0){\unicdbdjded}\\
(v2\_fomodel0~X1~(k3\_finseq\_2~X0)~(k11\_monoid\_0~X0)))\end{array}
\label{hyp:egddpfggpgngpgegfgmgad}
\end{equation}
\begin{theorem}\label{thm:mgedcdpfggpgngpgegfgmgad}
$$\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((v3\_fomodel0~\\
X1~X0){\unicdcdcdhd}(r1\_tarski~X2~X1)){\unicdbdjdcd}(v3\_fomodel0~X2~X0))\end{array}$$
\end{theorem}
\end{document}
