\documentclass{article}
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\newtheorem{proposition}{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\newcommand\unicdcdadjd{\notin}
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\newcommand\preoh[1]{\lnot #1}
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\begin{document}
\title{l138\_fomodel4 (TMMAEy7oTrRV5hLErNDyiG5gwZ7eebxLPeT)}
\maketitle
Let $ v6\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v11\_fomodel1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_fomodel1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m2\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k3\_finseq\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k15\_fomodel1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k6\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k9\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k9\_setfam\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_fomodel4 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v6\_fomodel4 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k23\_fomodel4 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k33\_fomodel4 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v8\_fomodel4 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ be given.
Let $ v14\_fomodel4 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k2\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_domain\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k38\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k30\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k31\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_fomodel2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{k9\_setfam\_1}~{X0}}={{k1\_zfmisc\_1}~{X0}}}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgjdpfdhfgehggbgngpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v6\_struct\_0~X1){\unicdcdcdhd}((v11\_fomodel1~X1){\unicdcdcdhd}\\
(l1\_fomodel1~X1))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v4\_fomodel2~X2~X1){\unicdcdcdhd}(m2\_subset\_1~\\
X2~(k3\_finseq\_2~(k15\_fomodel1~X1))~(k6\_subset\_1~(k3\_finseq\_2~\\
(k15\_fomodel1~X1))~(k1\_tarski~k1\_xboole\_0)))){\unicdbdjdcd}({\unicdcdadad} X3 .  (\\
m1\_subset\_1~X3~(k1\_zfmisc\_1~(k9\_funct\_2~(k9\_setfam\_1~(k1\_fomodel4~\\
X1))~(k9\_setfam\_1~(k1\_fomodel4~X1))))){\unicdbdjdcd}(((v6\_fomodel4~X3~X1){\unicdcdcdhd}\\
((k23\_fomodel4~X1 \in X3){\unicdcdcdhd}((k33\_fomodel4~X1 \in X3){\unicdcdcdhd}(v14\_fomodel4~\\
(k2\_xboole\_0~X0~(k6\_domain\_1~(k6\_subset\_1~(k3\_finseq\_2~(k15\_fomodel1~\\
X1))~(k1\_tarski~k1\_xboole\_0))~X2))~X1~X3)))){\unicdbdjdcd}(v8\_fomodel4~(k38\_fomodel2~\\
X1~X2)~X1~X3~X0))))\end{array}
\label{hyp:mgbdddfdpfggpgngpgegfgmged}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v6\_struct\_0~X0){\unicdcdcdhd}((v11\_fomodel1~X0){\unicdcdcdhd}(l1\_fomodel1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~(k9\_funct\_2~(\\
k9\_setfam\_1~(k1\_fomodel4~X0))~(k9\_setfam\_1~(k1\_fomodel4~X0))))){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  (v14\_fomodel4~X2~X0~X1){\unicdbdjded}({\unicdcdaddd} X3 .  ((v4\_fomodel2~\\
X3~X0){\unicdcdcdhd}(m2\_subset\_1~X3~(k3\_finseq\_2~(k15\_fomodel1~X0))~(k6\_subset\_1~\\
(k3\_finseq\_2~(k15\_fomodel1~X0))~(k1\_tarski~k1\_xboole\_0)))){\unicdcdcdhd}\\
({\unicdcdaddd} X4 .  ((v4\_fomodel2~X4~X0){\unicdcdcdhd}(m2\_subset\_1~X4~(k3\_finseq\_2~\\
(k15\_fomodel1~X0))~(k6\_subset\_1~(k3\_finseq\_2~(k15\_fomodel1~X0))~\\
(k1\_tarski~k1\_xboole\_0)))){\unicdcdcdhd}((v8\_fomodel4~X3~X0~X1~X2){\unicdcdcdhd}(v8\_fomodel4~\\
(k30\_fomodel2~X0~(k30\_fomodel2~X0~(k31\_fomodel2~X0~(k1\_fomodel2~\\
X0))~X3)~X4)~X0~X1~X2))))))\end{array}
\label{hyp:eggdfdpfggpgngpgegfgmged}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v6\_struct\_0~X0){\unicdcdcdhd}((v11\_fomodel1~X0){\unicdcdcdhd}(l1\_fomodel1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m2\_subset\_1~X1~(k3\_finseq\_2~(k15\_fomodel1~\\
X0))~(k6\_subset\_1~(k3\_finseq\_2~(k15\_fomodel1~X0))~(k1\_tarski~\\
k1\_xboole\_0))){\unicdbdjdcd}(k38\_fomodel2~X0~X1=k30\_fomodel2~X0~(k30\_fomodel2~\\
X0~(k31\_fomodel2~X0~(k1\_fomodel2~X0))~X1)~X1))\end{array}
\label{hyp:egddddpfggpgngpgegfgmgcd}
\end{equation}
\begin{theorem}\label{thm:mgbdddidpfggpgngpgegfgmged}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v6\_struct\_0~X1){\unicdcdcdhd}((v11\_fomodel1~X1){\unicdcdcdhd}\\
(l1\_fomodel1~X1))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v4\_fomodel2~X2~X1){\unicdcdcdhd}(m2\_subset\_1~\\
X2~(k3\_finseq\_2~(k15\_fomodel1~X1))~(k6\_subset\_1~(k3\_finseq\_2~\\
(k15\_fomodel1~X1))~(k1\_tarski~k1\_xboole\_0)))){\unicdbdjdcd}({\unicdcdadad} X3 .  (\\
m1\_subset\_1~X3~(k1\_zfmisc\_1~(k9\_funct\_2~(k9\_setfam\_1~(k1\_fomodel4~\\
X1))~(k9\_setfam\_1~(k1\_fomodel4~X1))))){\unicdbdjdcd}(\preoh (v6\_fomodel4~X3~X1){\unicdcdcdhd}\\
((k23\_fomodel4~X1 \in X3){\unicdcdcdhd}((k33\_fomodel4~X1 \in X3){\unicdcdcdhd}((v8\_fomodel4~\\
X2~X1~X3~X0){\unicdcdcdhd}((\preoh v14\_fomodel4~X0~X1~X3){\unicdcdcdhd}(v14\_fomodel4~(k2\_xboole\_0~\\
X0~(k6\_domain\_1~(k6\_subset\_1~(k3\_finseq\_2~(k15\_fomodel1~X1))~\\
(k1\_tarski~k1\_xboole\_0))~X2))~X1~X3))))))))\end{array}$$
\end{theorem}
\end{document}
