\documentclass{article}
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\newtheorem{theorem}{Theorem}
\newtheorem{lemma}{Lemma}
\newtheorem{proposition}{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\newcommand\unicdbdjded{\Leftrightarrow}
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\newcommand\preoh[1]{\lnot #1}
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\begin{document}
\title{l5\_fomodel2 (TMZWnQQ3ZEecFwJNGdsgtDyvMAtBDyvUFCV)}
\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 $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m3\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k37\_fomodel1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k9\_xtuple\_0 : {{\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 $ v10\_fomodel1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_fomodel1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m2\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ be given.
Let $ m1\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ be given.
Let $ k9\_fomodel1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k6\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ u2\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u3\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v9\_fomodel1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_funct\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X0~(k1\_zfmisc\_1~X1)){\unicdbdjded}(r1\_tarski~\\
X0~X1)\end{array}
\label{hyp:ehddpfdhfhcgdhfgeh}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{X0} \in {X1}})}{\unicdbdjdcd}{({{{m1\_subset\_1}~{X0}}~{X1}})}}}}\label{hyp:ehbdpfdhfhcgdhfgeh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (((\preoh v6\_struct\_0~X0){\unicdcdcdhd}((v11\_fomodel1~\\
X0){\unicdcdcdhd}(l1\_fomodel1~X0))){\unicdcdcdhd}((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}((v10\_fomodel1~X2~\\
X0){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_fomodel1~X0))))){\unicdbdjdcd}({\unicdcdadad} X3 .  (m2\_fomodel2~\\
X3~X0~X1~X2){\unicdbdjded}(m1\_fomodel2~X3~X0~X1~X2))\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpfngcdpfggpgngpgegfgmgcd}
\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}(k37\_fomodel1~X0=k9\_fomodel1~X0)\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpflgddhdpfggpgngpgegfgmgbd}
\end{equation}
Assume the following.
\begin{equation}
{{v1\_xboole\_0}~{k1\_xboole\_0}}\label{hyp:ggdgbdpfihcgpgpgmgfgpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v6\_struct\_0~X0){\unicdcdcdhd}((v11\_fomodel1~X0){\unicdcdcdhd}\\
(l1\_fomodel1~X0))){\unicdcdcdhd}(\preoh v1\_xboole\_0~X1)){\unicdbdjdcd}({\unicdcdadad} X2 .  (m3\_fomodel2~\\
X2~X0~X1){\unicdbdjdcd}((v1\_relat\_1~X2){\unicdcdcdhd}(v1\_funct\_1~X2)))\end{array}
\label{hyp:egehpfngddpfggpgngpgegfgmgcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  m1\_subset\_1~(k6\_subset\_1~X0~X1)~(k1\_zfmisc\_1~\\
X0)\end{array}
\label{hyp:egehpflggdpfdhfhcgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_fomodel1~X0){\unicdbdjdcd}(k9\_fomodel1~X0=k6\_subset\_1~(u1\_struct\_0~\\
X0)~(k2\_tarski~(u2\_struct\_0~X0)~(u3\_struct\_0~X0)))\end{array}
\label{hyp:egjdpfggpgngpgegfgmgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (r1\_tarski~X0~X1){\unicdbdjded}({\unicdcdadad} X2 .  (X2 \in X0){\unicdbdjdcd}\\
(X2 \in X1))\end{array}
\label{hyp:egddpfehbgchdhlgjg}
\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 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_relat\_1~\\
X2){\unicdcdcdhd}(v1\_funct\_1~X2)){\unicdbdjdcd}((m3\_fomodel2~X2~X0~X1){\unicdbdjded}({\unicdcdadad} X3 .  ((v9\_fomodel1~\\
X3~X0){\unicdcdcdhd}(m1\_subset\_1~X3~(k1\_fomodel1~X0))){\unicdbdjdcd}(m2\_fomodel2~(k1\_funct\_1~\\
X2~X3)~X0~X1~X3)))))\end{array}
\label{hyp:egddpfggpgngpgegfgmgcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_relat\_1~X0){\unicdcdcdhd}(v1\_funct\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  \\
((X1 \in k9\_xtuple\_0~X0){\unicdbdjdcd}((X2=k1\_funct\_1~X0~X1){\unicdbdjded}(k4\_tarski~X1~X2 \in \\
X0))){\unicdcdcdhd}((\preoh X1 \in k9\_xtuple\_0~X0){\unicdbdjdcd}((X2=k1\_funct\_1~X0~X1){\unicdbdjded}(X2=k1\_xboole\_0))))\end{array}
\label{hyp:egcdpfggfhogdgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{l1\_fomodel1}~{X0}})}{\unicdbdjdcd}{({{{k1\_fomodel1}~{X0}}={{u1\_struct\_0}~{X0}}})}}}\label{hyp:egbdpfggpgngpgegfgmgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_fomodel1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_fomodel1~\\
X0)){\unicdbdjdcd}((v9\_fomodel1~X1~X0){\unicdbdjded}(X1 \in k9\_fomodel1~X0)))\end{array}
\label{hyp:egbdjdpfggpgngpgegfgmgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (((\preoh v6\_struct\_0~X0){\unicdcdcdhd}((v11\_fomodel1~\\
X0){\unicdcdcdhd}(l1\_fomodel1~X0))){\unicdcdcdhd}((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}((v9\_fomodel1~X2~\\
X0){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_fomodel1~X0))))){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_fomodel2~\\
X3~X0~X1~X2){\unicdbdjdcd}(\preoh v1\_xboole\_0~X3))\end{array}
\label{hyp:dgdgedpfggpgngpgegfgmgcd}
\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\_fomodel1~X0)){\unicdbdjdcd}((v9\_fomodel1~\\
X1~X0){\unicdbdjdcd}(v10\_fomodel1~X1~X0)))\end{array}
\label{hyp:dgdgcdpfggpgngpgegfgmgbd}
\end{equation}
\begin{theorem}\label{thm:mgfdpfggpgngpgegfgmgcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v6\_struct\_0~X0){\unicdcdcdhd}((v11\_fomodel1~X0){\unicdcdcdhd}(l1\_fomodel1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  (m3\_fomodel2~\\
X2~X0~X1){\unicdbdjdcd}(r1\_tarski~(k37\_fomodel1~X0)~(k9\_xtuple\_0~X2))))\end{array}$$
\end{theorem}
\end{document}
