\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=}
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\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
\newcommand\unicdcdcdhd{\land}
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\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
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\begin{document}
\title{l130\_modelc\_2 (TMc7rjDW8ywJttdKtiX2rgSbN2jRwKaRTJn)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ 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 $ k30\_modelc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k25\_modelc\_2 : {{\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 $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_funct\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k30\_modelc\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ r2\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 : \iota{\unicdbdjdcd}\iota .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((v1\_funct\_1~X2){\unicdcdcdhd}(\\
(v1\_funct\_2~X2~X1~X1){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
X1~X1))))){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v1\_funct\_1~X3){\unicdcdcdhd}((v1\_funct\_2~X3~X1~X1){\unicdcdcdhd}\\
(m1\_subset\_1~X3~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X1~X1))))){\unicdbdjdcd}((({\unicdcdadad} X4 .  \\
(X4 \in X1){\unicdbdjdcd}(k1\_funct\_1~X2~X4=X0~X4)){\unicdcdcdhd}({\unicdcdadad} X4 .  (X4 \in X1){\unicdbdjdcd}(k1\_funct\_1~\\
X3~X4=X0~X4))){\unicdbdjdcd}(r2\_funct\_2~X1~X1~X2~X3)))\end{array}
\label{hyp:dhfdpfngpgegfgmgdgpfbd}
\end{equation}
\begin{theorem}\label{thm:mgbdddadpfngpgegfgmgdgpfcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_funct\_1~X1){\unicdcdcdhd}(\\
(v1\_funct\_2~X1~(k30\_modelc\_1~(k25\_modelc\_2~X0))~(k30\_modelc\_1~\\
(k25\_modelc\_2~X0))){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(k30\_modelc\_1~(k25\_modelc\_2~X0))~(k30\_modelc\_1~(k25\_modelc\_2~\\
X0))))))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_funct\_1~X2){\unicdcdcdhd}((v1\_funct\_2~X2~(k30\_modelc\_1~\\
(k25\_modelc\_2~X0))~(k30\_modelc\_1~(k25\_modelc\_2~X0))){\unicdcdcdhd}(m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k30\_modelc\_1~(k25\_modelc\_2~X0))~\\
(k30\_modelc\_1~(k25\_modelc\_2~X0))))))){\unicdbdjdcd}((({\unicdcdadad} X3 .  (X3 \in k30\_modelc\_1~\\
(k25\_modelc\_2~X0)){\unicdbdjdcd}(k1\_funct\_1~X1~X3=k30\_modelc\_2~X0~X3)){\unicdcdcdhd}({\unicdcdadad} X3 .  \\
(X3 \in k30\_modelc\_1~(k25\_modelc\_2~X0)){\unicdbdjdcd}(k1\_funct\_1~X2~X3=k30\_modelc\_2~\\
X0~X3))){\unicdbdjdcd}(r2\_funct\_2~(k30\_modelc\_1~(k25\_modelc\_2~X0))~(k30\_modelc\_1~\\
(k25\_modelc\_2~X0))~X1~X2))))\end{array}$$
\end{theorem}
\end{document}
