\documentclass{article}
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\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}
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\newcommand\unicdcdidid{\not\subseteq}
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\begin{document}
\title{t36\_cqc\_the1 (TMUGAGFkgLcLqzoUwwF5x4xo5cNRkQNuY2A)}
\maketitle
Let $ m1\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_cqc\_lang : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m2\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k9\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_cqc\_the1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_cqc\_the1 : {\iota}$ be given.
Let $ r2\_cqc\_the1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k3\_cqc\_the1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_qc\_lang1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k3\_cqc\_lang~X0))){\unicdbdjdcd}(ReplSep~(toset~({\uniddcgcg} X2 : \iota .  m2\_subset\_1~\\
X2~(k9\_qc\_lang1~X0)~(k3\_cqc\_lang~X0)))~({\uniddcgcg} X2 : \iota .  {\unicdcdaddd} X3 .  \\
(m2\_finseq\_1~X3~(k2\_zfmisc\_1~(k3\_cqc\_lang~X0)~k2\_cqc\_the1)){\unicdcdcdhd}\\
((r2\_cqc\_the1~X0~X1~X3){\unicdcdcdhd}(k3\_cqc\_the1~X0~X3=X2)))~({\uniddcgcg} X2 : \iota .  \\
X2)=k1\_cqc\_the1~X0~X1))\end{array}
\label{hyp:ehddfdpfdgbhdgpfehigfgbd}
\end{equation}
\begin{theorem}\label{thm:ehddgdpfdgbhdgpfehigfgbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m1\_qc\_lang1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k3\_cqc\_lang~X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m2\_subset\_1~X2~(k9\_qc\_lang1~\\
X0)~(k3\_cqc\_lang~X0)){\unicdbdjdcd}((X2 \in k1\_cqc\_the1~X0~X1){\unicdbdjded}({\unicdcdaddd} X3 .  (m2\_finseq\_1~\\
X3~(k2\_zfmisc\_1~(k3\_cqc\_lang~X0)~k2\_cqc\_the1)){\unicdcdcdhd}((r2\_cqc\_the1~\\
X0~X1~X3){\unicdcdcdhd}(k3\_cqc\_the1~X0~X3=X2))))))\end{array}$$
\end{theorem}
\end{document}
