\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\unicdbdjded{\Leftrightarrow}
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\newcommand\preoh[1]{\lnot #1}
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\begin{document}
\title{l7\_collsp (TMdST3MJAJ8hAcBsdAQYJwVKRthLzJwzakP)}
\maketitle
Let $ m1\_collsp : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_domain\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ c2\_\_collsp : {\iota}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k6\_domain\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}r1\_tarski~(k1\_tarski~(k4\_domain\_1~k5\_numbers~k5\_numbers~k5\_numbers~\\
np\_\_1~np\_\_1~np\_\_1))~(k3\_zfmisc\_1~(k6\_domain\_1~k5\_numbers~np\_\_1)~\\
(k6\_domain\_1~k5\_numbers~np\_\_1)~(k6\_domain\_1~k5\_numbers~np\_\_1))\end{array}
\label{hyp:mgfdpfdgpgmgmgdhah}
\end{equation}
Assume the following.
\begin{equation}
{{c2\_\_collsp}={{{k6\_domain\_1}~{k5\_numbers}}~{np\_\_1}}}\label{hyp:egfgpfdgcdpfpfdgpgmgmgdhah}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_collsp~X1~X0){\unicdbdjded}(r1\_tarski~X1~(k3\_zfmisc\_1~\\
X0~X0~X0))\end{array}
\label{hyp:egbdpfdgpgmgmgdhah}
\end{equation}
\begin{theorem}\label{thm:mghdpfdgpgmgmgdhah}
$$\begin{array}{c}m1\_collsp~(k1\_tarski~(k4\_domain\_1~k5\_numbers~k5\_numbers~k5\_numbers~\\
np\_\_1~np\_\_1~np\_\_1))~c2\_\_collsp\end{array}$$
\end{theorem}
\end{document}
