\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\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
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\begin{document}
\title{t1\_matrixr2 (TMNisM44QVuegdm3rSDexKbrycDaJqqcemQ)}
\maketitle
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_numbers : {\iota}$ be given.
Let $ k3\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_rvsum\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k5\_euclid : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k6\_rvsum\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k8\_rvsum\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m2\_finseq\_1~X0~k1\_numbers){\unicdbdjdcd}(k8\_rvsum\_1~(k5\_euclid~\\
(k3\_finseq\_1~X0))~X0=k6\_rvsum\_1~X0)\end{array}
\label{hyp:ehgdpfngbgehchjgihchbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m2\_finseq\_1~X0~k1\_numbers){\unicdbdjdcd}((k4\_rvsum\_1~X0~(k6\_rvsum\_1~\\
X0)=k5\_euclid~(k3\_finseq\_1~X0)){\unicdcdcdhd}(k8\_rvsum\_1~X0~X0=k5\_euclid~\\
(k3\_finseq\_1~X0)))\end{array}
\label{hyp:ehddpfngbgehchjgihchbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m2\_finseq\_1~X0~k1\_numbers){\unicdbdjdcd}({\unicdcdadad} X1 .  (m2\_finseq\_1~\\
X1~k1\_numbers){\unicdbdjdcd}((k3\_finseq\_1~X0=k3\_finseq\_1~X1){\unicdbdjdcd}(X0=k8\_rvsum\_1~\\
(k4\_rvsum\_1~X0~X1)~X1)))\end{array}
\label{hyp:ehbdedpfngbgehchjgihchbd}
\end{equation}
\begin{theorem}\label{thm:ehbdpfngbgehchjgihchcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m2\_finseq\_1~X0~k1\_numbers){\unicdbdjdcd}({\unicdcdadad} X1 .  (m2\_finseq\_1~\\
X1~k1\_numbers){\unicdbdjdcd}(((k3\_finseq\_1~X0=k3\_finseq\_1~X1){\unicdcdcdhd}(k4\_rvsum\_1~\\
X0~X1=k5\_euclid~(k3\_finseq\_1~X0))){\unicdbdjdcd}((X0=k6\_rvsum\_1~X1){\unicdcdcdhd}(X1=\\
k6\_rvsum\_1~X0))))\end{array}$$
\end{theorem}
\end{document}
