\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\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
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\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
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\begin{document}
\title{l11\_xreal\_0 (TMYsEeZLjypxCMDJpZwZpFA6EsC3CHUdHHA)}
\maketitle
Let $ r1\_arytm\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ c1\_\_xreal\_0 : {\iota}$ be given.
Let $ c2\_\_xreal\_0 : {\iota}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_arytm\_2 : {\iota}$ be given.
Let $ k11\_arytm\_3 : {\iota}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k2\_arytm\_2){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~k2\_arytm\_2){\unicdbdjdcd}((X0=k11\_arytm\_3){\unicdbdjdcd}(r1\_arytm\_2~X0~X1)))\end{array}
\label{hyp:ehgdpfbgchjhehngpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{k6\_numbers}={k1\_xboole\_0}}\label{hyp:chfgegfgggjgogjgehjgpgogpflggdpfogfhngcgfgchdh}
\end{equation}
Assume the following.
\begin{equation}
{{k11\_arytm\_3}={k1\_xboole\_0}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgbdbdpfbgchjhehngpfdd}
\end{equation}
Assume the following.
\begin{equation}
{{{m1\_subset\_1}~{c2\_\_xreal\_0}}~{k2\_arytm\_2}}\label{hyp:egehpfdgcdpfpfihchfgbgmgpfad}
\end{equation}
Assume the following.
\begin{equation}
{{{m1\_subset\_1}~{c1\_\_xreal\_0}}~{k2\_arytm\_2}}\label{hyp:egehpfdgbdpfpfihchfgbgmgpfad}
\end{equation}
Assume the following.
\begin{equation}
{{c2\_\_xreal\_0}={np\_\_1}}\label{hyp:egfgpfdgcdpfpfihchfgbgmgpfad}
\end{equation}
Assume the following.
\begin{equation}
{{c1\_\_xreal\_0}={k6\_numbers}}\label{hyp:egfgpfdgbdpfpfihchfgbgmgpfad}
\end{equation}
\begin{theorem}\label{thm:mgbdbdpfihchfgbgmgpfad}
${{{r1\_arytm\_2}~{c1\_\_xreal\_0}}~{c2\_\_xreal\_0}}$.
\end{theorem}
\end{document}
