\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=}
\newcommand\unicdcdcdbg{\cup}
\newcommand\unicdcdbdgd{\setminus}
\newcommand\unicdcdcdjd{\cap}
\newcommand\unicdcdadad{\forall}
\newcommand\unicdbdjdcd{\Rightarrow}
\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
\newcommand\unicdcdcdhd{\land}
\newcommand\uniddcgcg{\lambda}
\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t52\_kurato\_1 (TMRMrigTKwE6s4YAZBo1sqwpiNddvzpn59u)}
\maketitle
Let $ r4\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}}}$ be given.
Let $ k1\_tops\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k3\_topmetr : {\iota}$ be given.
Let $ k6\_kurato\_1 : {\iota}$ be given.
Let $ k2\_pre\_topc : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ r1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ r1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_enumset1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  \\
((r1\_zfmisc\_1~X0~X1~X2){\unicdcdcdhd}((r1\_zfmisc\_1~X3~X4~X5){\unicdcdcdhd}(r1\_subset\_1~(\\
k1\_enumset1~X0~X1~X2)~(k1\_enumset1~X3~X4~X5)))){\unicdbdjdcd}(r4\_zfmisc\_1~X0~\\
X1~X2~X3~X4~X5)\end{array}
\label{hyp:ehgdpfcgpgchdhfhlgpffd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}r1\_subset\_1~(k1\_enumset1~(k1\_tops\_1~k3\_topmetr~k6\_kurato\_1)~\\
(k1\_tops\_1~k3\_topmetr~(k2\_pre\_topc~k3\_topmetr~k6\_kurato\_1))~\\
(k1\_tops\_1~k3\_topmetr~(k2\_pre\_topc~k3\_topmetr~(k1\_tops\_1~k3\_topmetr~\\
k6\_kurato\_1))))~(k1\_enumset1~(k2\_pre\_topc~k3\_topmetr~k6\_kurato\_1)~\\
(k2\_pre\_topc~k3\_topmetr~(k1\_tops\_1~k3\_topmetr~k6\_kurato\_1))~\\
(k2\_pre\_topc~k3\_topmetr~(k1\_tops\_1~k3\_topmetr~(k2\_pre\_topc~k3\_topmetr~\\
k6\_kurato\_1))))\end{array}
\label{hyp:ehfdbdpflgfhchbgehpgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}r1\_zfmisc\_1~(k2\_pre\_topc~k3\_topmetr~k6\_kurato\_1)~(k2\_pre\_topc~\\
k3\_topmetr~(k1\_tops\_1~k3\_topmetr~k6\_kurato\_1))~(k2\_pre\_topc~\\
k3\_topmetr~(k1\_tops\_1~k3\_topmetr~(k2\_pre\_topc~k3\_topmetr~k6\_kurato\_1)))\end{array}
\label{hyp:ehedhdpflgfhchbgehpgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}r1\_zfmisc\_1~(k1\_tops\_1~k3\_topmetr~k6\_kurato\_1)~(k1\_tops\_1~k3\_topmetr~\\
(k2\_pre\_topc~k3\_topmetr~k6\_kurato\_1))~(k1\_tops\_1~k3\_topmetr~\\
(k2\_pre\_topc~k3\_topmetr~(k1\_tops\_1~k3\_topmetr~k6\_kurato\_1)))\end{array}
\label{hyp:ehedgdpflgfhchbgehpgpfbd}
\end{equation}
\begin{theorem}\label{thm:ehfdcdpflgfhchbgehpgpfbd}
$$\begin{array}{c}r4\_zfmisc\_1~(k1\_tops\_1~k3\_topmetr~k6\_kurato\_1)~(k1\_tops\_1~k3\_topmetr~\\
(k2\_pre\_topc~k3\_topmetr~k6\_kurato\_1))~(k1\_tops\_1~k3\_topmetr~\\
(k2\_pre\_topc~k3\_topmetr~(k1\_tops\_1~k3\_topmetr~k6\_kurato\_1)))~\\
(k2\_pre\_topc~k3\_topmetr~k6\_kurato\_1)~(k2\_pre\_topc~k3\_topmetr~\\
(k1\_tops\_1~k3\_topmetr~k6\_kurato\_1))~(k2\_pre\_topc~k3\_topmetr~\\
(k1\_tops\_1~k3\_topmetr~(k2\_pre\_topc~k3\_topmetr~k6\_kurato\_1)))\end{array}$$
\end{theorem}
\end{document}
