\documentclass{article}
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\newtheorem{proposition}{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
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\begin{document}
\title{t30\_intpro\_1 (TMM1mgmukQgV1o71J8j3jjsjAyn4YF84L3W)}
\maketitle
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_intpro\_1 : {\iota}$ be given.
Let $ k3\_intpro\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k8\_intpro\_1 : {\iota}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v8\_intpro\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k4\_intpro\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k5\_intpro\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_intpro\_1 : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((X0 \in X1){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
X2))){\unicdbdjdcd}(m1\_subset\_1~X0~X2)\end{array}
\label{hyp:ehedpfdhfhcgdhfgeh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k1\_intpro\_1){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~k1\_intpro\_1){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~k1\_intpro\_1){\unicdbdjdcd}((\\
k3\_intpro\_1~X0~(k3\_intpro\_1~X1~X2) \in k8\_intpro\_1){\unicdbdjdcd}(k3\_intpro\_1~\\
X1~(k3\_intpro\_1~X0~X2) \in k8\_intpro\_1))))\end{array}
\label{hyp:ehcdddpfjgogehahchpgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k1\_intpro\_1){\unicdbdjdcd}(k3\_intpro\_1~X0~X0 \in k8\_intpro\_1)\end{array}
\label{hyp:ehbdhdpfjgogehahchpgpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{v8\_intpro\_1}~{k8\_intpro\_1}}\label{hyp:ggdgedpfjgogehahchpgpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{{m1\_subset\_1}~{k8\_intpro\_1}}~{({{k1\_zfmisc\_1}~{k1\_intpro\_1}})}}\label{hyp:egehpflgidpfjgogehahchpgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((m1\_subset\_1~X0~k1\_intpro\_1){\unicdcdcdhd}(m1\_subset\_1~\\
X1~k1\_intpro\_1)){\unicdbdjdcd}(m1\_subset\_1~(k3\_intpro\_1~X0~X1)~k1\_intpro\_1)\end{array}
\label{hyp:egehpflgddpfjgogehahchpgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(k1\_zfmisc\_1~k1\_intpro\_1)){\unicdbdjdcd}((v8\_intpro\_1~\\
X0){\unicdbdjded}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~k1\_intpro\_1){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~\\
X2~k1\_intpro\_1){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~k1\_intpro\_1){\unicdbdjdcd}((\\
k3\_intpro\_1~X1~(k3\_intpro\_1~X2~X1) \in X0){\unicdcdcdhd}((k3\_intpro\_1~(k3\_intpro\_1~\\
X1~(k3\_intpro\_1~X2~X3))~(k3\_intpro\_1~(k3\_intpro\_1~X1~X2)~(k3\_intpro\_1~\\
X1~X3)) \in X0){\unicdcdcdhd}((k3\_intpro\_1~(k4\_intpro\_1~X1~X2)~X1 \in X0){\unicdcdcdhd}((k3\_intpro\_1~\\
(k4\_intpro\_1~X1~X2)~X2 \in X0){\unicdcdcdhd}((k3\_intpro\_1~X1~(k3\_intpro\_1~X2~(k4\_intpro\_1~\\
X1~X2)) \in X0){\unicdcdcdhd}((k3\_intpro\_1~X1~(k5\_intpro\_1~X1~X2) \in X0){\unicdcdcdhd}((k3\_intpro\_1~\\
X2~(k5\_intpro\_1~X1~X2) \in X0){\unicdcdcdhd}((k3\_intpro\_1~(k3\_intpro\_1~X1~X3)~(\\
k3\_intpro\_1~(k3\_intpro\_1~X2~X3)~(k3\_intpro\_1~(k5\_intpro\_1~X1~X2)~\\
X3)) \in X0){\unicdcdcdhd}((k3\_intpro\_1~k2\_intpro\_1~X1 \in X0){\unicdcdcdhd}(((X1 \in X0){\unicdcdcdhd}(k3\_intpro\_1~\\
X1~X2 \in X0)){\unicdbdjdcd}(X2 \in X0)))))))))))))))\end{array}
\label{hyp:egbdedpfjgogehahchpgpfbd}
\end{equation}
\begin{theorem}\label{thm:ehddadpfjgogehahchpgpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k1\_intpro\_1){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~k1\_intpro\_1){\unicdbdjdcd}(k3\_intpro\_1~(k3\_intpro\_1~X0~(k3\_intpro\_1~X0~\\
X1))~(k3\_intpro\_1~X0~X1) \in k8\_intpro\_1))\end{array}$$
\end{theorem}
\end{document}
