\documentclass{article}
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\newcommand\unicdcdgdad{\not=}
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\begin{document}
\title{t52\_armstrng (TMMNwXbc3WfWS4d4Ft2DEX1P8BaJ58nt4im)}
\maketitle
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k9\_setfam\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v3\_armstrng : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v8\_relat\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_armstrng : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v5\_armstrng : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v7\_armstrng : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{k9\_setfam\_1}~{X0}}={{k1\_zfmisc\_1}~{X0}}}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgjdpfdhfgehggbgngpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(k9\_setfam\_1~X0)~(k9\_setfam\_1~X0)))){\unicdbdjdcd}(((v8\_relat\_2~X1){\unicdcdcdhd}(v7\_armstrng~\\
X1~X0)){\unicdbdjdcd}((v3\_armstrng~X1~X0){\unicdcdcdhd}(v4\_armstrng~X1~X0)))\end{array}
\label{hyp:dgdggdpfbgchngdhehchoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(k9\_setfam\_1~X0)~(k9\_setfam\_1~X0)))){\unicdbdjdcd}(((v3\_armstrng~X1~X0){\unicdcdcdhd}(\\
v4\_armstrng~X1~X0)){\unicdbdjdcd}(v7\_armstrng~X1~X0))\end{array}
\label{hyp:dgdgfdpfbgchngdhehchoghg}
\end{equation}
\begin{theorem}\label{thm:ehfdcdpfbgchngdhehchoghg}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(k9\_setfam\_1~X0)~(k9\_setfam\_1~X0)))){\unicdbdjdcd}((((v3\_armstrng~X1~X0){\unicdcdcdhd}\\
((v8\_relat\_2~X1){\unicdcdcdhd}((v4\_armstrng~X1~X0){\unicdcdcdhd}(v5\_armstrng~X1~X0)))){\unicdbdjdcd}\\
((v8\_relat\_2~X1){\unicdcdcdhd}((v7\_armstrng~X1~X0){\unicdcdcdhd}(v5\_armstrng~X1~X0)))){\unicdcdcdhd}\\
(((v8\_relat\_2~X1){\unicdcdcdhd}((v7\_armstrng~X1~X0){\unicdcdcdhd}(v5\_armstrng~X1~X0))){\unicdbdjdcd}\\
((v3\_armstrng~X1~X0){\unicdcdcdhd}((v8\_relat\_2~X1){\unicdcdcdhd}((v4\_armstrng~X1~X0){\unicdcdcdhd}(\\
v5\_armstrng~X1~X0))))))\end{array}$$
\end{theorem}
\end{document}
