\documentclass{article}
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\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}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t41\_normform (TMJLReu8rsfBwnQEjgiMekQYR3qCL6rvUTg)}
\maketitle
Let $ m2\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k5\_finsub\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k7\_normform : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_normform : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ be given.
Let $ k9\_normform : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_finsub\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m2\_subset\_1~X1~(k2\_zfmisc\_1~(k5\_finsub\_1~\\
X0)~(k5\_finsub\_1~X0))~(k7\_normform~X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~\\
X2~(k5\_finsub\_1~(k7\_normform~X0))){\unicdbdjdcd}(((X1 \in X2){\unicdcdcdhd}({\unicdcdadad} X3 .  (m2\_subset\_1~\\
X3~(k2\_zfmisc\_1~(k5\_finsub\_1~X0)~(k5\_finsub\_1~X0))~(k7\_normform~\\
X0)){\unicdbdjdcd}(((X3 \in X2){\unicdcdcdhd}(r1\_normform~(k5\_finsub\_1~X0)~(k5\_finsub\_1~X0)~\\
X3~X1)){\unicdbdjdcd}(X3=X1)))){\unicdbdjdcd}(X1 \in k9\_normform~X0~X2)))\end{array}
\label{hyp:ehddjdpfogpgchngggpgchng}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v4\_finsub\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}(v4\_finsub\_1~X1)){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~\\
X2~(k2\_zfmisc\_1~X0~X1)){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~(k2\_zfmisc\_1~\\
X0~X1)){\unicdbdjdcd}({\unicdcdadad} X4 .  (m1\_subset\_1~X4~(k2\_zfmisc\_1~X0~X1)){\unicdbdjdcd}(((r1\_normform~\\
X0~X1~X2~X3){\unicdcdcdhd}(r1\_normform~X0~X1~X3~X4)){\unicdbdjdcd}(r1\_normform~X0~X1~X2~X4))))))\end{array}
\label{hyp:ehcdpfogpgchngggpgchng}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v4\_finsub\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}(v4\_finsub\_1~X1)){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~\\
X2~(k2\_zfmisc\_1~X0~X1)){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~(k2\_zfmisc\_1~\\
X0~X1)){\unicdbdjdcd}(((r1\_normform~X0~X1~X2~X3){\unicdcdcdhd}(r1\_normform~X0~X1~X3~X2)){\unicdbdjdcd}(\\
X2=X3)))))\end{array}
\label{hyp:ehbdpfogpgchngggpgchng}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 : \iota{\unicdbdjdcd}\iota{\unicdbdjdcd}o .  {\unicdcdadad} X2 .  (({\unicdcdadad} X3 .  \\
(m1\_subset\_1~X3~X2){\unicdbdjdcd}(X1~X3~X3)){\unicdcdcdhd}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~X2){\unicdbdjdcd}\\
({\unicdcdadad} X4 .  (m1\_subset\_1~X4~X2){\unicdbdjdcd}({\unicdcdadad} X5 .  (m1\_subset\_1~X5~X2){\unicdbdjdcd}\\
(((X1~X3~X4){\unicdcdcdhd}(X1~X4~X5)){\unicdbdjdcd}(X1~X3~X5)))))){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_subset\_1~\\
X3~X2){\unicdbdjdcd}(\preoh (X3 \in X0){\unicdcdcdhd}({\unicdcdadad} X4 .  (m1\_subset\_1~X4~X2){\unicdbdjdcd}(\preoh (X4 \in X0){\unicdcdcdhd}\\
((X1~X4~X3){\unicdcdcdhd}({\unicdcdadad} X5 .  (m1\_subset\_1~X5~X2){\unicdbdjdcd}(((X5 \in X0){\unicdcdcdhd}(X1~X5~X4)){\unicdbdjdcd}\\
(X1~X4~X5))))))))\end{array}
\label{hyp:dhcdddpfggchbgfgoglgfgmg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  (((\preoh v1\_xboole\_0~\\
X0){\unicdcdcdhd}(v4\_finsub\_1~X0)){\unicdcdcdhd}(((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}(v4\_finsub\_1~X1)){\unicdcdcdhd}\\
((m1\_subset\_1~X2~(k2\_zfmisc\_1~X0~X1)){\unicdcdcdhd}(m1\_subset\_1~X3~(k2\_zfmisc\_1~\\
X0~X1))))){\unicdbdjdcd}(r1\_normform~X0~X1~X2~X2)\end{array}
\label{hyp:chfgggmgfgihjgghjgehjhpfchbdpfogpgchngggpgchng}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~X0)))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m2\_subset\_1~\\
X2~X0~X1){\unicdbdjded}(m1\_subset\_1~X2~X1))\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpfngcdpfdhfhcgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {\preoh{{{v1\_xboole\_0}~{({{k7\_normform}~{X0}})}}}}}\label{hyp:ggdgcdpfogpgchngggpgchng}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~(k5\_finsub\_1~X0)){\unicdcdcdhd}(v4\_finsub\_1~(k5\_finsub\_1~\\
X0))\end{array}
\label{hyp:ggdgcdpfggjgogdhfhcgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~X0)))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m2\_subset\_1~\\
X2~X0~X1){\unicdbdjdcd}(m1\_subset\_1~X2~X0))\end{array}
\label{hyp:egehpfngcdpfdhfhcgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  m1\_subset\_1~(k7\_normform~X0)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(k5\_finsub\_1~X0)~(k5\_finsub\_1~X0)))\end{array}
\label{hyp:egehpflghdpfogpgchngggpgchng}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
X0)){\unicdbdjdcd}(v1\_xboole\_0~X1))\end{array}
\label{hyp:dgdgbdpfdhfhcgdhfgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehedbdpfogpgchngggpgchng}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m2\_subset\_1~X1~(k2\_zfmisc\_1~(k5\_finsub\_1~\\
X0)~(k5\_finsub\_1~X0))~(k7\_normform~X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~\\
X2~(k5\_finsub\_1~(k7\_normform~X0))){\unicdbdjdcd}(\preoh (X1 \in X2){\unicdcdcdhd}({\unicdcdadad} X3 .  (m2\_subset\_1~\\
X3~(k2\_zfmisc\_1~(k5\_finsub\_1~X0)~(k5\_finsub\_1~X0))~(k7\_normform~\\
X0)){\unicdbdjdcd}(\preoh (r1\_normform~(k5\_finsub\_1~X0)~(k5\_finsub\_1~X0)~X3~X1){\unicdcdcdhd}\\
(X3 \in k9\_normform~X0~X2)))))\end{array}$$
\end{theorem}
\end{document}
