\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{t44\_isomichi (TMQcPR7ouL3zkQJrFDWmwc3p2Bx2jasPi9b)}
\maketitle
Let $ v2\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v3\_isomichi : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k4\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k9\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k1\_tops\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_pre\_topc : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(m1\_subset\_1~X2~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}(((v3\_isomichi~\\
X1~X0){\unicdcdcdhd}(v3\_isomichi~X2~X0)){\unicdbdjdcd}((k9\_subset\_1~(u1\_struct\_0~X0)~(k1\_tops\_1~\\
X0~(k2\_pre\_topc~X0~X1))~(k1\_tops\_1~X0~(k2\_pre\_topc~X0~X2))=k1\_tops\_1~\\
X0~(k2\_pre\_topc~X0~(k9\_subset\_1~(u1\_struct\_0~X0)~X1~X2))){\unicdcdcdhd}(k4\_subset\_1~\\
(u1\_struct\_0~X0)~(k2\_pre\_topc~X0~(k1\_tops\_1~X0~X1))~(k2\_pre\_topc~\\
X0~(k1\_tops\_1~X0~X2))=k2\_pre\_topc~X0~(k1\_tops\_1~X0~(k4\_subset\_1~\\
(u1\_struct\_0~X0)~X1~X2)))))))\end{array}
\label{hyp:ehedddpfjgdhpgngjgdgigjg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}(((k1\_tops\_1~\\
X0~(k2\_pre\_topc~X0~X1)=k1\_tops\_1~X0~(k2\_pre\_topc~X0~(k1\_tops\_1~\\
X0~X1))){\unicdcdcdid}(k2\_pre\_topc~X0~(k1\_tops\_1~X0~X1)=k2\_pre\_topc~X0~(k1\_tops\_1~\\
X0~(k2\_pre\_topc~X0~X1)))){\unicdbdjdcd}(v3\_isomichi~X1~X0)))\end{array}
\label{hyp:ehedcdpfjgdhpgngjgdgigjg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}((v3\_isomichi~\\
X1~X0){\unicdbdjdcd}((k1\_tops\_1~X0~(k2\_pre\_topc~X0~X1)=k1\_tops\_1~X0~(k2\_pre\_topc~\\
X0~(k1\_tops\_1~X0~X1))){\unicdcdcdhd}(k2\_pre\_topc~X0~(k1\_tops\_1~X0~X1)=k2\_pre\_topc~\\
X0~(k1\_tops\_1~X0~(k2\_pre\_topc~X0~X1))))))\end{array}
\label{hyp:ehedbdpfjgdhpgngjgdgigjg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(m1\_subset\_1~X2~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}(k2\_pre\_topc~\\
X0~(k1\_tops\_1~X0~(k2\_pre\_topc~X0~(k4\_subset\_1~(u1\_struct\_0~X0)~\\
X1~X2)))=k4\_subset\_1~(u1\_struct\_0~X0)~(k2\_pre\_topc~X0~(k1\_tops\_1~\\
X0~(k2\_pre\_topc~X0~X1)))~(k2\_pre\_topc~X0~(k1\_tops\_1~X0~(k2\_pre\_topc~\\
X0~X2))))))\end{array}
\label{hyp:ehcdpfjgdhpgngjgdgigjg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(m1\_subset\_1~X2~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}(k9\_subset\_1~\\
(u1\_struct\_0~X0)~(k1\_tops\_1~X0~(k2\_pre\_topc~X0~(k1\_tops\_1~X0~X1)))~\\
(k1\_tops\_1~X0~(k2\_pre\_topc~X0~(k1\_tops\_1~X0~X2)))=k1\_tops\_1~X0~\\
(k2\_pre\_topc~X0~(k1\_tops\_1~X0~(k9\_subset\_1~(u1\_struct\_0~X0)~X1~\\
X2))))))\end{array}
\label{hyp:ehbdpfjgdhpgngjgdgigjg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (m1\_subset\_1~X2~(k1\_zfmisc\_1~\\
X0)){\unicdbdjdcd}(m1\_subset\_1~(k9\_subset\_1~X0~X1~X2)~(k1\_zfmisc\_1~X0))\end{array}
\label{hyp:egehpflgjdpfdhfhcgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
X0)){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~X0))){\unicdbdjdcd}(m1\_subset\_1~(k4\_subset\_1~\\
X0~X1~X2)~(k1\_zfmisc\_1~X0))\end{array}
\label{hyp:egehpflgedpfdhfhcgdhfgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehededpfjgdhpgngjgdgigjg}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(m1\_subset\_1~X2~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}(((v3\_isomichi~\\
X1~X0){\unicdcdcdhd}(v3\_isomichi~X2~X0)){\unicdbdjdcd}((v3\_isomichi~(k4\_subset\_1~(u1\_struct\_0~\\
X0)~X1~X2)~X0){\unicdcdcdhd}(v3\_isomichi~(k9\_subset\_1~(u1\_struct\_0~X0)~X1~X2)~\\
X0)))))\end{array}$$
\end{theorem}
\end{document}
