\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}
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\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{t42\_isomichi (TMPGtSC9gPfBoCxYjTv5jxnSVZHEapvhYYk)}
\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 $ k1\_tops\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_pre\_topc : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v3\_isomichi : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ 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}((r1\_tarski~\\
(k2\_pre\_topc~X0~(k1\_tops\_1~X0~X1))~(k2\_pre\_topc~X0~(k1\_tops\_1~X0~\\
(k2\_pre\_topc~X0~X1)))){\unicdcdcdhd}(r1\_tarski~(k1\_tops\_1~X0~(k2\_pre\_topc~\\
X0~X1))~(k2\_pre\_topc~X0~(k1\_tops\_1~X0~(k2\_pre\_topc~X0~X1))))))\end{array}
\label{hyp:ehcdpfehegmgbgehpfcd}
\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}((r1\_tarski~\\
(k1\_tops\_1~X0~(k2\_pre\_topc~X0~(k1\_tops\_1~X0~X1)))~(k1\_tops\_1~X0~\\
(k2\_pre\_topc~X0~X1))){\unicdcdcdhd}(r1\_tarski~(k1\_tops\_1~X0~(k2\_pre\_topc~X0~\\
(k1\_tops\_1~X0~X1)))~(k2\_pre\_topc~X0~(k1\_tops\_1~X0~X1)))))\end{array}
\label{hyp:ehbdpfehegmgbgehpfcd}
\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){\unicdbdjded}(r1\_tarski~(k1\_tops\_1~X0~(k2\_pre\_topc~X0~X1))~(k2\_pre\_topc~\\
X0~(k1\_tops\_1~X0~X1)))))\end{array}
\label{hyp:eggdpfjgdhpgngjgdgigjg}
\end{equation}
\begin{theorem}\label{thm:ehedcdpfjgdhpgngjgdgigjg}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}(((k1\_tops\_1~\\
X0~(k2\_pre\_topc~X0~X1)=k1\_tops\_1~X0~(k2\_pre\_topc~X0~(k1\_tops\_1~\\
X0~X1))){\unicdcdcdid}(k2\_pre\_topc~X0~(k1\_tops\_1~X0~X1)=k2\_pre\_topc~X0~(k1\_tops\_1~\\
X0~(k2\_pre\_topc~X0~X1)))){\unicdbdjdcd}(v3\_isomichi~X1~X0)))\end{array}$$
\end{theorem}
\end{document}
