\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{t75\_tops\_3 (TMMHS6vWYbXwjcutXhZarhmN72DC4K4Mgt9)}
\maketitle
Let $ v2\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_pre\_topc : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ g1\_pre\_topc : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ u1\_pre\_topc : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v4\_pre\_topc : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_pre\_topc~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (l1\_pre\_topc~X1){\unicdbdjdcd}((\\
(u1\_struct\_0~X0=u1\_struct\_0~X1){\unicdcdcdhd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~\\
(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~\\
(k1\_zfmisc\_1~(u1\_struct\_0~X1))){\unicdbdjdcd}((X2=X3){\unicdbdjdcd}((v4\_pre\_topc~X2~X0){\unicdbdjded}\\
(v4\_pre\_topc~X3~X1)))))){\unicdbdjdcd}(g1\_pre\_topc~(u1\_struct\_0~X0)~(u1\_pre\_topc~\\
X0)=g1\_pre\_topc~(u1\_struct\_0~X1)~(u1\_pre\_topc~X1))))\end{array}
\label{hyp:ehhdddpfehpgahdhpfdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_pre\_topc~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(u1\_struct\_0~X0))){\unicdbdjdcd}(((v4\_pre\_topc~X1~X0){\unicdbdjdcd}(k2\_pre\_topc~X0~X1=\\
X1)){\unicdcdcdhd}(((v2\_pre\_topc~X0){\unicdcdcdhd}(k2\_pre\_topc~X0~X1=X1)){\unicdbdjdcd}(v4\_pre\_topc~\\
X1~X0))))\end{array}
\label{hyp:ehcdcdpfahchfgpfehpgahdg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~X0)){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(u1\_struct\_0~X0)))){\unicdbdjdcd}(v4\_pre\_topc~\\
(k2\_pre\_topc~X0~X1)~X0)\end{array}
\label{hyp:ggdgbdpfehpgahdhpfbd}
\end{equation}
\begin{theorem}\label{thm:ehhdfdpfehpgahdhpfdd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v2\_pre\_topc~X1){\unicdcdcdhd}(l1\_pre\_topc~X1)){\unicdbdjdcd}(((u1\_struct\_0~X0=u1\_struct\_0~\\
X1){\unicdcdcdhd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}\\
({\unicdcdadad} X3 .  (m1\_subset\_1~X3~(k1\_zfmisc\_1~(u1\_struct\_0~X1))){\unicdbdjdcd}\\
((X2=X3){\unicdbdjdcd}(k2\_pre\_topc~X0~X2=k2\_pre\_topc~X1~X3))))){\unicdbdjdcd}(g1\_pre\_topc~\\
(u1\_struct\_0~X0)~(u1\_pre\_topc~X0)=g1\_pre\_topc~(u1\_struct\_0~X1)~\\
(u1\_pre\_topc~X1))))\end{array}$$
\end{theorem}
\end{document}
