\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{t54\_topgen\_1 (TMTZNHHvqKSyNc9qBi3125k4K87MU7YFKkq)}
\maketitle
Let $ v2\_tops\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_borsuk\_5 : {\iota}$ be given.
Let $ k3\_topmetr : {\iota}$ 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 $ v1\_tops\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_numbers : {\iota}$ be given.
Let $ k3\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v2\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}(v1\_tops\_1~k3\_numbers~k3\_topmetr){\unicdcdcdhd}(m1\_subset\_1~k3\_numbers~(\\
k1\_zfmisc\_1~(u1\_struct\_0~k3\_topmetr)))\end{array}
\label{hyp:ehfdbdpfehpgahhgfgogpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(k1\_zfmisc\_1~(u1\_struct\_0~k3\_topmetr))){\unicdbdjdcd}\\
((X0=k1\_borsuk\_5){\unicdbdjdcd}(k3\_subset\_1~(u1\_struct\_0~k3\_topmetr)~X0=\\
k3\_numbers))\end{array}
\label{hyp:ehedidpfehpgahhgfgogpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{{m1\_subset\_1}~{k1\_borsuk\_5}}~{({{k1\_zfmisc\_1}~{({{u1\_struct\_0}~{k3\_topmetr}})}})}}\label{hyp:mggdidpfehpgahhgfgogpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{({{v2\_pre\_topc}~{k3\_topmetr}})}{\unicdcdcdhd}{({{l1\_pre\_topc}~{k3\_topmetr}})}}\label{hyp:egehpflgddpfehpgahngfgehch}
\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}((v2\_tops\_1~X1~X0){\unicdbdjded}(v1\_tops\_1~(k3\_subset\_1~\\
(u1\_struct\_0~X0)~X1)~X0)))\end{array}
\label{hyp:egedpfehpgahdhpfbd}
\end{equation}
\begin{theorem}\label{thm:ehfdedpfehpgahhgfgogpfbd}
$$\begin{array}{c}(v2\_tops\_1~k1\_borsuk\_5~k3\_topmetr){\unicdcdcdhd}(m1\_subset\_1~k1\_borsuk\_5~\\
(k1\_zfmisc\_1~(u1\_struct\_0~k3\_topmetr)))\end{array}$$
\end{theorem}
\end{document}
