\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\_topgen\_5 (TMWo8dmFMmo8M7fJ86KAbZbs7jnQZNgh4L4)}
\maketitle
Let $ v7\_topgen\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k2\_topgen\_3 : {\iota}$ be given.
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
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 $ v1\_tops\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v4\_card\_3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k3\_numbers : {\iota}$ be given.
Let $ k1\_numbers : {\iota}$ be given.
Let $ v1\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~\\
X0))){\unicdbdjdcd}((v7\_topgen\_1~X0){\unicdbdjded}({\unicdcdaddd} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(u1\_struct\_0~X0))){\unicdcdcdhd}((v1\_tops\_1~X1~X0){\unicdcdcdhd}(v4\_card\_3~X1))))\end{array}
\label{hyp:ehgdpfehpgahhgfgogpfed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}(v1\_tops\_1~k3\_numbers~k2\_topgen\_3){\unicdcdcdhd}(m1\_subset\_1~k3\_numbers~\\
(k1\_zfmisc\_1~(u1\_struct\_0~k2\_topgen\_3)))\end{array}
\label{hyp:ehedddpfehpgahhgfgogpffd}
\end{equation}
Assume the following.
\begin{equation}
{{{u1\_struct\_0}~{k2\_topgen\_3}}={k1\_numbers}}\label{hyp:mgbdfdpfehpgahhgfgogpfdd}
\end{equation}
Assume the following.
\begin{equation}
{{v4\_card\_3}~{k3\_numbers}}\label{hyp:ggdgbdpfehpgahhgfgogpfed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}(\preoh v2\_struct\_0~k2\_topgen\_3){\unicdcdcdhd}((v1\_pre\_topc~k2\_topgen\_3){\unicdcdcdhd}((v2\_pre\_topc~\\
k2\_topgen\_3){\unicdcdcdhd}(l1\_pre\_topc~k2\_topgen\_3)))\end{array}
\label{hyp:egehpflgcdpfehpgahhgfgogpfdd}
\end{equation}
\begin{theorem}\label{thm:ehededpfehpgahhgfgogpffd}
${{v7\_topgen\_1}~{k2\_topgen\_3}}$.
\end{theorem}
\end{document}
