\documentclass{article}
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\newtheorem{lemma}{Lemma}
\newtheorem{proposition}{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\begin{document}
\title{l19\_topgen\_3 (TMHuS5inREcp7nX2HkF9k8H3EB8zBRwZbMd)}
\maketitle
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ c1\_\_topgen\_3 : {\iota}$ be given.
Let $ u1\_pre\_topc : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_topgen\_3 : {\iota}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_cantor\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_numbers : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~(k1\_zfmisc\_1~\\
X0))){\unicdbdjdcd}(r1\_tarski~X1~(k1\_cantor\_1~X0~X1))\end{array}
\label{hyp:ehbdpfdgbgogehpgchpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{{u1\_pre\_topc}~{k2\_topgen\_3}}={{{k1\_cantor\_1}~{k1\_numbers}}~{c1\_\_topgen\_3}}}\label{hyp:mgbdhdpfehpgahhgfgogpfdd}
\end{equation}
Assume the following.
\begin{equation}
{{{m1\_subset\_1}~{c1\_\_topgen\_3}}~{({{k1\_zfmisc\_1}~{({{k1\_zfmisc\_1}~{k1\_numbers}})}})}}\label{hyp:egehpfdgbdpfpfehpgahhgfgogpfdd}
\end{equation}
\begin{theorem}\label{thm:mgbdjdpfehpgahhgfgogpfdd}
${{{r1\_tarski}~{c1\_\_topgen\_3}}~{({{u1\_pre\_topc}~{k2\_topgen\_3}})}}$.
\end{theorem}
\end{document}
