\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{t21\_topgen\_2 (TMciw9jMeiUsiTpCG2UtaXL87eYcbPMmue3)}
\maketitle
Let $ v4\_pre\_topc : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k5\_topgen\_2 : {{\iota}{\unicdbdjdcd}{{\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 $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_finset\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ u1\_pre\_topc : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k3\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (X0 \in X1){\unicdbdjdcd}(m1\_subset\_1~(k1\_tarski~X0)~(k1\_zfmisc\_1~\\
X1))\end{array}
\label{hyp:ehedbdpfdhfhcgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (m1\_subset\_1~X2~(k1\_zfmisc\_1~\\
(u1\_struct\_0~(k5\_topgen\_2~X0~X1)))){\unicdbdjdcd}((v4\_pre\_topc~X2~(k5\_topgen\_2~\\
X0~X1)){\unicdbdjded}(\preoh (X1 \in X0){\unicdcdcdhd}((\preoh X1 \in X2){\unicdcdcdhd}(\preoh v1\_finset\_1~X2))))\end{array}
\label{hyp:ehcdadpfehpgahhgfgogpfcd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{v1\_finset\_1}~{({{k1\_tarski}~{X0}})}}}\label{hyp:ggdgbdpfggjgogdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v1\_pre\_topc~(k5\_topgen\_2~X0~X1)){\unicdcdcdhd}(l1\_pre\_topc~\\
(k5\_topgen\_2~X0~X1))\end{array}
\label{hyp:egehpflgfdpfehpgahhgfgogpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((v1\_pre\_topc~X2){\unicdcdcdhd}(l1\_pre\_topc~\\
X2)){\unicdbdjdcd}((X2=k5\_topgen\_2~X0~X1){\unicdbdjded}((u1\_struct\_0~X2=X0){\unicdcdcdhd}(u1\_pre\_topc~\\
X2=k2\_xboole\_0~(ReplSep~(toset~({\uniddcgcg} X3 : \iota .  m1\_subset\_1~X3~(k1\_zfmisc\_1~\\
X0)))~({\uniddcgcg} X3 : \iota .  \preoh X1 \in X3)~({\uniddcgcg} X3 : \iota .  X3))~(ReplSep~(toset~(\\
{\uniddcgcg} X3 : \iota .  m1\_subset\_1~X3~(k1\_zfmisc\_1~X0)))~({\uniddcgcg} X3 : \iota .  v1\_finset\_1~\\
X3)~({\uniddcgcg} X3 : \iota .  k3\_subset\_1~X0~X3)))))\end{array}
\label{hyp:egfdpfehpgahhgfgogpfcd}
\end{equation}
\begin{theorem}\label{thm:ehcdbdpfehpgahhgfgogpfcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (X2 \in X0){\unicdbdjdcd}((v4\_pre\_topc~(k1\_tarski~\\
X2)~(k5\_topgen\_2~X0~X1)){\unicdcdcdhd}(m1\_subset\_1~(k1\_tarski~X2)~(k1\_zfmisc\_1~\\
(u1\_struct\_0~(k5\_topgen\_2~X0~X1)))))\end{array}$$
\end{theorem}
\end{document}
