\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{t38\_topgen\_5 (TMRqNhui3VJVwDsKr7bASu1UvqCVg2wj26f)}
\maketitle
Let $ v1\_tops\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k7\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k15\_euclid : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ k2\_topgen\_5 : {\iota}$ be given.
Let $ k1\_topgen\_5 : {\iota}$ be given.
Let $ k3\_topgen\_5 : {\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 $ k2\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v3\_pre\_topc : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ 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}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(k1\_zfmisc\_1~(u1\_struct\_0~k3\_topgen\_5))){\unicdbdjdcd}\\
((X0=k7\_subset\_1~(u1\_struct\_0~(k15\_euclid~np\_\_2))~k2\_topgen\_5~\\
k1\_topgen\_5){\unicdbdjdcd}(k2\_pre\_topc~k3\_topgen\_5~X0=k2\_struct\_0~k3\_topgen\_5))\end{array}
\label{hyp:ehddedpfehpgahhgfgogpffd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}(v3\_pre\_topc~(k7\_subset\_1~(u1\_struct\_0~(k15\_euclid~np\_\_2))~k2\_topgen\_5~\\
k1\_topgen\_5)~k3\_topgen\_5){\unicdcdcdhd}(m1\_subset\_1~(k7\_subset\_1~(u1\_struct\_0~\\
(k15\_euclid~np\_\_2))~k2\_topgen\_5~k1\_topgen\_5)~(k1\_zfmisc\_1~(u1\_struct\_0~\\
k3\_topgen\_5)))\end{array}
\label{hyp:ehcdfdpfehpgahhgfgogpffd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}(\preoh v2\_struct\_0~k3\_topgen\_5){\unicdcdcdhd}((v1\_pre\_topc~k3\_topgen\_5){\unicdcdcdhd}((v2\_pre\_topc~\\
k3\_topgen\_5){\unicdcdcdhd}(l1\_pre\_topc~k3\_topgen\_5)))\end{array}
\label{hyp:egehpflgddpfehpgahhgfgogpffd}
\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}((v1\_tops\_1~X1~X0){\unicdbdjded}(k2\_pre\_topc~X0~X1=k2\_struct\_0~\\
X0)))\end{array}
\label{hyp:egddpfehpgahdhpfbd}
\end{equation}
\begin{theorem}\label{thm:ehddidpfehpgahhgfgogpffd}
$$\begin{array}{c}(v1\_tops\_1~(k7\_subset\_1~(u1\_struct\_0~(k15\_euclid~np\_\_2))~k2\_topgen\_5~\\
k1\_topgen\_5)~k3\_topgen\_5){\unicdcdcdhd}(m1\_subset\_1~(k7\_subset\_1~(u1\_struct\_0~\\
(k15\_euclid~np\_\_2))~k2\_topgen\_5~k1\_topgen\_5)~(k1\_zfmisc\_1~(u1\_struct\_0~\\
k3\_topgen\_5)))\end{array}$$
\end{theorem}
\end{document}
