\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{t25\_topdim\_1 (TMd2Ey7LdabVx5n9c55ozyJvc8P9v5e1VSr)}
\maketitle
Let $ v2\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_borsuk\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v3\_topdim\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k4\_topdim\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v2\_pre\_topc~X1){\unicdcdcdhd}(l1\_pre\_topc~X1)){\unicdbdjdcd}((r1\_borsuk\_3~X0~X1){\unicdbdjdcd}((\\
(v3\_topdim\_1~X0){\unicdbdjdcd}(v3\_topdim\_1~X1)){\unicdcdcdhd}(((v3\_topdim\_1~X1){\unicdbdjdcd}(v3\_topdim\_1~\\
X0)){\unicdcdcdhd}((v3\_topdim\_1~X0){\unicdbdjdcd}(k4\_topdim\_1~X1=k4\_topdim\_1~X0))))))\end{array}
\label{hyp:mgddidpfehpgahegjgngpfbd}
\end{equation}
\begin{theorem}\label{thm:ehcdfdpfehpgahegjgngpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v2\_pre\_topc~X1){\unicdcdcdhd}(l1\_pre\_topc~X1)){\unicdbdjdcd}(((r1\_borsuk\_3~X0~X1){\unicdcdcdhd}(\\
v3\_topdim\_1~X0)){\unicdbdjdcd}(k4\_topdim\_1~X0=k4\_topdim\_1~X1)))\end{array}$$
\end{theorem}
\end{document}
