\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{t5\_urysohn2 (TMRXfYBZ5mbC7yHLJVpoiPU72QYn6LhzmfN)}
\maketitle
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k7\_numbers : {\iota}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_supinf\_1 : {\iota}$ be given.
Let $ k1\_numbers : {\iota}$ be given.
Let $ k1\_supinf\_1 : {\iota}$ be given.
Let $ k2\_xxreal\_0 : {\iota}$ be given.
Let $ k1\_xxreal\_0 : {\iota}$ be given.
Let $ v1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
{{k2\_supinf\_1}={k2\_xxreal\_0}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgcdpfdhfhahjgogggpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{k1\_supinf\_1}={k1\_xxreal\_0}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgbdpfdhfhahjgogggpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_xxreal\_0~X0){\unicdbdjdcd}(\preoh (\preoh X0 \in k1\_numbers){\unicdcdcdhd}((X0{\unicdcdgdad}k1\_xxreal\_0){\unicdcdcdhd}\\
(X0{\unicdcdgdad}k2\_xxreal\_0)))\end{array}
\label{hyp:mgcdcdpfihihchfgbgmgpfad}
\end{equation}
Assume the following.
\begin{equation}
{{k1\_xxreal\_0}={k1\_numbers}}\label{hyp:egcdpfihihchfgbgmgpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_xxreal\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v1\_xxreal\_0~X1){\unicdbdjdcd}((\\
((X0 \in k1\_numbers){\unicdcdcdhd}(X1 \in k1\_numbers)){\unicdbdjdcd}((r1\_xxreal\_0~X0~X1){\unicdbdjded}({\unicdcdaddd} X2 .  \\
(m1\_subset\_1~X2~k1\_numbers){\unicdcdcdhd}({\unicdcdaddd} X3 .  (m1\_subset\_1~X3~k1\_numbers){\unicdcdcdhd}\\
((X2=X0){\unicdcdcdhd}((X3=X1){\unicdcdcdhd}(r1\_xxreal\_0~X2~X3))))))){\unicdcdcdhd}((\preoh (X0 \in k1\_numbers){\unicdcdcdhd}\\
(X1 \in k1\_numbers)){\unicdbdjdcd}((r1\_xxreal\_0~X0~X1){\unicdbdjded}((X0=k2\_xxreal\_0){\unicdcdcdid}(\\
X1=k1\_xxreal\_0))))))\end{array}
\label{hyp:egbdpfihihchfgbgmgpfdd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{{m1\_subset\_1}~{X0}}~{k7\_numbers}})}{\unicdbdjdcd}{({{v1\_xxreal\_0}~{X0}})}}}\label{hyp:dgdgbdpfihihchfgbgmgpfad}
\end{equation}
\begin{theorem}\label{thm:ehfdpffhchjhdhpgigogcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~k7\_numbers){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~k7\_numbers){\unicdbdjdcd}(\preoh (r1\_xxreal\_0~X0~X1){\unicdcdcdhd}((\preoh (X0=k2\_supinf\_1){\unicdcdcdhd}(\\
X1=k2\_supinf\_1)){\unicdcdcdhd}((\preoh (X0=k2\_supinf\_1){\unicdcdcdhd}(X1 \in k1\_numbers)){\unicdcdcdhd}(\\
(\preoh (X0=k2\_supinf\_1){\unicdcdcdhd}(X1=k1\_supinf\_1)){\unicdcdcdhd}((\preoh (X0 \in k1\_numbers){\unicdcdcdhd}\\
(X1 \in k1\_numbers)){\unicdcdcdhd}((\preoh (X0 \in k1\_numbers){\unicdcdcdhd}(X1=k1\_supinf\_1)){\unicdcdcdhd}(\\
\preoh (X0=k1\_supinf\_1){\unicdcdcdhd}(X1=k1\_supinf\_1)))))))))\end{array}$$
\end{theorem}
\end{document}
