\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{l3\_topgen\_4 (TMUMgvQxooK2ZDCmMnudbPK7a7ghtWrmAe1)}
\maketitle
Let $ v4\_card\_3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k9\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_numbers : {\iota}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k10\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_card\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_ordinal1 : {\iota}$ be given.
Let $ r1\_ordinal1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Assume the following.
\begin{equation}
{{{k1\_card\_1}~{k3\_numbers}}={k4\_ordinal1}}\label{hyp:ehbdhdpfehpgahhgfgogpfdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (r1\_ordinal1~(k1\_card\_1~X0)~(k1\_card\_1~\\
X1)){\unicdbdjded}({\unicdcdaddd} X2 .  ((v1\_relat\_1~X2){\unicdcdcdhd}(v1\_funct\_1~X2)){\unicdcdcdhd}((k9\_xtuple\_0~\\
X2=X1){\unicdcdcdhd}(r1\_tarski~X0~(k10\_xtuple\_0~X2))))\end{array}
\label{hyp:ehbdcdpfdgbgchegpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v4\_card\_3}~{X0}})}{\unicdbdjded}{({{{r1\_ordinal1}~{({{k1\_card\_1}~{X0}})}}~{k4\_ordinal1}})}}}\label{hyp:egbdedpfdgbgchegpfdd}
\end{equation}
\begin{theorem}\label{thm:mgddpfehpgahhgfgogpfed}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v4\_card\_3~X0){\unicdbdjded}({\unicdcdaddd} X1 .  ((v1\_relat\_1~X1){\unicdcdcdhd}(v1\_funct\_1~\\
X1)){\unicdcdcdhd}((k9\_xtuple\_0~X1=k3\_numbers){\unicdcdcdhd}(r1\_tarski~X0~(k10\_xtuple\_0~\\
X1))))\end{array}$$
\end{theorem}
\end{document}
