\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{t22\_abcmiz\_1 (TMbK4BPKzQvTKq8KLb6FW25qL2SCqTtuwzj)}
\maketitle
Let $ v1\_finset\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_classes1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_ordinal1 : {\iota}$ be given.
Let $ k1\_card\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k13\_classes2 : {\iota}$ be given.
Let $ v2\_classes1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r2\_wellord2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r2\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v5\_card\_3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_classes1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k9\_setfam\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v4\_card\_3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_finset\_1}~{X0}})}{\unicdbdjded}{({{{k1\_card\_1}~{X0}} \in {k4\_ordinal1}})}}}\label{hyp:ehidedpfdgbgchegpfdd}
\end{equation}
Assume the following.
\begin{equation}
{{k13\_classes2}={{k4\_classes1}~{k4\_ordinal1}}}\label{hyp:ehgdedpfdgmgbgdhdhfgdhcd}
\end{equation}
Assume the following.
\begin{equation}
{{v2\_classes1}~{({{k4\_classes1}~{k4\_ordinal1}})}}\label{hyp:ehgdddpfdgmgbgdhdhfgdhcd}
\end{equation}
Assume the following.
\begin{equation}
{{{k1\_card\_1}~{({{k4\_classes1}~{k4\_ordinal1}})}}={{k1\_card\_1}~{k4\_ordinal1}}}\label{hyp:ehgdcdpfdgmgbgdhdhfgdhcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (r2\_wellord2~X0~X1){\unicdbdjded}(k1\_card\_1~X0=k1\_card\_1~\\
X1)\end{array}
\label{hyp:ehfdpfdgbgchegpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{{k1\_card\_1}~{k4\_ordinal1}}={k4\_ordinal1}}\label{hyp:ehedhdpfdgbgchegpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X0~(k1\_zfmisc\_1~X1)){\unicdbdjded}(r1\_tarski~\\
X0~X1)\end{array}
\label{hyp:ehddpfdhfhcgdhfgeh}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{{r2\_wellord2}~{X0}}~{X1}})}{\unicdbdjded}{({{{r2\_tarski}~{X0}}~{X1}})}}}}\label{hyp:chfgegfgggjgogjgehjgpgogpfchcdpfhhfgmgmgpgchegcd}
\end{equation}
Assume the following.
\begin{equation}
{{v5\_card\_3}~{k4\_ordinal1}}\label{hyp:ggdgbdadpfdgbgchegpfdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v2\_classes1~X0){\unicdbdjded}((v1\_classes1~X0){\unicdcdcdhd}(({\unicdcdadad} X1 .  \\
(X1 \in X0){\unicdbdjdcd}(k9\_setfam\_1~X1 \in X0)){\unicdcdcdhd}({\unicdcdadad} X1 .  \preoh (r1\_tarski~X1~X0){\unicdcdcdhd}\\
((\preoh r2\_tarski~X1~X0){\unicdcdcdhd}(\preoh X1 \in X0)))))\end{array}
\label{hyp:egcdpfdgmgbgdhdhfgdhbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v5\_card\_3}~{X0}})}{\unicdbdjdcd}{({{({\preoh{{{v1\_finset\_1}~{X0}}}})}{\unicdcdcdhd}{({{v4\_card\_3}~{X0}})}})}}}\label{hyp:dgdgedpfdgbgchegpfdd}
\end{equation}
\begin{theorem}\label{thm:ehcdcdpfbgcgdgngjgkhpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_finset\_1~X0){\unicdcdcdhd}(m1\_subset\_1~X0~(k1\_zfmisc\_1~(k4\_classes1~\\
k4\_ordinal1)))){\unicdbdjdcd}(X0 \in k4\_classes1~k4\_ordinal1)\end{array}$$
\end{theorem}
\end{document}
