\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{t23\_classes2 (TMajJAvHv13TGnP4Aho3eRvcyDePwNwqiJP)}
\maketitle
Let $ k1\_classes1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_card\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k9\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v2\_classes1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((r1\_tarski~X0~(k1\_classes1~X1)){\unicdcdcdhd}(k1\_card\_1~\\
X0 \in k1\_card\_1~(k1\_classes1~X1))){\unicdbdjdcd}(X0 \in k1\_classes1~X1)\end{array}
\label{hyp:ehgdpfdgmgbgdhdhfgdhbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (X0 \in k1\_classes1~X1){\unicdbdjdcd}(k1\_card\_1~X0 \in k1\_card\_1~\\
(k1\_classes1~X1))\end{array}
\label{hyp:ehcdedpfdgmgbgdhdhfgdhbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_ordinal1}~{X0}})}{\unicdbdjdcd}{({{v1\_ordinal1}~{({{k1\_classes1}~{X0}})}})}}}\label{hyp:ehcdddpfdgmgbgdhdhfgdhbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v2\_classes1~X0){\unicdbdjdcd}(((\preoh (X1 \in X0){\unicdcdcdhd}(v1\_ordinal1~\\
X0)){\unicdcdcdhd}((\preoh (X1 \in X0){\unicdcdcdhd}(r1\_tarski~X1~X0)){\unicdcdcdhd}(\preoh (k1\_card\_1~X1 \in k1\_card\_1~\\
X0){\unicdcdcdhd}(r1\_tarski~X1~X0)))){\unicdcdcdid}(r1\_tarski~(k1\_funct\_2~X1~X0)~X0))\end{array}
\label{hyp:ehcdcdpfdgmgbgdhdhfgdhcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}(k9\_funct\_2~X0~X1=k1\_funct\_2~\\
X0~X1)\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpflgjdpfggfhogdgehpfcd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{v2\_classes1}~{({{k1\_classes1}~{X0}})}}}\label{hyp:ggdgbdpfdgmgbgdhdhfgdhcd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {\preoh{{{v1\_xboole\_0}~{({{k1\_classes1}~{X0}})}}}}}\label{hyp:ggdgbdpfdgmgbgdhdhfgdhbd}
\end{equation}
\begin{theorem}\label{thm:ehcdddpfdgmgbgdhdhfgdhcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (\preoh (\preoh (X0 \in k1\_classes1~X1){\unicdcdcdhd}(v1\_ordinal1~\\
X1)){\unicdcdcdhd}((\preoh (X0 \in k1\_classes1~X1){\unicdcdcdhd}(r1\_tarski~X0~(k1\_classes1~X1))){\unicdcdcdhd}\\
(\preoh (k1\_card\_1~X0 \in k1\_card\_1~(k1\_classes1~X1)){\unicdcdcdhd}(r1\_tarski~X0~(k1\_classes1~\\
X1))))){\unicdbdjdcd}(r1\_tarski~(k9\_funct\_2~X0~(k1\_classes1~X1))~(k1\_classes1~\\
X1))\end{array}$$
\end{theorem}
\end{document}
