\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{t20\_classes1 (TMPqotbsFevDcVmzmVMRmYZtgwXWQZHaiuJ)}
\maketitle
Let $ v3\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k3\_classes1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_classes1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_ordinal1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{\preoh{{({{X0} \in {X1}})}}}{\unicdcdcdhd}{({{{r1\_tarski}~{X1}}~{X0}})}}}}\label{hyp:ehfdpfpgchegjgogbgmgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdaddd} X1 .  (v3\_ordinal1~X1){\unicdcdcdhd}(k3\_classes1~X0~X1=k1\_classes1~\\
X0)\end{array}
\label{hyp:ehbdjdpfdgmgbgdhdhfgdhbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 : \iota{\unicdbdjdcd}o .  ({\unicdcdaddd} X1 .  (v3\_ordinal1~X1){\unicdcdcdhd}(X0~X1)){\unicdbdjdcd}(\\
{\unicdcdaddd} X1 .  (v3\_ordinal1~X1){\unicdcdcdhd}((X0~X1){\unicdcdcdhd}({\unicdcdadad} X2 .  (v3\_ordinal1~\\
X2){\unicdbdjdcd}((X0~X2){\unicdbdjdcd}(r1\_ordinal1~X1~X2)))))\end{array}
\label{hyp:dhbdpfpgchegjgogbgmgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((v3\_ordinal1~X0){\unicdcdcdhd}(v3\_ordinal1~X1)){\unicdbdjdcd}(\\
(r1\_ordinal1~X0~X1){\unicdbdjded}(r1\_tarski~X0~X1))\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpfchbdpfpgchegjgogbgmgbd}
\end{equation}
\begin{theorem}\label{thm:ehcdadpfdgmgbgdhdhfgdhbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdaddd} X1 .  (v3\_ordinal1~X1){\unicdcdcdhd}((k3\_classes1~X0~X1=k1\_classes1~\\
X0){\unicdcdcdhd}({\unicdcdadad} X2 .  (v3\_ordinal1~X2){\unicdbdjdcd}(\preoh (X2 \in X1){\unicdcdcdhd}(k3\_classes1~X0~\\
X2=k1\_classes1~X0))))\end{array}$$
\end{theorem}
\end{document}
