\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{t3\_classes1 (TMGXCbMYo9byJuSPudxoMdB6oyCwfYzLtQE)}
\maketitle
Let $ k1\_classes1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_classes1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v2\_classes1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_classes1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k9\_setfam\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r2\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (X1=k1\_classes1~X0){\unicdbdjded}((r1\_classes1~X0~X1){\unicdcdcdhd}\\
({\unicdcdadad} X2 .  (r1\_classes1~X0~X2){\unicdbdjdcd}(r1\_tarski~X1~X2)))\end{array}
\label{hyp:egedpfdgmgbgdhdhfgdhbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (r1\_classes1~X0~X1){\unicdbdjded}((X0 \in X1){\unicdcdcdhd}(v2\_classes1~\\
X1))\end{array}
\label{hyp:egddpfdgmgbgdhdhfgdhbd}
\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}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_classes1~X0){\unicdbdjded}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((X1 \in X0){\unicdcdcdhd}\\
(r1\_tarski~X2~X1)){\unicdbdjdcd}(X2 \in X0))\end{array}
\label{hyp:egbdpfdgmgbgdhdhfgdhbd}
\end{equation}
\begin{theorem}\label{thm:ehddpfdgmgbgdhdhfgdhbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((X0 \in k1\_classes1~X1){\unicdcdcdhd}(r1\_tarski~\\
X2~X0)){\unicdbdjdcd}(X2 \in k1\_classes1~X1)\end{array}$$
\end{theorem}
\end{document}