\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{t12\_classes1 (TMNqM7SrWfQ3NFjsN5bH3PYdcJXPSZcaDne)}
\maketitle
Let $ v3\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k3\_classes1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k9\_setfam\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_ordinal1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_classes1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (v3\_ordinal1~X2){\unicdbdjdcd}((X0 \in k3\_classes1~\\
X1~(k1\_ordinal1~X2)){\unicdbdjded}(\preoh (\preoh (r1\_tarski~X0~(k3\_classes1~X1~X2)){\unicdcdcdhd}(\\
X0 \in k1\_classes1~X1)){\unicdcdcdhd}({\unicdcdadad} X3 .  \preoh (X3 \in k3\_classes1~X1~X2){\unicdcdcdhd}((r1\_tarski~\\
X0~X3){\unicdcdcdid}(X0=k9\_setfam\_1~X3)))))\end{array}
\label{hyp:ehbdadpfdgmgbgdhdhfgdhbd}
\end{equation}
\begin{theorem}\label{thm:ehbdcdpfdgmgbgdhdhfgdhbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (v3\_ordinal1~X2){\unicdbdjdcd}((X0 \in k3\_classes1~\\
X1~X2){\unicdbdjdcd}(k9\_setfam\_1~X0 \in k3\_classes1~X1~(k1\_ordinal1~X2)))\end{array}$$
\end{theorem}
\end{document}
