\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{t14\_classes1 (TMdGZNZGfq3YPHbxA1iCHJ9ko8NoZE1L3hx)}
\maketitle
Let $ v3\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k3\_classes1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k9\_setfam\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_ordinal1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_classes1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v3\_ordinal1~X0){\unicdbdjdcd}((v4\_ordinal1~X0){\unicdbdjded}({\unicdcdadad} X1 .  (\\
v3\_ordinal1~X1){\unicdbdjdcd}((X1 \in X0){\unicdbdjdcd}(k1\_ordinal1~X1 \in X0))))\end{array}
\label{hyp:ehcdidpfpgchegjgogbgmgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (v3\_ordinal1~X2){\unicdbdjdcd}((v4\_ordinal1~\\
X2){\unicdbdjdcd}((X2=k1\_xboole\_0){\unicdcdcdid}((X1 \in k3\_classes1~X0~X2){\unicdbdjded}({\unicdcdaddd} X3 .  \\
(v3\_ordinal1~X3){\unicdcdcdhd}((X3 \in X2){\unicdcdcdhd}(X1 \in k3\_classes1~X0~X3))))))\end{array}
\label{hyp:ehbdddpfdgmgbgdhdhfgdhbd}
\end{equation}
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}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v3\_ordinal1~X0){\unicdbdjdcd}((\preoh v1\_xboole\_0~(k1\_ordinal1~X0)){\unicdcdcdhd}\\
(v3\_ordinal1~(k1\_ordinal1~X0)))\end{array}
\label{hyp:ggdgcdpfpgchegjgogbgmgbd}
\end{equation}
\begin{theorem}\label{thm:ehbdedpfdgmgbgdhdhfgdhbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  (v3\_ordinal1~X3){\unicdbdjdcd}\\
(((v4\_ordinal1~X3){\unicdcdcdhd}(X0 \in k3\_classes1~X1~X3)){\unicdbdjdcd}((X3=k1\_xboole\_0){\unicdcdcdid}\\
(((\preoh r1\_tarski~X2~X0){\unicdcdcdhd}(X2{\unicdcdgdad}k9\_setfam\_1~X0)){\unicdcdcdid}(X2 \in k3\_classes1~X1~\\
X3))))\end{array}$$
\end{theorem}
\end{document}
