\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{t47\_classes2 (TMPGusSJPCTBQDE7AvsrLmpjptHgn4QTXRm)}
\maketitle
Let $ v1\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_classes2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_classes1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v2\_classes1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
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}
{{\unicdcdadad} X0 .  {{v2\_classes1}~{({{k1\_classes1}~{X0}})}}}\label{hyp:ggdgbdpfdgmgbgdhdhfgdhcd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{({{v1\_ordinal1}~{X0}})}{\unicdcdcdhd}{({{v2\_classes1}~{X0}})}})}{\unicdbdjdcd}{({{v1\_classes2}~{X0}})}}}\label{hyp:dgdgddpfdgmgbgdhdhfgdhcd}
\end{equation}
\begin{theorem}\label{thm:ehedhdpfdgmgbgdhdhfgdhcd}
${{\unicdcdadad} X0 .  {{({{v1\_ordinal1}~{X0}})}{\unicdbdjdcd}{({{v1\_classes2}~{({{k1\_classes1}~{X0}})}})}}}$.
\end{theorem}
\end{document}
