\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{t40\_zfrefle1 (TMNFxRNqLxXW9AmZ9NWDfiTtg2osv3rDFAD)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_classes2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k4\_ordinal1 : {\iota}$ be given.
Let $ v3\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r2\_ordinal2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k4\_classes1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_zf\_model : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r2\_zfrefle1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{\preoh{{({{X0} \in {X1}})}}}{\unicdcdcdhd}{({{v1\_xboole\_0}~{X1}})}}}}\label{hyp:ehhdpfcgpgpgmgfg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v1\_classes2~X0)){\unicdbdjdcd}((k4\_ordinal1 \in \\
X0){\unicdbdjdcd}(v1\_zf\_model~X0))\end{array}
\label{hyp:ehgdpfkhggpfchfgggmgfg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v1\_classes2~X0)){\unicdbdjdcd}(\preoh (k4\_ordinal1 \in \\
X0){\unicdcdcdhd}({\unicdcdadad} X1 .  ((v3\_ordinal1~X1){\unicdcdcdhd}(m1\_subset\_1~X1~X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(\preoh v1\_xboole\_0~X2){\unicdbdjdcd}(\preoh (r2\_ordinal2~X1~k4\_ordinal1){\unicdcdcdhd}((X2=k4\_classes1~\\
X1){\unicdcdcdhd}(r2\_zfrefle1~X2~X0))))))\end{array}
\label{hyp:ehddjdpfkhggchfgggmgfgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}\\
(((v1\_zf\_model~X0){\unicdcdcdhd}((r2\_zfrefle1~X0~X1){\unicdcdcdhd}(v1\_ordinal1~X1))){\unicdbdjdcd}\\
(v1\_zf\_model~X1)))\end{array}
\label{hyp:ehbdadpfkhggchfgggmgfgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(\preoh v1\_xboole\_0~X1)){\unicdbdjdcd}\\
((r2\_zfrefle1~X0~X1){\unicdbdjdcd}(r2\_zfrefle1~X1~X0))\end{array}
\label{hyp:dhjhngngfgehchjhpfchcdpfkhggchfgggmgfgbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v3\_ordinal1}~{X0}})}{\unicdbdjdcd}{({{v1\_ordinal1}~{({{k4\_classes1}~{X0}})}})}}}\label{hyp:ggdgcdpfdgmgbgdhdhfgdhbd}
\end{equation}
\begin{theorem}\label{thm:ehedadpfkhggchfgggmgfgbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v1\_classes2~X0)){\unicdbdjdcd}(\preoh (k4\_ordinal1 \in \\
X0){\unicdcdcdhd}({\unicdcdadad} X1 .  ((v3\_ordinal1~X1){\unicdcdcdhd}(m1\_subset\_1~X1~X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(\preoh v1\_xboole\_0~X2){\unicdbdjdcd}(\preoh (r2\_ordinal2~X1~k4\_ordinal1){\unicdcdcdhd}((X2=k4\_classes1~\\
X1){\unicdcdcdhd}(v1\_zf\_model~X2))))))\end{array}$$
\end{theorem}
\end{document}
