\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{t34\_zfrefle1 (TMPYbB2wrCoyC3C7RCyL8bE6PuyYDuYkutZ)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_classes2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k4\_ordinal1 : {\iota}$ be given.
Let $ k4\_classes1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r3\_zfrefle1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k2\_ordinal1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v2\_ordinal2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_ordinal2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k4\_ordinal4 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ 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 .  (v3\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v3\_ordinal1~X1){\unicdbdjdcd}((\\
X0 \in X1){\unicdbdjded}(k4\_classes1~X0 \in k4\_classes1~X1)))\end{array}
\label{hyp:ehddgdpfdgmgbgdhdhfgdhbd}
\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 .  ((v1\_funct\_1~X1){\unicdcdcdhd}((v1\_funct\_2~X1~(k2\_ordinal1~\\
X0)~(k2\_ordinal1~X0)){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(k2\_ordinal1~X0)~(k2\_ordinal1~X0)))))){\unicdbdjdcd}(\preoh (v2\_ordinal2~X1){\unicdcdcdhd}(\\
(v3\_ordinal2~X1){\unicdcdcdhd}({\unicdcdadad} X2 .  ((v3\_ordinal1~X2){\unicdcdcdhd}(m1\_subset\_1~\\
X2~X0)){\unicdbdjdcd}({\unicdcdadad} X3 .  (\preoh v1\_xboole\_0~X3){\unicdbdjdcd}(((k4\_ordinal4~X0~X1~X2=\\
X2){\unicdcdcdhd}(X3=k4\_classes1~X2)){\unicdbdjdcd}((k1\_xboole\_0=X2){\unicdcdcdid}(r3\_zfrefle1~X3~\\
X0)))))))))\end{array}
\label{hyp:ehddddpfkhggchfgggmgfgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v1\_classes2~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v3\_ordinal1~X1){\unicdcdcdhd}(m1\_subset\_1~X1~X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_funct\_1~\\
X2){\unicdcdcdhd}((v1\_funct\_2~X2~(k2\_ordinal1~X0)~(k2\_ordinal1~X0)){\unicdcdcdhd}(m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k2\_ordinal1~X0)~(k2\_ordinal1~X0)))))){\unicdbdjdcd}\\
(\preoh (k4\_ordinal1 \in X0){\unicdcdcdhd}((v2\_ordinal2~X2){\unicdcdcdhd}((v3\_ordinal2~X2){\unicdcdcdhd}({\unicdcdadad} X3 .  \\
((v3\_ordinal1~X3){\unicdcdcdhd}(m1\_subset\_1~X3~X0)){\unicdbdjdcd}(\preoh (X1 \in X3){\unicdcdcdhd}(k4\_ordinal4~\\
X0~X2~X3=X3))))))))\end{array}
\label{hyp:ehcdidpfkhggchfgggmgfgbd}
\end{equation}
Assume the following.
\begin{equation}
{{v1\_xboole\_0}~{k1\_xboole\_0}}\label{hyp:ggdgbdpfihcgpgpgmgfgpfad}
\end{equation}
\begin{theorem}\label{thm:ehddedpfkhggchfgggmgfgbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v1\_classes2~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v3\_ordinal1~X1){\unicdcdcdhd}(m1\_subset\_1~X1~X0)){\unicdbdjdcd}(\preoh (k4\_ordinal1 \in X0){\unicdcdcdhd}\\
({\unicdcdadad} X2 .  ((v3\_ordinal1~X2){\unicdcdcdhd}(m1\_subset\_1~X2~X0)){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
(\preoh v1\_xboole\_0~X3){\unicdbdjdcd}(\preoh (X1 \in X2){\unicdcdcdhd}((X3=k4\_classes1~X2){\unicdcdcdhd}(r3\_zfrefle1~\\
X3~X0)))))))\end{array}$$
\end{theorem}
\end{document}
