\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{t37\_zfrefle1 (TMdKBxCjsw19K8Y755XJeZraMfecBj42Qjx)}
\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 $ 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 $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ 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 $ v3\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k4\_ordinal4 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k4\_classes1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ r2\_zfrefle1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r3\_zfrefle1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}\\
((r3\_zfrefle1~X0~X1){\unicdbdjdcd}(r2\_zfrefle1~X0~X1)))\end{array}
\label{hyp:ehjdpfkhggchfgggmgfgbd}
\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}
\begin{theorem}\label{thm:ehddhdpfkhggchfgggmgfgbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v1\_classes2~X0)){\unicdbdjdcd}(\preoh (k4\_ordinal1 \in \\
X0){\unicdcdcdhd}({\unicdcdadad} X1 .  ((v1\_funct\_1~X1){\unicdcdcdhd}((v1\_funct\_2~X1~(k2\_ordinal1~\\
X0)~(k2\_ordinal1~X0)){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(k2\_ordinal1~X0)~(k2\_ordinal1~X0)))))){\unicdbdjdcd}(\preoh (v2\_ordinal2~X1){\unicdcdcdhd}(\\
(v3\_ordinal2~X1){\unicdcdcdhd}({\unicdcdadad} X2 .  ((v3\_ordinal1~X2){\unicdcdcdhd}(m1\_subset\_1~\\
X2~X0)){\unicdbdjdcd}({\unicdcdadad} X3 .  (\preoh v1\_xboole\_0~X3){\unicdbdjdcd}(((k4\_ordinal4~X0~X1~X2=\\
X2){\unicdcdcdhd}(X3=k4\_classes1~X2)){\unicdbdjdcd}((k1\_xboole\_0=X2){\unicdcdcdid}(r2\_zfrefle1~X3~\\
X0)))))))))\end{array}$$
\end{theorem}
\end{document}
