\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{t7\_sysrel (TMU44qWDbVohT45bSJCJEV8fx5XoNAHFq1W)}
\maketitle
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  (k4\_tarski~X0~X1 \in \\
k2\_zfmisc\_1~X2~X3){\unicdbdjded}((X0 \in X2){\unicdcdcdhd}(X1 \in X3))\end{array}
\label{hyp:ehidhdpfkhggngjgdhdgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (\preoh (\preoh r1\_xboole\_0~X0~X1){\unicdcdcdhd}({\unicdcdadad} X2 .  \preoh (X2 \in \\
X0){\unicdcdcdhd}(X2 \in X1))){\unicdcdcdhd}(\preoh ({\unicdcdaddd} X2 .  (X2 \in X0){\unicdcdcdhd}(X2 \in X1)){\unicdcdcdhd}(r1\_xboole\_0~\\
X0~X1))\end{array}
\label{hyp:ehddpfihcgpgpgmgfgpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (X2=k2\_xboole\_0~X0~X1){\unicdbdjded}({\unicdcdadad} X3 .  \\
(X3 \in X2){\unicdbdjded}((X3 \in X0){\unicdcdcdid}(X3 \in X1)))\end{array}
\label{hyp:egddpfihcgpgpgmgfgpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (r1\_tarski~X0~X1){\unicdbdjded}({\unicdcdadad} X2 .  (X2 \in X0){\unicdbdjdcd}\\
(X2 \in X1))\end{array}
\label{hyp:egddpfehbgchdhlgjg}
\end{equation}
\begin{theorem}\label{thm:ehhdpfdhjhdhchfgmg}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  (v1\_relat\_1~\\
X4){\unicdbdjdcd}((((r1\_xboole\_0~X0~X1){\unicdcdcdhd}((r1\_tarski~X4~(k2\_xboole\_0~(k2\_zfmisc\_1~\\
X0~X1)~(k2\_zfmisc\_1~X1~X0))){\unicdcdcdhd}((k4\_tarski~X2~X3 \in X4){\unicdcdcdhd}(X2 \in X0)))){\unicdbdjdcd}\\
((\preoh X2 \in X1){\unicdcdcdhd}((\preoh X3 \in X0){\unicdcdcdhd}(X3 \in X1)))){\unicdcdcdhd}((((r1\_xboole\_0~X0~X1){\unicdcdcdhd}((r1\_tarski~\\
X4~(k2\_xboole\_0~(k2\_zfmisc\_1~X0~X1)~(k2\_zfmisc\_1~X1~X0))){\unicdcdcdhd}((k4\_tarski~\\
X2~X3 \in X4){\unicdcdcdhd}(X3 \in X1)))){\unicdbdjdcd}((\preoh X3 \in X0){\unicdcdcdhd}((\preoh X2 \in X1){\unicdcdcdhd}(X2 \in X0)))){\unicdcdcdhd}((((\\
r1\_xboole\_0~X0~X1){\unicdcdcdhd}((r1\_tarski~X4~(k2\_xboole\_0~(k2\_zfmisc\_1~X0~\\
X1)~(k2\_zfmisc\_1~X1~X0))){\unicdcdcdhd}((k4\_tarski~X2~X3 \in X4){\unicdcdcdhd}(X2 \in X1)))){\unicdbdjdcd}(\\
(\preoh X2 \in X0){\unicdcdcdhd}((\preoh X3 \in X1){\unicdcdcdhd}(X3 \in X0)))){\unicdcdcdhd}(((r1\_xboole\_0~X0~X1){\unicdcdcdhd}((r1\_tarski~\\
X4~(k2\_xboole\_0~(k2\_zfmisc\_1~X0~X1)~(k2\_zfmisc\_1~X1~X0))){\unicdcdcdhd}((k4\_tarski~\\
X2~X3 \in X4){\unicdcdcdhd}(X3 \in X0)))){\unicdbdjdcd}((\preoh X2 \in X0){\unicdcdcdhd}((\preoh X3 \in X1){\unicdcdcdhd}(X2 \in X1)))))))\end{array}$$
\end{theorem}
\end{document}
