\documentclass{article}
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\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}
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\newcommand\unicdbdjdcd{\Rightarrow}
\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
\newcommand\unicdcdcdhd{\land}
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\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t57\_rewrite1 (TMWhyWGrXZN2nddZ3LBGP5dvLMnN1zQZg13)}
\maketitle
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v7\_rewrite1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v9\_rewrite1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k18\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_rewrite1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ r5\_rewrite1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ r6\_rewrite1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k4\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (r1\_rewrite1~\\
X0~X1~X2){\unicdbdjdcd}((r5\_rewrite1~X0~X1~X2){\unicdcdcdhd}((r6\_rewrite1~X0~X1~X2){\unicdcdcdhd}((r5\_rewrite1~\\
X0~X2~X1){\unicdcdcdhd}(r6\_rewrite1~X0~X2~X1)))))\end{array}
\label{hyp:ehddgdpfchfghhchjgehfgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (r1\_rewrite1~\\
X0~X1~X2){\unicdbdjded}(r1\_rewrite1~(k18\_finseq\_1~X0)~X1~X2))\end{array}
\label{hyp:ehcdbdpfchfghhchjgehfgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (r1\_rewrite1~\\
X0~X1~X2){\unicdbdjded}((X1=X2){\unicdcdcdid}(k4\_tarski~X1~X2 \in k18\_finseq\_1~X0)))\end{array}
\label{hyp:ehcdadpfchfghhchjgehfgbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_relat\_1}~{X0}})}{\unicdbdjdcd}{({{v1\_relat\_1}~{({{k18\_finseq\_1}~{X0}})}})}}}\label{hyp:egehpflgbdidpfggjgogdhfgbhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (r6\_rewrite1~\\
X0~X1~X2){\unicdbdjded}({\unicdcdaddd} X3 .  (r1\_rewrite1~X0~X3~X1){\unicdcdcdhd}(r1\_rewrite1~X0~X3~\\
X2)))\end{array}
\label{hyp:egidpfchfghhchjgehfgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (r5\_rewrite1~\\
X0~X1~X2){\unicdbdjded}({\unicdcdaddd} X3 .  (r1\_rewrite1~X0~X1~X3){\unicdcdcdhd}(r1\_rewrite1~X0~X2~\\
X3)))\end{array}
\label{hyp:eghdpfchfghhchjgehfgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}((v9\_rewrite1~X0){\unicdbdjded}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  \\
{\unicdcdadad} X3 .  ((k4\_tarski~X1~X2 \in X0){\unicdcdcdhd}(k4\_tarski~X1~X3 \in X0)){\unicdbdjdcd}(r5\_rewrite1~\\
X0~X2~X3)))\end{array}
\label{hyp:egcdedpfchfghhchjgehfgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}((v7\_rewrite1~X0){\unicdbdjded}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  \\
(r6\_rewrite1~X0~X1~X2){\unicdbdjdcd}(r5\_rewrite1~X0~X1~X2)))\end{array}
\label{hyp:egcdcdpfchfghhchjgehfgbd}
\end{equation}
\begin{theorem}\label{thm:ehfdhdpfchfghhchjgehfgbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}((v7\_rewrite1~X0){\unicdbdjded}(v9\_rewrite1~(\\
k18\_finseq\_1~X0)))\end{array}$$
\end{theorem}
\end{document}
