\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{t38\_orders\_1 (TMSoG4yCVu5Wsqq4YyJMV44nxkxLRg2VRSU)}
\maketitle
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r3\_orders\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r2\_orders\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_orders\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r6\_relat\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_relat\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r8\_relat\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r4\_relat\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((r2\_orders\_1~\\
X0~X1){\unicdcdcdhd}(r1\_tarski~X2~X1)){\unicdbdjdcd}(r2\_orders\_1~X0~X2))\end{array}
\label{hyp:ehddfdpfpgchegfgchdhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (r3\_orders\_1~X0~X1){\unicdbdjdcd}(\\
(r1\_orders\_1~X0~X1){\unicdcdcdhd}(r2\_orders\_1~X0~X1)))\end{array}
\label{hyp:ehcdjdpfpgchegfgchdhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((r6\_relat\_2~\\
X0~X1){\unicdcdcdhd}(r1\_tarski~X2~X1)){\unicdbdjdcd}(r6\_relat\_2~X0~X2))\end{array}
\label{hyp:mgfdedpfpgchegfgchdhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (r3\_orders\_1~X0~X1){\unicdbdjded}(\\
(r1\_relat\_2~X0~X1){\unicdcdcdhd}((r8\_relat\_2~X0~X1){\unicdcdcdhd}((r4\_relat\_2~X0~X1){\unicdcdcdhd}(r6\_relat\_2~\\
X0~X1)))))\end{array}
\label{hyp:egidpfpgchegfgchdhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (r2\_orders\_1~X0~X1){\unicdbdjded}(\\
(r1\_relat\_2~X0~X1){\unicdcdcdhd}((r8\_relat\_2~X0~X1){\unicdcdcdhd}(r4\_relat\_2~X0~X1))))\end{array}
\label{hyp:eghdpfpgchegfgchdhpfbd}
\end{equation}
\begin{theorem}\label{thm:ehddidpfpgchegfgchdhpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((r3\_orders\_1~\\
X0~X1){\unicdcdcdhd}(r1\_tarski~X2~X1)){\unicdbdjdcd}(r3\_orders\_1~X0~X2))\end{array}$$
\end{theorem}
\end{document}
