\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}
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\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{t64\_orders\_1 (TMFMs6yATrf2siTSQksRE7mtaWcrjmxGaZF)}
\maketitle
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r2\_orders\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_relat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r5\_orders\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r7\_orders\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r4\_orders\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r6\_orders\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_relat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  \preoh (r2\_orders\_1~X0~X1){\unicdcdcdhd}\\
((k1\_relat\_1~X0=X1){\unicdcdcdhd}((r4\_orders\_1~X0~X1){\unicdcdcdhd}({\unicdcdadad} X2 .  \preoh r6\_orders\_1~\\
X0~X2))))\end{array}
\label{hyp:ehgdddpfpgchegfgchdhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (r7\_orders\_1~X0~X1){\unicdbdjded}(\\
r6\_orders\_1~(k2\_relat\_1~X0)~X1))\end{array}
\label{hyp:ehfdjdpfpgchegfgchdhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (r4\_orders\_1~(k2\_relat\_1~\\
X0)~X1){\unicdbdjded}(r5\_orders\_1~X0~X1))\end{array}
\label{hyp:ehfdcdpfpgchegfgchdhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (r2\_orders\_1~X0~X1){\unicdbdjdcd}(\\
r2\_orders\_1~(k2\_relat\_1~X0)~X1))\end{array}
\label{hyp:ehedbdpfpgchegfgchdhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}(k1\_relat\_1~X0=k1\_relat\_1~(k2\_relat\_1~\\
X0))\end{array}
\label{hyp:ehcdbdpfchfgmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_relat\_1}~{X0}})}{\unicdbdjdcd}{({{v1\_relat\_1}~{({{k2\_relat\_1}~{X0}})}})}}}\label{hyp:egehpflgcdpfchfgmgbgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehgdedpfpgchegfgchdhpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  \preoh (r2\_orders\_1~X0~X1){\unicdcdcdhd}\\
((k1\_relat\_1~X0=X1){\unicdcdcdhd}((r5\_orders\_1~X0~X1){\unicdcdcdhd}({\unicdcdadad} X2 .  \preoh r7\_orders\_1~\\
X0~X2))))\end{array}$$
\end{theorem}
\end{document}
