\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{t9\_yellow\_7 (TMX4qd5bcfM24w2CsC2a3jQKDtBFJ8SVX8h)}
\maketitle
Let $ l1\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k7\_lattice3 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_lattice3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ r2\_lattice3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k9\_lattice3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k8\_lattice3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_orders\_2~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u1\_struct\_0~\\
X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  ((r1\_lattice3~X0~X2~X1){\unicdbdjdcd}(r2\_lattice3~(k7\_lattice3~\\
X0)~X2~(k8\_lattice3~X0~X1))){\unicdcdcdhd}(((r2\_lattice3~(k7\_lattice3~X0)~X2~\\
(k8\_lattice3~X0~X1)){\unicdbdjdcd}(r1\_lattice3~X0~X2~X1)){\unicdcdcdhd}(((r2\_lattice3~X0~\\
X2~X1){\unicdbdjdcd}(r1\_lattice3~(k7\_lattice3~X0)~X2~(k8\_lattice3~X0~X1))){\unicdcdcdhd}\\
((r1\_lattice3~(k7\_lattice3~X0)~X2~(k8\_lattice3~X0~X1)){\unicdbdjdcd}(r2\_lattice3~\\
X0~X2~X1))))))\end{array}
\label{hyp:ehidpfjhfgmgmgpghhpfhd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((l1\_orders\_2~X0){\unicdcdcdhd}(m1\_subset\_1~X1~(u1\_struct\_0~\\
(k7\_lattice3~X0)))){\unicdbdjdcd}(m1\_subset\_1~(k9\_lattice3~X0~X1)~(u1\_struct\_0~\\
X0))\end{array}
\label{hyp:egehpflgjdpfmgbgehehjgdgfgdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_orders\_2~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u1\_struct\_0~\\
(k7\_lattice3~X0))){\unicdbdjdcd}(k9\_lattice3~X0~X1=X1))\end{array}
\label{hyp:eghdpfmgbgehehjgdgfgdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_orders\_2~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u1\_struct\_0~\\
X0)){\unicdbdjdcd}(k8\_lattice3~X0~X1=X1))\end{array}
\label{hyp:eggdpfmgbgehehjgdgfgdd}
\end{equation}
\begin{theorem}\label{thm:ehjdpfjhfgmgmgpghhpfhd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (l1\_orders\_2~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u1\_struct\_0~\\
(k7\_lattice3~X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((r1\_lattice3~(k7\_lattice3~X0)~\\
X2~X1){\unicdbdjdcd}(r2\_lattice3~X0~X2~(k9\_lattice3~X0~X1))){\unicdcdcdhd}(((r2\_lattice3~\\
X0~X2~(k9\_lattice3~X0~X1)){\unicdbdjdcd}(r1\_lattice3~(k7\_lattice3~X0)~X2~X1)){\unicdcdcdhd}\\
(((r2\_lattice3~(k7\_lattice3~X0)~X2~X1){\unicdbdjdcd}(r1\_lattice3~X0~X2~(k9\_lattice3~\\
X0~X1))){\unicdcdcdhd}((r1\_lattice3~X0~X2~(k9\_lattice3~X0~X1)){\unicdbdjdcd}(r2\_lattice3~\\
(k7\_lattice3~X0)~X2~X1))))))\end{array}$$
\end{theorem}
\end{document}
