\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{l58\_waybel11 (TMJAGCVhvyg3zP2FCDy4ATEvbaoPwgd5iaC)}
\maketitle
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ g1\_orders\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_orders\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v3\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_lattice3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_lattice3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_orders\_2~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (l1\_orders\_2~X1){\unicdbdjdcd}((\\
(g1\_orders\_2~(u1\_struct\_0~X0)~(u1\_orders\_2~X0)=g1\_orders\_2~(\\
u1\_struct\_0~X1)~(u1\_orders\_2~X1)){\unicdcdcdhd}(v1\_lattice3~X0)){\unicdbdjdcd}(v1\_lattice3~\\
X1)))\end{array}
\label{hyp:ehbdfdpfjhfgmgmgpghhpfhd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_orders\_2~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (l1\_orders\_2~X1){\unicdbdjdcd}((\\
(g1\_orders\_2~(u1\_struct\_0~X0)~(u1\_orders\_2~X0)=g1\_orders\_2~(\\
u1\_struct\_0~X1)~(u1\_orders\_2~X1)){\unicdcdcdhd}(v2\_lattice3~X0)){\unicdbdjdcd}(v2\_lattice3~\\
X1)))\end{array}
\label{hyp:ehbdedpfjhfgmgmgpghhpfhd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_orders\_2~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (l1\_orders\_2~X1){\unicdbdjdcd}((\\
(g1\_orders\_2~(u1\_struct\_0~X0)~(u1\_orders\_2~X0)=g1\_orders\_2~(\\
u1\_struct\_0~X1)~(u1\_orders\_2~X1)){\unicdcdcdhd}(v5\_orders\_2~X0)){\unicdbdjdcd}(v5\_orders\_2~\\
X1)))\end{array}
\label{hyp:ehbdedpfhhbgjhcgfgmgpfid}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_orders\_2~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (l1\_orders\_2~X1){\unicdbdjdcd}((\\
(g1\_orders\_2~(u1\_struct\_0~X0)~(u1\_orders\_2~X0)=g1\_orders\_2~(\\
u1\_struct\_0~X1)~(u1\_orders\_2~X1)){\unicdcdcdhd}(v3\_orders\_2~X0)){\unicdbdjdcd}(v3\_orders\_2~\\
X1)))\end{array}
\label{hyp:ehbdcdpfhhbgjhcgfgmgpfid}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l1\_orders\_2~X0)){\unicdbdjdcd}((v4\_orders\_2~\\
X0){\unicdbdjded}(v4\_orders\_2~(g1\_orders\_2~(u1\_struct\_0~X0)~(u1\_orders\_2~\\
X0))))\end{array}
\label{hyp:mghdpfjhfgmgmgpghhpfgd}
\end{equation}
\begin{theorem}\label{thm:mgfdidpfhhbgjhcgfgmgbdbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l1\_orders\_2~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((\preoh v2\_struct\_0~X1){\unicdcdcdhd}(l1\_orders\_2~X1)){\unicdbdjdcd}(((g1\_orders\_2~(u1\_struct\_0~\\
X0)~(u1\_orders\_2~X0)=g1\_orders\_2~(u1\_struct\_0~X1)~(u1\_orders\_2~\\
X1)){\unicdcdcdhd}((v3\_orders\_2~X0){\unicdcdcdhd}((v4\_orders\_2~X0){\unicdcdcdhd}((v5\_orders\_2~X0){\unicdcdcdhd}\\
((v1\_lattice3~X0){\unicdcdcdhd}((v2\_lattice3~X0){\unicdcdcdhd}(l1\_orders\_2~X0))))))){\unicdbdjdcd}\\
((v3\_orders\_2~X1){\unicdcdcdhd}((v4\_orders\_2~X1){\unicdcdcdhd}((v5\_orders\_2~X1){\unicdcdcdhd}((v1\_lattice3~\\
X1){\unicdcdcdhd}((v2\_lattice3~X1){\unicdcdcdhd}(l1\_orders\_2~X1))))))))\end{array}$$
\end{theorem}
\end{document}
