\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{t27\_waybel10 (TMabPqhLSBHz3akknhd3EZhvTZV9WPcNKh6)}
\maketitle
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
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 $ k8\_waybel10 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_yellow\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v7\_yellow\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v4\_waybel\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m1\_yellow\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k4\_waybel10 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_waybel10 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l1\_orders\_2~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((\preoh v2\_struct\_0~X1){\unicdcdcdhd}(m1\_yellow\_0~X1~X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~\\
X2~(u1\_struct\_0~X1)){\unicdbdjdcd}(m1\_subset\_1~X2~(u1\_struct\_0~X0))))\end{array}
\label{hyp:ehfdidpfjhfgmgmgpghhpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l1\_orders\_2~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m1\_subset\_1~X1~(u1\_struct\_0~(k4\_waybel10~X0))){\unicdbdjded}((v1\_orders\_2~\\
X1){\unicdcdcdhd}((v4\_yellow\_0~X1~X0){\unicdcdcdhd}((v7\_yellow\_0~X1~X0){\unicdcdcdhd}(m1\_yellow\_0~X1~\\
X0)))))\end{array}
\label{hyp:ehbdgdpfhhbgjhcgfgmgbdad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_orders\_2~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_yellow\_0~X1~X0){\unicdbdjdcd}\\
(l1\_orders\_2~X1))\end{array}
\label{hyp:egehpfngbdpfjhfgmgmgpghhpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l1\_orders\_2~X0)){\unicdbdjdcd}((\preoh v2\_struct\_0~\\
(k8\_waybel10~X0)){\unicdcdcdhd}((v1\_orders\_2~(k8\_waybel10~X0)){\unicdcdcdhd}((v4\_yellow\_0~\\
(k8\_waybel10~X0)~(k4\_waybel10~X0)){\unicdcdcdhd}(m1\_yellow\_0~(k8\_waybel10~\\
X0)~(k4\_waybel10~X0)))))\end{array}
\label{hyp:egehpflgidpfhhbgjhcgfgmgbdad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l1\_orders\_2~X0)){\unicdbdjdcd}((\preoh v2\_struct\_0~\\
(k4\_waybel10~X0)){\unicdcdcdhd}((v1\_orders\_2~(k4\_waybel10~X0)){\unicdcdcdhd}((v4\_yellow\_0~\\
(k4\_waybel10~X0)~(k3\_waybel10~X0)){\unicdcdcdhd}(m1\_yellow\_0~(k4\_waybel10~\\
X0)~(k3\_waybel10~X0)))))\end{array}
\label{hyp:egehpflgedpfhhbgjhcgfgmgbdad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_orders\_2~X0){\unicdbdjdcd}((\preoh v2\_struct\_0~(k3\_waybel10~X0)){\unicdcdcdhd}\\
((v1\_orders\_2~(k3\_waybel10~X0)){\unicdcdcdhd}(l1\_orders\_2~(k3\_waybel10~X0))))\end{array}
\label{hyp:egehpflgddpfhhbgjhcgfgmgbdad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l1\_orders\_2~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((v1\_orders\_2~X1){\unicdcdcdhd}((v4\_yellow\_0~X1~(k4\_waybel10~\\
X0)){\unicdcdcdhd}(m1\_yellow\_0~X1~(k4\_waybel10~X0))))){\unicdbdjdcd}((X1=k8\_waybel10~\\
X0){\unicdbdjded}({\unicdcdadad} X2 .  ((v1\_orders\_2~X2){\unicdcdcdhd}((v4\_yellow\_0~X2~X0){\unicdcdcdhd}((v7\_yellow\_0~\\
X2~X0){\unicdcdcdhd}(m1\_yellow\_0~X2~X0)))){\unicdbdjdcd}((m1\_subset\_1~X2~(u1\_struct\_0~X1)){\unicdbdjded}\\
(v4\_waybel\_0~X2~X0)))))\end{array}
\label{hyp:eghdpfhhbgjhcgfgmgbdad}
\end{equation}
\begin{theorem}\label{thm:ehcdhdpfhhbgjhcgfgmgbdad}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l1\_orders\_2~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m1\_subset\_1~X1~(u1\_struct\_0~(k8\_waybel10~X0))){\unicdbdjded}((v1\_orders\_2~\\
X1){\unicdcdcdhd}((v4\_yellow\_0~X1~X0){\unicdcdcdhd}((v7\_yellow\_0~X1~X0){\unicdcdcdhd}((v4\_waybel\_0~\\
X1~X0){\unicdcdcdhd}(m1\_yellow\_0~X1~X0))))))\end{array}$$
\end{theorem}
\end{document}
