\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{t33\_waybel\_4 (TMLUXx5jj85UE9ybAbyUELpL8LW9bvUjJES)}
\maketitle
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\_yellow\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_lattice3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v23\_waybel\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k9\_waybel\_4 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_yellow\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_waybel\_4 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k8\_waybel\_4 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_funct\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k10\_waybel\_4 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_lattice3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v5\_orders\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v3\_orders\_2~X0){\unicdcdcdhd}((v4\_orders\_2~X0){\unicdcdcdhd}((v5\_orders\_2~\\
X0){\unicdcdcdhd}((v1\_yellow\_0~X0){\unicdcdcdhd}((v1\_lattice3~X0){\unicdcdcdhd}(l1\_orders\_2~X0)))))){\unicdbdjdcd}\\
(k2\_funct\_1~(k9\_waybel\_4~X0)=k10\_waybel\_4~X0)\end{array}
\label{hyp:ehddcdpfhhbgjhcgfgmgpfed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v3\_orders\_2~X0){\unicdcdcdhd}((v4\_orders\_2~X0){\unicdcdcdhd}((v5\_orders\_2~\\
X0){\unicdcdcdhd}((v1\_yellow\_0~X0){\unicdcdcdhd}((v1\_lattice3~X0){\unicdcdcdhd}(l1\_orders\_2~X0)))))){\unicdbdjdcd}\\
((v1\_orders\_2~(k2\_yellow\_1~(k3\_waybel\_4~X0))){\unicdcdcdhd}(v2\_lattice3~\\
(k2\_yellow\_1~(k3\_waybel\_4~X0))))\end{array}
\label{hyp:ggdgjdpfhhbgjhcgfgmgpfed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v3\_orders\_2~X0){\unicdcdcdhd}((v4\_orders\_2~X0){\unicdcdcdhd}((v5\_orders\_2~\\
X0){\unicdcdcdhd}((v1\_yellow\_0~X0){\unicdcdcdhd}((v1\_lattice3~X0){\unicdcdcdhd}(l1\_orders\_2~X0)))))){\unicdbdjdcd}\\
((v1\_funct\_1~(k9\_waybel\_4~X0)){\unicdcdcdhd}((v2\_funct\_1~(k9\_waybel\_4~X0)){\unicdcdcdhd}\\
(v1\_funct\_2~(k9\_waybel\_4~X0)~(u1\_struct\_0~(k2\_yellow\_1~(k3\_waybel\_4~\\
X0)))~(u1\_struct\_0~(k8\_waybel\_4~X0)))))\end{array}
\label{hyp:ggdgbdjdpfhhbgjhcgfgmgpfed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v3\_orders\_2~X0){\unicdcdcdhd}((v4\_orders\_2~X0){\unicdcdcdhd}((v5\_orders\_2~\\
X0){\unicdcdcdhd}((v1\_yellow\_0~X0){\unicdcdcdhd}((v1\_lattice3~X0){\unicdcdcdhd}(l1\_orders\_2~X0)))))){\unicdbdjdcd}\\
((v1\_funct\_1~(k10\_waybel\_4~X0)){\unicdcdcdhd}((v1\_funct\_2~(k10\_waybel\_4~\\
X0)~(u1\_struct\_0~(k8\_waybel\_4~X0))~(u1\_struct\_0~(k2\_yellow\_1~\\
(k3\_waybel\_4~X0)))){\unicdcdcdhd}(v5\_orders\_3~(k10\_waybel\_4~X0)~(k8\_waybel\_4~\\
X0)~(k2\_yellow\_1~(k3\_waybel\_4~X0)))))\end{array}
\label{hyp:ggdgbdidpfhhbgjhcgfgmgpfed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v3\_orders\_2~X0){\unicdcdcdhd}((v4\_orders\_2~X0){\unicdcdcdhd}((v5\_orders\_2~\\
X0){\unicdcdcdhd}((v1\_yellow\_0~X0){\unicdcdcdhd}((v1\_lattice3~X0){\unicdcdcdhd}(l1\_orders\_2~X0)))))){\unicdbdjdcd}\\
((v1\_funct\_1~(k9\_waybel\_4~X0)){\unicdcdcdhd}((v1\_funct\_2~(k9\_waybel\_4~X0)~\\
(u1\_struct\_0~(k2\_yellow\_1~(k3\_waybel\_4~X0)))~(u1\_struct\_0~(k8\_waybel\_4~\\
X0))){\unicdcdcdhd}(v5\_orders\_3~(k9\_waybel\_4~X0)~(k2\_yellow\_1~(k3\_waybel\_4~\\
X0))~(k8\_waybel\_4~X0))))\end{array}
\label{hyp:ggdgbdhdpfhhbgjhcgfgmgpfed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v3\_orders\_2~X0){\unicdcdcdhd}((v4\_orders\_2~X0){\unicdcdcdhd}((v5\_orders\_2~\\
X0){\unicdcdcdhd}((v1\_yellow\_0~X0){\unicdcdcdhd}((v1\_lattice3~X0){\unicdcdcdhd}(l1\_orders\_2~X0)))))){\unicdbdjdcd}\\
((\preoh v2\_struct\_0~(k8\_waybel\_4~X0)){\unicdcdcdhd}(v1\_orders\_2~(k8\_waybel\_4~\\
X0)))\end{array}
\label{hyp:ggdgbdfdpfhhbgjhcgfgmgpfed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v3\_orders\_2~X0){\unicdcdcdhd}((v4\_orders\_2~X0){\unicdcdcdhd}((v5\_orders\_2~\\
X0){\unicdcdcdhd}((v1\_yellow\_0~X0){\unicdcdcdhd}((v1\_lattice3~X0){\unicdcdcdhd}(l1\_orders\_2~X0)))))){\unicdbdjdcd}\\
((v1\_funct\_1~(k9\_waybel\_4~X0)){\unicdcdcdhd}((v1\_funct\_2~(k9\_waybel\_4~X0)~\\
(u1\_struct\_0~(k2\_yellow\_1~(k3\_waybel\_4~X0)))~(u1\_struct\_0~(k8\_waybel\_4~\\
X0))){\unicdcdcdhd}(m1\_subset\_1~(k9\_waybel\_4~X0)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(u1\_struct\_0~(k2\_yellow\_1~(k3\_waybel\_4~X0)))~(u1\_struct\_0~(k8\_waybel\_4~\\
X0)))))))\end{array}
\label{hyp:egehpflgjdpfhhbgjhcgfgmgpfed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v3\_orders\_2~X0){\unicdcdcdhd}((v4\_orders\_2~\\
X0){\unicdcdcdhd}((v5\_orders\_2~X0){\unicdcdcdhd}(l1\_orders\_2~X0))))){\unicdbdjdcd}((v1\_orders\_2~(\\
k8\_waybel\_4~X0)){\unicdcdcdhd}(l1\_orders\_2~(k8\_waybel\_4~X0)))\end{array}
\label{hyp:egehpflgidpfhhbgjhcgfgmgpfed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_orders\_2~(k2\_yellow\_1~X0)){\unicdcdcdhd}(l1\_orders\_2~(k2\_yellow\_1~\\
X0))\end{array}
\label{hyp:egehpflgcdpfjhfgmgmgpghhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v3\_orders\_2~X0){\unicdcdcdhd}((v4\_orders\_2~X0){\unicdcdcdhd}((v5\_orders\_2~\\
X0){\unicdcdcdhd}((v1\_yellow\_0~X0){\unicdcdcdhd}((v1\_lattice3~X0){\unicdcdcdhd}(l1\_orders\_2~X0)))))){\unicdbdjdcd}\\
((v1\_funct\_1~(k10\_waybel\_4~X0)){\unicdcdcdhd}((v1\_funct\_2~(k10\_waybel\_4~\\
X0)~(u1\_struct\_0~(k8\_waybel\_4~X0))~(u1\_struct\_0~(k2\_yellow\_1~\\
(k3\_waybel\_4~X0)))){\unicdcdcdhd}(m1\_subset\_1~(k10\_waybel\_4~X0)~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~(u1\_struct\_0~(k8\_waybel\_4~X0))~(u1\_struct\_0~(k2\_yellow\_1~\\
(k3\_waybel\_4~X0))))))))\end{array}
\label{hyp:egehpflgbdadpfhhbgjhcgfgmgpfed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_orders\_2~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (l1\_orders\_2~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
((v1\_funct\_1~X2){\unicdcdcdhd}((v1\_funct\_2~X2~(u1\_struct\_0~X0)~(u1\_struct\_0~\\
X1)){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(u1\_struct\_0~\\
X0)~(u1\_struct\_0~X1)))))){\unicdbdjdcd}((\preoh (\preoh v2\_struct\_0~X0){\unicdcdcdhd}((\preoh v2\_struct\_0~\\
X1){\unicdcdcdhd}(\preoh (v23\_waybel\_0~X2~X0~X1){\unicdbdjded}((v2\_funct\_1~X2){\unicdcdcdhd}((v5\_orders\_3~\\
X2~X0~X1){\unicdcdcdhd}({\unicdcdaddd} X3 .  ((v1\_funct\_1~X3){\unicdcdcdhd}((v1\_funct\_2~X3~(u1\_struct\_0~\\
X1)~(u1\_struct\_0~X0)){\unicdcdcdhd}(m1\_subset\_1~X3~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(u1\_struct\_0~X1)~(u1\_struct\_0~X0)))))){\unicdcdcdhd}((X3=k2\_funct\_1~X2){\unicdcdcdhd}\\
(v5\_orders\_3~X3~X1~X0)))))))){\unicdcdcdhd}((\preoh (\preoh v2\_struct\_0~X0){\unicdcdcdhd}(\preoh v2\_struct\_0~\\
X1)){\unicdbdjdcd}((v23\_waybel\_0~X2~X0~X1){\unicdbdjded}((v2\_struct\_0~X0){\unicdcdcdhd}(v2\_struct\_0~\\
X1)))))))\end{array}
\label{hyp:egddidpfhhbgjhcgfgmgpfad}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{l1\_orders\_2}~{X0}})}{\unicdbdjdcd}{({{({{v2\_lattice3}~{X0}})}{\unicdbdjdcd}{({\preoh{{{v2\_struct\_0}~{X0}}}})}})}}}\label{hyp:dgdgcdpfmgbgehehjgdgfgdd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{l1\_orders\_2}~{X0}})}{\unicdbdjdcd}{({{({{v1\_lattice3}~{X0}})}{\unicdbdjdcd}{({\preoh{{{v2\_struct\_0}~{X0}}}})}})}}}\label{hyp:dgdgbdpfmgbgehehjgdgfgdd}
\end{equation}
\begin{theorem}\label{thm:ehddddpfhhbgjhcgfgmgpfed}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v3\_orders\_2~X0){\unicdcdcdhd}((v4\_orders\_2~X0){\unicdcdcdhd}((v5\_orders\_2~\\
X0){\unicdcdcdhd}((v1\_yellow\_0~X0){\unicdcdcdhd}((v1\_lattice3~X0){\unicdcdcdhd}(l1\_orders\_2~X0)))))){\unicdbdjdcd}\\
(v23\_waybel\_0~(k9\_waybel\_4~X0)~(k2\_yellow\_1~(k3\_waybel\_4~X0))~\\
(k8\_waybel\_4~X0))\end{array}$$
\end{theorem}
\end{document}
