\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{t22\_waybel10 (TMH8sXKK992h9vAAWUNW43Fnp7xAnBr6FoD)}
\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\_lattice3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_lattice3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_lattice3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r5\_waybel\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_waybel10 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_waybel10 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k3\_waybel10 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_waybel10 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v4\_yellow\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m1\_yellow\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k7\_lattice3 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k5\_waybel10 : {{\iota}{\unicdbdjdcd}{\iota}}$ 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 $ v23\_waybel\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ v1\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k7\_yellow\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_yellow\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ 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 .  {\unicdcdadad} X1 .  ((l1\_orders\_2~X0){\unicdcdcdhd}((v4\_yellow\_0~X1~X0){\unicdcdcdhd}\\
(m1\_yellow\_0~X1~X0))){\unicdbdjdcd}(k1\_waybel10~X0~X1=k7\_lattice3~X1)\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpflgbdpfhhbgjhcgfgmgbdad}
\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\_lattice3~X0){\unicdcdcdhd}((v2\_lattice3~X0){\unicdcdcdhd}((v3\_lattice3~X0){\unicdcdcdhd}\\
(l1\_orders\_2~X0))))))){\unicdbdjdcd}((v1\_funct\_1~(k5\_waybel10~X0)){\unicdcdcdhd}((v1\_funct\_2~\\
(k5\_waybel10~X0)~(u1\_struct\_0~(k2\_waybel10~X0))~(u1\_struct\_0~\\
(k1\_waybel10~(k3\_waybel10~X0)~(k4\_waybel10~X0)))){\unicdcdcdhd}(v23\_waybel\_0~\\
(k5\_waybel10~X0)~(k2\_waybel10~X0)~(k1\_waybel10~(k3\_waybel10~X0)~\\
(k4\_waybel10~X0)))))\end{array}
\label{hyp:ggdgbdcdpfhhbgjhcgfgmgbdad}
\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 .  {\unicdcdadad} X1 .  ((l1\_orders\_2~X0){\unicdcdcdhd}(l1\_orders\_2~X1)){\unicdbdjdcd}(\\
(v1\_orders\_2~(k7\_yellow\_1~X0~X1)){\unicdcdcdhd}((v4\_yellow\_0~(k7\_yellow\_1~\\
X0~X1)~(k6\_yellow\_1~(u1\_struct\_0~X0)~X1)){\unicdcdcdhd}(m1\_yellow\_0~(k7\_yellow\_1~\\
X0~X1)~(k6\_yellow\_1~(u1\_struct\_0~X0)~X1))))\end{array}
\label{hyp:egehpflghdpfjhfgmgmgpghhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_orders\_2~X0){\unicdbdjdcd}((v1\_orders\_2~(k7\_lattice3~X0)){\unicdcdcdhd}\\
(l1\_orders\_2~(k7\_lattice3~X0)))\end{array}
\label{hyp:egehpflghdpfmgbgehehjgdgfgdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (l1\_orders\_2~X1){\unicdbdjdcd}((v1\_orders\_2~(k6\_yellow\_1~\\
X0~X1)){\unicdcdcdhd}(l1\_orders\_2~(k6\_yellow\_1~X0~X1)))\end{array}
\label{hyp:egehpflggdpfjhfgmgmgpghhpfbd}
\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\_funct\_1~(k5\_waybel10~\\
X0)){\unicdcdcdhd}((v1\_funct\_2~(k5\_waybel10~X0)~(u1\_struct\_0~(k2\_waybel10~\\
X0))~(u1\_struct\_0~(k1\_waybel10~(k3\_waybel10~X0)~(k4\_waybel10~\\
X0)))){\unicdcdcdhd}(m1\_subset\_1~(k5\_waybel10~X0)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(u1\_struct\_0~(k2\_waybel10~X0))~(u1\_struct\_0~(k1\_waybel10~(k3\_waybel10~\\
X0)~(k4\_waybel10~X0))))))))\end{array}
\label{hyp:egehpflgfdpfhhbgjhcgfgmgbdad}
\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}((v3\_orders\_2~X0){\unicdcdcdhd}(l1\_orders\_2~\\
X0))){\unicdbdjdcd}((\preoh v2\_struct\_0~(k2\_waybel10~X0)){\unicdcdcdhd}((v1\_orders\_2~(k2\_waybel10~\\
X0)){\unicdcdcdhd}((v4\_yellow\_0~(k2\_waybel10~X0)~(k7\_yellow\_1~X0~X0)){\unicdcdcdhd}(m1\_yellow\_0~\\
(k2\_waybel10~X0)~(k7\_yellow\_1~X0~X0)))))\end{array}
\label{hyp:egehpflgcdpfhhbgjhcgfgmgbdad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_orders\_2~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (l1\_orders\_2~X1){\unicdbdjdcd}((\\
r5\_waybel\_1~X0~X1){\unicdbdjded}({\unicdcdaddd} 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)))))){\unicdcdcdhd}(v23\_waybel\_0~\\
X2~X0~X1))))\end{array}
\label{hyp:egidpfhhbgjhcgfgmgpfbd}
\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:ehcdcdpfhhbgjhcgfgmgbdad}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v3\_orders\_2~X0){\unicdcdcdhd}((v4\_orders\_2~X0){\unicdcdcdhd}((v5\_orders\_2~\\
X0){\unicdcdcdhd}((v1\_lattice3~X0){\unicdcdcdhd}((v2\_lattice3~X0){\unicdcdcdhd}((v3\_lattice3~X0){\unicdcdcdhd}\\
(l1\_orders\_2~X0))))))){\unicdbdjdcd}(r5\_waybel\_1~(k2\_waybel10~X0)~(k1\_waybel10~\\
(k3\_waybel10~X0)~(k4\_waybel10~X0)))\end{array}$$
\end{theorem}
\end{document}
