\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{t7\_waybel26 (TMLLvHhscXaPzmTRYCEG2NVRzJmDRo3D5wx)}
\maketitle
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v6\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_waybel25 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v24\_waybel\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_waybel26 : {{\iota}{\unicdbdjdcd}{{\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 $ l1\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_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 $ k3\_waybel24 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_waybel25 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k6\_yellow\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_waybel\_9 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_monoid\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_waybel\_9 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\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.
Let $ v5\_pre\_topc : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
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}((v24\_waybel\_0~X0){\unicdcdcdhd}(l1\_orders\_2~X0)))))){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((v4\_yellow\_0~X1~X0){\unicdcdcdhd}((v4\_waybel\_0~\\
X1~X0){\unicdcdcdhd}(m1\_yellow\_0~X1~X0)))){\unicdbdjdcd}(v24\_waybel\_0~X1))\end{array}
\label{hyp:ehfdpfjhfgmgmgpghhbdgd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((v2\_pre\_topc~X1){\unicdcdcdhd}((v6\_pre\_topc~\\
X1){\unicdcdcdhd}((v1\_waybel25~X1){\unicdcdcdhd}(l1\_pre\_topc~X1))))){\unicdbdjdcd}((v4\_waybel\_0~(\\
k3\_waybel24~X0~(k1\_waybel25~X1))~(k6\_yellow\_1~(u1\_struct\_0~X0)~\\
(k1\_waybel25~X1))){\unicdcdcdhd}(m1\_yellow\_0~(k3\_waybel24~X0~(k1\_waybel25~\\
X1))~(k6\_yellow\_1~(u1\_struct\_0~X0)~(k1\_waybel25~X1)))))\end{array}
\label{hyp:ehedddpfhhbgjhcgfgmgcdfd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v2\_pre\_topc~X0){\unicdcdcdhd}((v6\_pre\_topc~\\
X0){\unicdcdcdhd}(l1\_pre\_topc~X0)))){\unicdbdjdcd}((v5\_orders\_2~(k1\_waybel25~X0)){\unicdcdcdhd}(v1\_waybel\_9~\\
(k1\_waybel25~X0)))\end{array}
\label{hyp:ggdgidpfhhbgjhcgfgmgcdfd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_pre\_topc~X0){\unicdbdjdcd}((v4\_orders\_2~(k1\_waybel25~X0)){\unicdcdcdhd}\\
(v1\_waybel\_9~(k1\_waybel25~X0)))\end{array}
\label{hyp:ggdghdpfhhbgjhcgfgmgcdfd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_pre\_topc~X0){\unicdbdjdcd}((v3\_orders\_2~(k1\_waybel25~X0)){\unicdcdcdhd}\\
(v1\_waybel\_9~(k1\_waybel25~X0)))\end{array}
\label{hyp:ggdggdpfhhbgjhcgfgmgcdfd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v3\_orders\_2~X0){\unicdcdcdhd}\\
((v4\_orders\_2~X0){\unicdcdcdhd}((v5\_orders\_2~X0){\unicdcdcdhd}((v24\_waybel\_0~X0){\unicdcdcdhd}(l1\_orders\_2~\\
X0)))))){\unicdcdcdhd}(\preoh v1\_xboole\_0~X1)){\unicdbdjdcd}((v1\_orders\_2~(k6\_yellow\_1~X1~X0)){\unicdcdcdhd}\\
(v24\_waybel\_0~(k6\_yellow\_1~X1~X0)))\end{array}
\label{hyp:ggdgfdpfjhfgmgmgpghhbdgd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l1\_pre\_topc~X0)){\unicdbdjdcd}((\preoh v2\_struct\_0~\\
(k1\_waybel25~X0)){\unicdcdcdhd}(v1\_waybel\_9~(k1\_waybel25~X0)))\end{array}
\label{hyp:ggdgedpfhhbgjhcgfgmgcdfd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l1\_struct\_0~X0)){\unicdbdjdcd}(\preoh v1\_xboole\_0~\\
(u1\_struct\_0~X0))\end{array}
\label{hyp:ggdgcdpfdhehchfhdgehpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v2\_pre\_topc~X0){\unicdcdcdhd}\\
(l1\_pre\_topc~X0))){\unicdcdcdhd}((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((v2\_pre\_topc~X1){\unicdcdcdhd}(l1\_pre\_topc~\\
X1)))){\unicdbdjdcd}((\preoh v2\_struct\_0~(k1\_waybel26~X0~X1)){\unicdcdcdhd}((v1\_monoid\_0~(k1\_waybel26~\\
X0~X1)){\unicdcdcdhd}((v1\_orders\_2~(k1\_waybel26~X0~X1)){\unicdcdcdhd}((v3\_orders\_2~(k1\_waybel26~\\
X0~X1)){\unicdcdcdhd}(v4\_orders\_2~(k1\_waybel26~X0~X1))))))\end{array}
\label{hyp:ggdgbdpfhhbgjhcgfgmgcdgd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((v5\_orders\_2~X1){\unicdcdcdhd}\\
(l1\_orders\_2~X1))){\unicdbdjdcd}((v1\_orders\_2~(k6\_yellow\_1~X0~X1)){\unicdcdcdhd}(v5\_orders\_2~\\
(k6\_yellow\_1~X0~X1)))\end{array}
\label{hyp:ggdgbdgdpfjhfgmgmgpghhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((v4\_orders\_2~X1){\unicdcdcdhd}\\
(l1\_orders\_2~X1))){\unicdbdjdcd}((v1\_orders\_2~(k6\_yellow\_1~X0~X1)){\unicdcdcdhd}(v4\_orders\_2~\\
(k6\_yellow\_1~X0~X1)))\end{array}
\label{hyp:ggdgbdfdpfjhfgmgmgpghhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v2\_pre\_topc~X0){\unicdcdcdhd}((v6\_pre\_topc~\\
X0){\unicdcdcdhd}((v1\_waybel25~X0){\unicdcdcdhd}(l1\_pre\_topc~X0))))){\unicdbdjdcd}((v24\_waybel\_0~\\
(k1\_waybel25~X0)){\unicdcdcdhd}(v1\_waybel\_9~(k1\_waybel25~X0)))\end{array}
\label{hyp:ggdgbdfdpfhhbgjhcgfgmgcdfd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((v3\_orders\_2~X1){\unicdcdcdhd}\\
(l1\_orders\_2~X1))){\unicdbdjdcd}((v1\_orders\_2~(k6\_yellow\_1~X0~X1)){\unicdcdcdhd}(v3\_orders\_2~\\
(k6\_yellow\_1~X0~X1)))\end{array}
\label{hyp:ggdgbdcdpfjhfgmgmgpghhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}(l1\_orders\_2~X1)){\unicdbdjdcd}\\
((\preoh v2\_struct\_0~(k6\_yellow\_1~X0~X1)){\unicdcdcdhd}(v1\_orders\_2~(k6\_yellow\_1~\\
X0~X1)))\end{array}
\label{hyp:ggdgbdbdpfjhfgmgmgpghhpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{l1\_waybel\_9}~{X0}})}{\unicdbdjdcd}{({{({{l1\_pre\_topc}~{X0}})}{\unicdcdcdhd}{({{l1\_orders\_2}~{X0}})}})}}}\label{hyp:egehpfmgbdpfhhbgjhcgfgmgpfjd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{l1\_pre\_topc}~{X0}})}{\unicdbdjdcd}{({{l1\_struct\_0}~{X0}})}}}\label{hyp:egehpfmgbdpfahchfgpfehpgahdg}
\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 .  {\unicdcdadad} X1 .  ((l1\_pre\_topc~X0){\unicdcdcdhd}((\preoh v2\_struct\_0~X1){\unicdcdcdhd}\\
(l1\_waybel\_9~X1))){\unicdbdjdcd}((v1\_orders\_2~(k3\_waybel24~X0~X1)){\unicdcdcdhd}(l1\_orders\_2~\\
(k3\_waybel24~X0~X1)))\end{array}
\label{hyp:egehpflgddpfhhbgjhcgfgmgcded}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_pre\_topc~X0){\unicdbdjdcd}((v1\_waybel\_9~(k1\_waybel25~X0)){\unicdcdcdhd}\\
(l1\_waybel\_9~(k1\_waybel25~X0)))\end{array}
\label{hyp:egehpflgbdpfhhbgjhcgfgmgcdfd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_pre\_topc~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}\\
(l1\_waybel\_9~X1)){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_orders\_2~X2){\unicdcdcdhd}(l1\_orders\_2~\\
X2)){\unicdbdjdcd}((X2=k3\_waybel24~X0~X1){\unicdbdjded}(((v4\_yellow\_0~X2~(k6\_yellow\_1~\\
(u1\_struct\_0~X0)~X1)){\unicdcdcdhd}(m1\_yellow\_0~X2~(k6\_yellow\_1~(u1\_struct\_0~\\
X0)~X1))){\unicdcdcdhd}({\unicdcdadad} X3 .  (X3 \in u1\_struct\_0~X2){\unicdbdjded}({\unicdcdaddd} X4 .  ((v1\_funct\_1~\\
X4){\unicdcdcdhd}((v1\_funct\_2~X4~(u1\_struct\_0~X0)~(u1\_struct\_0~X1)){\unicdcdcdhd}(m1\_subset\_1~\\
X4~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(u1\_struct\_0~X0)~(u1\_struct\_0~X1)))))){\unicdcdcdhd}\\
((X3=X4){\unicdcdcdhd}(v5\_pre\_topc~X4~X0~X1))))))))\end{array}
\label{hyp:egddpfhhbgjhcgfgmgcded}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((v2\_pre\_topc~X1){\unicdcdcdhd}(l1\_pre\_topc~\\
X1))){\unicdbdjdcd}(k1\_waybel26~X0~X1=k3\_waybel24~X0~(k1\_waybel25~X1)))\end{array}
\label{hyp:egbdpfhhbgjhcgfgmgcdgd}
\end{equation}
\begin{theorem}\label{thm:ehhdpfhhbgjhcgfgmgcdgd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((v2\_pre\_topc~X1){\unicdcdcdhd}((v6\_pre\_topc~\\
X1){\unicdcdcdhd}((v1\_waybel25~X1){\unicdcdcdhd}(l1\_pre\_topc~X1))))){\unicdbdjdcd}(v24\_waybel\_0~(\\
k1\_waybel26~X0~X1)))\end{array}$$
\end{theorem}
\end{document}
