\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{t29\_waybel\_7 (TMc5HsNqifXMDcfHFGPCHP7bqKoTGSg197T)}
\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 $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_yellow\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_pre\_topc : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_waybel\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_waybel\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_yellow\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v13\_waybel\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v3\_waybel\_7 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r2\_waybel\_7 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ v1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_waybel\_7 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ v1\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ 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.
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 .  (m1\_subset\_1~X1~(u1\_struct\_0~(k2\_yellow\_1~\\
(u1\_pre\_topc~X0)))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(u1\_struct\_0~\\
(k2\_yellow\_1~(u1\_pre\_topc~X0)))){\unicdbdjdcd}((r1\_waybel\_3~(k2\_yellow\_1~\\
(u1\_pre\_topc~X0))~X1~X2){\unicdbdjdcd}({\unicdcdadad} X3 .  ((\preoh v1\_xboole\_0~X3){\unicdcdcdhd}((v1\_subset\_1~\\
X3~(u1\_struct\_0~(k3\_yellow\_1~(u1\_struct\_0~X0)))){\unicdcdcdhd}((v2\_waybel\_0~\\
X3~(k3\_yellow\_1~(u1\_struct\_0~X0))){\unicdcdcdhd}((v13\_waybel\_0~X3~(k3\_yellow\_1~\\
(u1\_struct\_0~X0))){\unicdcdcdhd}(m1\_subset\_1~X3~(k1\_zfmisc\_1~(u1\_struct\_0~\\
(k3\_yellow\_1~(u1\_struct\_0~X0))))))))){\unicdbdjdcd}(\preoh (X1 \in X3){\unicdcdcdhd}({\unicdcdadad} X4 .  \\
(m1\_subset\_1~X4~(u1\_struct\_0~X0)){\unicdbdjdcd}(\preoh (X4 \in X2){\unicdcdcdhd}(r1\_waybel\_7~X0~\\
X3~X4))))))))\end{array}
\label{hyp:ehcdidpfhhbgjhcgfgmgpfhd}
\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 v1\_xboole\_0~X1){\unicdcdcdhd}((v2\_waybel\_0~X1~(k3\_yellow\_1~\\
(u1\_struct\_0~X0))){\unicdcdcdhd}((v13\_waybel\_0~X1~(k3\_yellow\_1~(u1\_struct\_0~\\
X0))){\unicdcdcdhd}((v3\_waybel\_7~X1~(k3\_yellow\_1~(u1\_struct\_0~X0))){\unicdcdcdhd}(m1\_subset\_1~\\
X1~(k1\_zfmisc\_1~(u1\_struct\_0~(k3\_yellow\_1~(u1\_struct\_0~X0))))))))){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  (r1\_waybel\_7~X0~X1~X2){\unicdbdjded}(r2\_waybel\_7~X0~X1~X2)))\end{array}
\label{hyp:ehcdhdpfhhbgjhcgfgmgpfhd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v2\_struct\_0~(k3\_yellow\_1~X0)){\unicdcdcdhd}((v1\_orders\_2~(k3\_yellow\_1~\\
X0)){\unicdcdcdhd}((v3\_orders\_2~(k3\_yellow\_1~X0)){\unicdcdcdhd}((v4\_orders\_2~(k3\_yellow\_1~\\
X0)){\unicdcdcdhd}(v5\_orders\_2~(k3\_yellow\_1~X0)))))\end{array}
\label{hyp:ggdghdpfjhfgmgmgpghhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_orders\_2~(k3\_yellow\_1~X0)){\unicdcdcdhd}(l1\_orders\_2~(k3\_yellow\_1~\\
X0))\end{array}
\label{hyp:egehpflgddpfjhfgmgmgpghhpfbd}
\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}({\unicdcdadad} X1 .  (m1\_subset\_1~\\
X1~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}(((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}((v2\_waybel\_0~\\
X1~X0){\unicdcdcdhd}((v13\_waybel\_0~X1~X0){\unicdcdcdhd}(v3\_waybel\_7~X1~X0)))){\unicdbdjdcd}((\preoh v1\_xboole\_0~\\
X1){\unicdcdcdhd}((v1\_subset\_1~X1~(u1\_struct\_0~X0)){\unicdcdcdhd}((v2\_waybel\_0~X1~X0){\unicdcdcdhd}\\
(v13\_waybel\_0~X1~X0))))))\end{array}
\label{hyp:dgdgbdpfhhbgjhcgfgmgpfhd}
\end{equation}
\begin{theorem}\label{thm:ehcdjdpfhhbgjhcgfgmgpfhd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u1\_struct\_0~(k2\_yellow\_1~\\
(u1\_pre\_topc~X0)))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(u1\_struct\_0~\\
(k2\_yellow\_1~(u1\_pre\_topc~X0)))){\unicdbdjdcd}((r1\_waybel\_3~(k2\_yellow\_1~\\
(u1\_pre\_topc~X0))~X1~X2){\unicdbdjdcd}({\unicdcdadad} X3 .  ((\preoh v1\_xboole\_0~X3){\unicdcdcdhd}((v2\_waybel\_0~\\
X3~(k3\_yellow\_1~(u1\_struct\_0~X0))){\unicdcdcdhd}((v13\_waybel\_0~X3~(k3\_yellow\_1~\\
(u1\_struct\_0~X0))){\unicdcdcdhd}((v3\_waybel\_7~X3~(k3\_yellow\_1~(u1\_struct\_0~\\
X0))){\unicdcdcdhd}(m1\_subset\_1~X3~(k1\_zfmisc\_1~(u1\_struct\_0~(k3\_yellow\_1~\\
(u1\_struct\_0~X0))))))))){\unicdbdjdcd}(\preoh (X1 \in X3){\unicdcdcdhd}({\unicdcdadad} X4 .  (m1\_subset\_1~\\
X4~(u1\_struct\_0~X0)){\unicdbdjdcd}(\preoh (X4 \in X2){\unicdcdcdhd}(r2\_waybel\_7~X0~X3~X4))))))))\end{array}$$
\end{theorem}
\end{document}
