\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\_waybel33 (TMGNdrjrAHMkUhdjbAKQpWEwuufJgqEdpyr)}
\maketitle
Let $ v2\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m2\_yellow\_9 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m3\_yellow\_9 : {{\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 $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_cantor\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ u1\_pre\_topc : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_cantor\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_tops\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v2\_cantor\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_cantor\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~(k1\_zfmisc\_1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(k1\_zfmisc\_1~(k1\_zfmisc\_1~\\
X0))){\unicdbdjdcd}((r1\_tarski~X1~X2){\unicdbdjdcd}(r1\_tarski~(k1\_cantor\_1~X0~X1)~(k1\_cantor\_1~\\
X0~X2))))\end{array}
\label{hyp:ehjdpfdgbgogehpgchpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((r1\_tarski~X0~X1){\unicdcdcdhd}(r1\_tarski~\\
X2~X1)){\unicdbdjdcd}(r1\_tarski~(k2\_xboole\_0~X0~X2)~X1)\end{array}
\label{hyp:ehidpfihcgpgpgmgfgpfbd}
\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}(u1\_pre\_topc~X0=k1\_cantor\_1~(u1\_struct\_0~X0)~(k2\_cantor\_1~\\
(u1\_struct\_0~X0)~(u1\_pre\_topc~X0)))\end{array}
\label{hyp:ehhdpfdgbgogehpgchpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k1\_zfmisc\_1~(u1\_struct\_0~X0)))){\unicdbdjdcd}\\
(((v1\_tops\_2~X1~X0){\unicdcdcdhd}((v2\_cantor\_1~X1~X0){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k1\_zfmisc\_1~(u1\_struct\_0~X0)))))){\unicdbdjded}((v1\_tops\_2~(k2\_cantor\_1~\\
(u1\_struct\_0~X0)~X1)~X0){\unicdcdcdhd}((v1\_cantor\_1~(k2\_cantor\_1~(u1\_struct\_0~\\
X0)~X1)~X0){\unicdcdcdhd}(m1\_subset\_1~(k2\_cantor\_1~(u1\_struct\_0~X0)~X1)~(k1\_zfmisc\_1~\\
(k1\_zfmisc\_1~(u1\_struct\_0~X0))))))))\end{array}
\label{hyp:ehcdddpfjhfgmgmgpghhpfjd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k1\_zfmisc\_1~(u1\_struct\_0~X0)))){\unicdbdjdcd}\\
((u1\_pre\_topc~X0=k1\_cantor\_1~(u1\_struct\_0~X0)~X1){\unicdbdjded}((v1\_tops\_2~\\
X1~X0){\unicdcdcdhd}((v1\_cantor\_1~X1~X0){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k1\_zfmisc\_1~\\
(u1\_struct\_0~X0))))))))\end{array}
\label{hyp:ehcdcdpfjhfgmgmgpghhpfjd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~(k1\_zfmisc\_1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(k1\_zfmisc\_1~(k1\_zfmisc\_1~\\
X0))){\unicdbdjdcd}((r1\_tarski~X1~X2){\unicdbdjdcd}(r1\_tarski~(k2\_cantor\_1~X0~X1)~(k2\_cantor\_1~\\
X0~X2))))\end{array}
\label{hyp:ehbdedpfdgbgogehpgchpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{{{k2\_xboole\_0}~{X0}}~{X0}}={X0}}}}\label{hyp:jgegfgngahpgehfgogdgfgpflgcdpfihcgpgpgmgfgpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_pre\_topc~X0){\unicdbdjdcd}(m1\_subset\_1~(u1\_pre\_topc~X0)~(k1\_zfmisc\_1~\\
(k1\_zfmisc\_1~(u1\_struct\_0~X0))))\end{array}
\label{hyp:egehpffhbdpfahchfgpfehpgahdg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((l1\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~X1)){\unicdbdjdcd}(\\
{\unicdcdadad} X2 .  (m3\_yellow\_9~X2~X0~X1){\unicdbdjdcd}((v2\_pre\_topc~X2){\unicdcdcdhd}(l1\_pre\_topc~\\
X2)))\end{array}
\label{hyp:egehpfngddpfjhfgmgmgpghhpfjd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_pre\_topc~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m2\_yellow\_9~X1~X0){\unicdbdjdcd}\\
((v2\_pre\_topc~X1){\unicdcdcdhd}(l1\_pre\_topc~X1)))\end{array}
\label{hyp:egehpfngcdpfjhfgmgmgpghhpfjd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~(k1\_zfmisc\_1~\\
X0))){\unicdbdjdcd}(m1\_subset\_1~(k2\_cantor\_1~X0~X1)~(k1\_zfmisc\_1~(k1\_zfmisc\_1~\\
X0)))\end{array}
\label{hyp:egehpflgcdpfdgbgogehpgchpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_pre\_topc~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (l1\_pre\_topc~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
((v2\_pre\_topc~X2){\unicdcdcdhd}(l1\_pre\_topc~X2)){\unicdbdjdcd}((m3\_yellow\_9~X2~X0~X1){\unicdbdjded}\\
((u1\_struct\_0~X2=k2\_xboole\_0~(u1\_struct\_0~X0)~(u1\_struct\_0~X1)){\unicdcdcdhd}\\
((v1\_tops\_2~(k2\_xboole\_0~(u1\_pre\_topc~X0)~(u1\_pre\_topc~X1))~X2){\unicdcdcdhd}\\
((v2\_cantor\_1~(k2\_xboole\_0~(u1\_pre\_topc~X0)~(u1\_pre\_topc~X1))~\\
X2){\unicdcdcdhd}(m1\_subset\_1~(k2\_xboole\_0~(u1\_pre\_topc~X0)~(u1\_pre\_topc~\\
X1))~(k1\_zfmisc\_1~(k1\_zfmisc\_1~(u1\_struct\_0~X2))))))))))\end{array}
\label{hyp:eggdpfjhfgmgmgpghhpfjd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_pre\_topc~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v2\_pre\_topc~X1){\unicdcdcdhd}(\\
l1\_pre\_topc~X1)){\unicdbdjdcd}((m2\_yellow\_9~X1~X0){\unicdbdjded}((u1\_struct\_0~X0=u1\_struct\_0~\\
X1){\unicdcdcdhd}(r1\_tarski~(u1\_pre\_topc~X0)~(u1\_pre\_topc~X1)))))\end{array}
\label{hyp:egfdpfjhfgmgmgpghhpfjd}
\end{equation}
\begin{theorem}\label{thm:ehcdcdpfhhbgjhcgfgmgdddd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v2\_pre\_topc~X1){\unicdcdcdhd}(l1\_pre\_topc~X1)){\unicdbdjdcd}({\unicdcdadad} X2 .  ((\preoh v2\_struct\_0~\\
X2){\unicdcdcdhd}((v2\_pre\_topc~X2){\unicdcdcdhd}(l1\_pre\_topc~X2))){\unicdbdjdcd}(((m2\_yellow\_9~X2~\\
X0){\unicdcdcdhd}(m2\_yellow\_9~X2~X1)){\unicdbdjdcd}({\unicdcdadad} X3 .  (m3\_yellow\_9~X3~X0~X1){\unicdbdjdcd}(\\
m2\_yellow\_9~X2~X3)))))\end{array}$$
\end{theorem}
\end{document}
