\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{t28\_yellow19 (TMTj9yaHvkG3ZpXBAG6xBrcPvVqTMgTWxDU)}
\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 $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v4\_pre\_topc : {{\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 $ k2\_struct\_0 : {{\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 $ 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 $ k2\_pre\_topc : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ 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~(k1\_zfmisc\_1~(u1\_struct\_0~\\
X0))){\unicdbdjdcd}((v4\_pre\_topc~X1~X0){\unicdbdjded}({\unicdcdadad} X2 .  ((\preoh v1\_xboole\_0~X2){\unicdcdcdhd}(\\
(v1\_subset\_1~X2~(u1\_struct\_0~(k3\_yellow\_1~(k2\_struct\_0~X0)))){\unicdcdcdhd}\\
((v2\_waybel\_0~X2~(k3\_yellow\_1~(k2\_struct\_0~X0))){\unicdcdcdhd}((v13\_waybel\_0~\\
X2~(k3\_yellow\_1~(k2\_struct\_0~X0))){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~\\
(u1\_struct\_0~(k3\_yellow\_1~(k2\_struct\_0~X0))))))))){\unicdbdjdcd}((X1 \in X2){\unicdbdjdcd}\\
({\unicdcdadad} X3 .  (m1\_subset\_1~X3~(u1\_struct\_0~X0)){\unicdbdjdcd}((r1\_waybel\_7~\\
X0~X2~X3){\unicdbdjdcd}(X3 \in X1)))))))\end{array}
\label{hyp:ehcdhdpfjhfgmgmgpghhbdjd}
\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 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~(u1\_struct\_0~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(u1\_struct\_0~X0)){\unicdbdjdcd}((X2 \in k2\_pre\_topc~\\
X0~X1){\unicdbdjded}({\unicdcdaddd} X3 .  ((\preoh v1\_xboole\_0~X3){\unicdcdcdhd}((v2\_waybel\_0~X3~(k3\_yellow\_1~\\
(k2\_struct\_0~X0))){\unicdcdcdhd}((v13\_waybel\_0~X3~(k3\_yellow\_1~(k2\_struct\_0~\\
X0))){\unicdcdcdhd}((v3\_waybel\_7~X3~(k3\_yellow\_1~(k2\_struct\_0~X0))){\unicdcdcdhd}(m1\_subset\_1~\\
X3~(k1\_zfmisc\_1~(u1\_struct\_0~(k3\_yellow\_1~(k2\_struct\_0~X0))))))))){\unicdcdcdhd}\\
((X1 \in X3){\unicdcdcdhd}(r2\_waybel\_7~X0~X3~X2))))))\end{array}
\label{hyp:ehcdgdpfjhfgmgmgpghhbdjd}
\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 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~(u1\_struct\_0~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(u1\_struct\_0~X0)){\unicdbdjdcd}((X2 \in k2\_pre\_topc~\\
X0~X1){\unicdbdjded}({\unicdcdaddd} X3 .  ((\preoh v1\_xboole\_0~X3){\unicdcdcdhd}((v1\_subset\_1~X3~(u1\_struct\_0~\\
(k3\_yellow\_1~(k2\_struct\_0~X0)))){\unicdcdcdhd}((v2\_waybel\_0~X3~(k3\_yellow\_1~\\
(k2\_struct\_0~X0))){\unicdcdcdhd}((v13\_waybel\_0~X3~(k3\_yellow\_1~(k2\_struct\_0~\\
X0))){\unicdcdcdhd}(m1\_subset\_1~X3~(k1\_zfmisc\_1~(u1\_struct\_0~(k3\_yellow\_1~\\
(k2\_struct\_0~X0))))))))){\unicdcdcdhd}((X1 \in X3){\unicdcdcdhd}(r1\_waybel\_7~X0~X3~X2))))))\end{array}
\label{hyp:ehcdfdpfjhfgmgmgpghhbdjd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_pre\_topc~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(u1\_struct\_0~X0))){\unicdbdjdcd}(((v4\_pre\_topc~X1~X0){\unicdbdjdcd}(k2\_pre\_topc~X0~X1=\\
X1)){\unicdcdcdhd}(((v2\_pre\_topc~X0){\unicdcdcdhd}(k2\_pre\_topc~X0~X1=X1)){\unicdbdjdcd}(v4\_pre\_topc~\\
X1~X0))))\end{array}
\label{hyp:ehcdcdpfahchfgpfehpgahdg}
\end{equation}
\begin{theorem}\label{thm:ehcdidpfjhfgmgmgpghhbdjd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~(u1\_struct\_0~\\
X0))){\unicdbdjdcd}((v4\_pre\_topc~X1~X0){\unicdbdjded}({\unicdcdadad} X2 .  ((\preoh v1\_xboole\_0~X2){\unicdcdcdhd}(\\
(v2\_waybel\_0~X2~(k3\_yellow\_1~(k2\_struct\_0~X0))){\unicdcdcdhd}((v13\_waybel\_0~\\
X2~(k3\_yellow\_1~(k2\_struct\_0~X0))){\unicdcdcdhd}((v3\_waybel\_7~X2~(k3\_yellow\_1~\\
(k2\_struct\_0~X0))){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~(u1\_struct\_0~\\
(k3\_yellow\_1~(k2\_struct\_0~X0))))))))){\unicdbdjdcd}((X1 \in X2){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
(m1\_subset\_1~X3~(u1\_struct\_0~X0)){\unicdbdjdcd}((r2\_waybel\_7~X0~X2~X3){\unicdbdjdcd}(X3 \in \\
X1)))))))\end{array}$$
\end{theorem}
\end{document}
