\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{t16\_tmap\_1 (TMFqEYGbcx16adefvvG15ZpgwRgwWpPHtNh)}
\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\_pre\_topc : {{\iota}{\unicdbdjdcd}{{\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 $ k1\_tsep\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ m1\_connsp\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v3\_pre\_topc : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_pre\_topc : {{\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~(k1\_zfmisc\_1~(u1\_struct\_0~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(u1\_struct\_0~X0)){\unicdbdjdcd}(((v3\_pre\_topc~\\
X1~X0){\unicdcdcdhd}(X2 \in X1)){\unicdbdjdcd}(m1\_connsp\_2~X1~X0~X2))))\end{array}
\label{hyp:ehddpfdgpgogogdhahpfcd}
\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}(m1\_pre\_topc~X1~X0)){\unicdbdjdcd}(\\
{\unicdcdadad} X2 .  ((\preoh v2\_struct\_0~X2){\unicdcdcdhd}(m1\_pre\_topc~X2~X0)){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
(m1\_subset\_1~X3~(u1\_struct\_0~(k1\_tsep\_1~X0~X1~X2))){\unicdbdjdcd}({\unicdcdadad} X4 .  \\
(m1\_subset\_1~X4~(u1\_struct\_0~X1)){\unicdbdjdcd}({\unicdcdadad} X5 .  (m1\_subset\_1~X5~\\
(u1\_struct\_0~X2)){\unicdbdjdcd}(((X4=X3){\unicdcdcdhd}(X5=X3)){\unicdbdjdcd}({\unicdcdadad} X6 .  (m1\_connsp\_2~\\
X6~X1~X4){\unicdbdjdcd}({\unicdcdadad} X7 .  (m1\_connsp\_2~X7~X2~X5){\unicdbdjdcd}({\unicdcdaddd} X8 .  (m1\_subset\_1~\\
X8~(k1\_zfmisc\_1~(u1\_struct\_0~(k1\_tsep\_1~X0~X1~X2)))){\unicdcdcdhd}((v3\_pre\_topc~\\
X8~(k1\_tsep\_1~X0~X1~X2)){\unicdcdcdhd}((X3 \in X8){\unicdcdcdhd}(r1\_tarski~X8~(k2\_xboole\_0~X6~\\
X7)))))))))))))\end{array}
\label{hyp:ehbdfdpfehngbgahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v2\_pre\_topc~\\
X0){\unicdcdcdhd}(l1\_pre\_topc~X0))){\unicdcdcdhd}(((\preoh v2\_struct\_0~X1){\unicdcdcdhd}(m1\_pre\_topc~X1~\\
X0)){\unicdcdcdhd}((\preoh v2\_struct\_0~X2){\unicdcdcdhd}(m1\_pre\_topc~X2~X0)))){\unicdbdjdcd}((\preoh v2\_struct\_0~\\
(k1\_tsep\_1~X0~X1~X2)){\unicdcdcdhd}((v1\_pre\_topc~(k1\_tsep\_1~X0~X1~X2)){\unicdcdcdhd}(v2\_pre\_topc~\\
(k1\_tsep\_1~X0~X1~X2))))\end{array}
\label{hyp:ggdgbdpfehngbgahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_pre\_topc~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_pre\_topc~X1~X0){\unicdbdjdcd}\\
(l1\_pre\_topc~X1))\end{array}
\label{hyp:egehpfngbdpfahchfgpfehpgahdg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l1\_pre\_topc~\\
X0)){\unicdcdcdhd}(((\preoh v2\_struct\_0~X1){\unicdcdcdhd}(m1\_pre\_topc~X1~X0)){\unicdcdcdhd}((\preoh v2\_struct\_0~\\
X2){\unicdcdcdhd}(m1\_pre\_topc~X2~X0)))){\unicdbdjdcd}((\preoh v2\_struct\_0~(k1\_tsep\_1~X0~X1~X2)){\unicdcdcdhd}\\
((v1\_pre\_topc~(k1\_tsep\_1~X0~X1~X2)){\unicdcdcdhd}(m1\_pre\_topc~(k1\_tsep\_1~X0~\\
X1~X2)~X0)))\end{array}
\label{hyp:egehpflgbdpfehdhfgahpfbd}
\end{equation}
\begin{theorem}\label{thm:ehbdgdpfehngbgahpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}(m1\_pre\_topc~X1~X0)){\unicdbdjdcd}(\\
{\unicdcdadad} X2 .  ((\preoh v2\_struct\_0~X2){\unicdcdcdhd}(m1\_pre\_topc~X2~X0)){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
(m1\_subset\_1~X3~(u1\_struct\_0~(k1\_tsep\_1~X0~X1~X2))){\unicdbdjdcd}({\unicdcdadad} X4 .  \\
(m1\_subset\_1~X4~(u1\_struct\_0~X1)){\unicdbdjdcd}({\unicdcdadad} X5 .  (m1\_subset\_1~X5~\\
(u1\_struct\_0~X2)){\unicdbdjdcd}(((X4=X3){\unicdcdcdhd}(X5=X3)){\unicdbdjdcd}({\unicdcdadad} X6 .  (m1\_connsp\_2~\\
X6~X1~X4){\unicdbdjdcd}({\unicdcdadad} X7 .  (m1\_connsp\_2~X7~X2~X5){\unicdbdjdcd}({\unicdcdaddd} X8 .  (m1\_connsp\_2~\\
X8~(k1\_tsep\_1~X0~X1~X2)~X3){\unicdcdcdhd}(r1\_tarski~X8~(k2\_xboole\_0~X6~X7)))))))))))\end{array}$$
\end{theorem}
\end{document}
