\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{t35\_tmap\_1 (TMLHgDATYzoH6gBikTqoEZ9pjrjG2NovF6s)}
\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 $ r1\_tsep\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_tsep\_1 : {{\iota}{\unicdbdjdcd}{{\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 .  ((\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 .  \\
((\preoh v2\_struct\_0~X3){\unicdcdcdhd}(m1\_pre\_topc~X3~X0)){\unicdbdjdcd}((\preoh (\preoh r1\_tsep\_1~(k1\_tsep\_1~\\
X0~X1~X2)~X3){\unicdcdcdhd}((r1\_tsep\_1~X1~X3){\unicdcdcdhd}(r1\_tsep\_1~X2~X3))){\unicdcdcdhd}((\preoh (\preoh (r1\_tsep\_1~\\
X1~X3){\unicdcdcdhd}(r1\_tsep\_1~X2~X3)){\unicdcdcdhd}(r1\_tsep\_1~(k1\_tsep\_1~X0~X1~X2)~X3)){\unicdcdcdhd}\\
((\preoh (\preoh r1\_tsep\_1~X3~(k1\_tsep\_1~X0~X1~X2)){\unicdcdcdhd}((r1\_tsep\_1~X3~X1){\unicdcdcdhd}(r1\_tsep\_1~\\
X3~X2))){\unicdcdcdhd}(\preoh (\preoh (r1\_tsep\_1~X3~X1){\unicdcdcdhd}(r1\_tsep\_1~X3~X2)){\unicdcdcdhd}(r1\_tsep\_1~\\
X3~(k1\_tsep\_1~X0~X1~X2)))))))))\end{array}
\label{hyp:ehddedpfehngbgahpfbd}
\end{equation}
\begin{theorem}\label{thm:ehddfdpfehngbgahpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}(m1\_pre\_topc~X1~X0)){\unicdbdjdcd}(\\
{\unicdcdadad} X2 .  ((\preoh v2\_struct\_0~X2){\unicdcdcdhd}(m1\_pre\_topc~X2~X0)){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
((\preoh v2\_struct\_0~X3){\unicdcdcdhd}(m1\_pre\_topc~X3~X0)){\unicdbdjdcd}(((r1\_tsep\_1~(k1\_tsep\_1~\\
X0~X1~X2)~X3){\unicdbdjdcd}((r1\_tsep\_1~X1~X3){\unicdcdcdhd}(r1\_tsep\_1~X2~X3))){\unicdcdcdhd}((((r1\_tsep\_1~\\
X1~X3){\unicdcdcdhd}(r1\_tsep\_1~X2~X3)){\unicdbdjdcd}(r1\_tsep\_1~(k1\_tsep\_1~X0~X1~X2)~X3)){\unicdcdcdhd}\\
(((r1\_tsep\_1~X3~(k1\_tsep\_1~X0~X1~X2)){\unicdbdjdcd}((r1\_tsep\_1~X3~X1){\unicdcdcdhd}(r1\_tsep\_1~\\
X3~X2))){\unicdcdcdhd}(((r1\_tsep\_1~X3~X1){\unicdcdcdhd}(r1\_tsep\_1~X3~X2)){\unicdbdjdcd}(r1\_tsep\_1~X3~\\
(k1\_tsep\_1~X0~X1~X2)))))))))\end{array}$$
\end{theorem}
\end{document}
