\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{t134\_tmap\_1 (TMFhQ5pSRRX4mUAT6pkiQvFS9i4neJURPc6)}
\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 $ v1\_borsuk\_1 : {{\iota}{\unicdbdjdcd}{{\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 $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v5\_pre\_topc : {{\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 $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ r2\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ be given.
Let $ k2\_tsep\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k3\_tmap\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}$ be given.
Let $ k10\_tmap\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}}$ be given.
Let $ k1\_tsep\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ r4\_tsep\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\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 .  ((v1\_borsuk\_1~X1~X0){\unicdcdcdhd}(m1\_pre\_topc~X1~X0)){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  ((v1\_borsuk\_1~X2~X0){\unicdcdcdhd}(m1\_pre\_topc~X2~X0)){\unicdbdjdcd}(r4\_tsep\_1~\\
X0~X1~X2)))\end{array}
\label{hyp:ehidadpfehdhfgahpfbd}
\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}((v2\_pre\_topc~X1){\unicdcdcdhd}(l1\_pre\_topc~\\
X1))){\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 r1\_tsep\_1~\\
X2~X3){\unicdbdjdcd}({\unicdcdadad} X4 .  ((v1\_funct\_1~X4){\unicdcdcdhd}((v1\_funct\_2~X4~(u1\_struct\_0~\\
X2)~(u1\_struct\_0~X1)){\unicdcdcdhd}((v5\_pre\_topc~X4~X2~X1){\unicdcdcdhd}(m1\_subset\_1~X4~\\
(k1\_zfmisc\_1~(k2\_zfmisc\_1~(u1\_struct\_0~X2)~(u1\_struct\_0~X1))))))){\unicdbdjdcd}\\
({\unicdcdadad} X5 .  ((v1\_funct\_1~X5){\unicdcdcdhd}((v1\_funct\_2~X5~(u1\_struct\_0~X3)~\\
(u1\_struct\_0~X1)){\unicdcdcdhd}((v5\_pre\_topc~X5~X3~X1){\unicdcdcdhd}(m1\_subset\_1~X5~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~(u1\_struct\_0~X3)~(u1\_struct\_0~X1))))))){\unicdbdjdcd}(((r2\_funct\_2~\\
(u1\_struct\_0~(k2\_tsep\_1~X0~X2~X3))~(u1\_struct\_0~X1)~(k3\_tmap\_1~\\
X0~X1~X2~(k2\_tsep\_1~X0~X2~X3)~X4)~(k3\_tmap\_1~X0~X1~X3~(k2\_tsep\_1~X0~X2~\\
X3)~X5)){\unicdcdcdhd}(r4\_tsep\_1~X0~X2~X3)){\unicdbdjdcd}((v1\_funct\_1~(k10\_tmap\_1~X0~X1~X2~\\
X3~X4~X5)){\unicdcdcdhd}((v1\_funct\_2~(k10\_tmap\_1~X0~X1~X2~X3~X4~X5)~(u1\_struct\_0~\\
(k1\_tsep\_1~X0~X2~X3))~(u1\_struct\_0~X1)){\unicdcdcdhd}((v5\_pre\_topc~(k10\_tmap\_1~\\
X0~X1~X2~X3~X4~X5)~(k1\_tsep\_1~X0~X2~X3)~X1){\unicdcdcdhd}(m1\_subset\_1~(k10\_tmap\_1~\\
X0~X1~X2~X3~X4~X5)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(u1\_struct\_0~(k1\_tsep\_1~\\
X0~X2~X3))~(u1\_struct\_0~X1))))))))))))))\end{array}
\label{hyp:ehbdddcdpfehngbgahpfbd}
\end{equation}
\begin{theorem}\label{thm:ehbdddedpfehngbgahpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((v2\_pre\_topc~X1){\unicdcdcdhd}(l1\_pre\_topc~\\
X1))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((\preoh v2\_struct\_0~X2){\unicdcdcdhd}((v1\_borsuk\_1~X2~X0){\unicdcdcdhd}(\\
m1\_pre\_topc~X2~X0))){\unicdbdjdcd}({\unicdcdadad} X3 .  ((\preoh v2\_struct\_0~X3){\unicdcdcdhd}((v1\_borsuk\_1~\\
X3~X0){\unicdcdcdhd}(m1\_pre\_topc~X3~X0))){\unicdbdjdcd}((\preoh r1\_tsep\_1~X2~X3){\unicdbdjdcd}({\unicdcdadad} X4 .  \\
((v1\_funct\_1~X4){\unicdcdcdhd}((v1\_funct\_2~X4~(u1\_struct\_0~X2)~(u1\_struct\_0~\\
X1)){\unicdcdcdhd}((v5\_pre\_topc~X4~X2~X1){\unicdcdcdhd}(m1\_subset\_1~X4~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(u1\_struct\_0~X2)~(u1\_struct\_0~X1))))))){\unicdbdjdcd}({\unicdcdadad} X5 .  ((v1\_funct\_1~\\
X5){\unicdcdcdhd}((v1\_funct\_2~X5~(u1\_struct\_0~X3)~(u1\_struct\_0~X1)){\unicdcdcdhd}((v5\_pre\_topc~\\
X5~X3~X1){\unicdcdcdhd}(m1\_subset\_1~X5~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(u1\_struct\_0~\\
X3)~(u1\_struct\_0~X1))))))){\unicdbdjdcd}((r2\_funct\_2~(u1\_struct\_0~(k2\_tsep\_1~\\
X0~X2~X3))~(u1\_struct\_0~X1)~(k3\_tmap\_1~X0~X1~X2~(k2\_tsep\_1~X0~X2~X3)~\\
X4)~(k3\_tmap\_1~X0~X1~X3~(k2\_tsep\_1~X0~X2~X3)~X5)){\unicdbdjdcd}((v1\_funct\_1~(k10\_tmap\_1~\\
X0~X1~X2~X3~X4~X5)){\unicdcdcdhd}((v1\_funct\_2~(k10\_tmap\_1~X0~X1~X2~X3~X4~X5)~(u1\_struct\_0~\\
(k1\_tsep\_1~X0~X2~X3))~(u1\_struct\_0~X1)){\unicdcdcdhd}((v5\_pre\_topc~(k10\_tmap\_1~\\
X0~X1~X2~X3~X4~X5)~(k1\_tsep\_1~X0~X2~X3)~X1){\unicdcdcdhd}(m1\_subset\_1~(k10\_tmap\_1~\\
X0~X1~X2~X3~X4~X5)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(u1\_struct\_0~(k1\_tsep\_1~\\
X0~X2~X3))~(u1\_struct\_0~X1))))))))))))))\end{array}$$
\end{theorem}
\end{document}
