\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{t150\_glib\_001 (TMbePochLTxBQbfmzHGNkJTA4GtMosYP58H)}
\maketitle
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_finset\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_glib\_000 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_glib\_001 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m3\_glib\_001 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_glib\_000 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ be given.
Let $ k4\_glib\_001 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_abian : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ k3\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_funct\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k14\_glib\_001 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v3\_glib\_001 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_glib\_001 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k10\_glib\_001 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_relat\_1~X0){\unicdcdcdhd}((v4\_relat\_1~X0~k5\_numbers){\unicdcdcdhd}((v1\_funct\_1~\\
X0){\unicdcdcdhd}((v1\_finset\_1~X0){\unicdcdcdhd}(v1\_glib\_000~X0))))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m3\_glib\_001~\\
X1~X0){\unicdbdjdcd}({\unicdcdadad} X2 .  {\unicdcdadad} X3 .  ((v5\_glib\_001~X1~X0){\unicdcdcdhd}((r1\_glib\_000~\\
X0~(k4\_glib\_001~X0~X1)~X3~X2){\unicdcdcdhd}({\unicdcdadad} X4 .  ((\preoh v1\_abian~X4){\unicdcdcdhd}(m1\_subset\_1~\\
X4~k5\_numbers)){\unicdbdjdcd}(\preoh (\preoh r1\_xxreal\_0~X4~np\_\_1){\unicdcdcdhd}((r1\_xxreal\_0~X4~(\\
k3\_finseq\_1~X1)){\unicdcdcdhd}(k1\_funct\_1~X1~X4=X3)))))){\unicdbdjdcd}((X2 \in k14\_glib\_001~\\
X0~X1){\unicdcdcdid}(((\preoh v3\_glib\_001~X1~X0){\unicdcdcdhd}(v1\_glib\_001~X1~X0)){\unicdcdcdid}(v5\_glib\_001~\\
(k10\_glib\_001~X0~X1~X2)~X0)))))\end{array}
\label{hyp:mgbdadcdpfhgmgjgcgpfadadbd}
\end{equation}
\begin{theorem}\label{thm:ehbdfdadpfhgmgjgcgpfadadbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_relat\_1~X0){\unicdcdcdhd}((v4\_relat\_1~X0~k5\_numbers){\unicdcdcdhd}((v1\_funct\_1~\\
X0){\unicdcdcdhd}((v1\_finset\_1~X0){\unicdcdcdhd}(v1\_glib\_000~X0))))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v5\_glib\_001~\\
X1~X0){\unicdcdcdhd}(m3\_glib\_001~X1~X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  {\unicdcdadad} X3 .  ((r1\_glib\_000~\\
X0~(k4\_glib\_001~X0~X1)~X3~X2){\unicdcdcdhd}({\unicdcdadad} X4 .  ((\preoh v1\_abian~X4){\unicdcdcdhd}(m1\_subset\_1~\\
X4~k5\_numbers)){\unicdbdjdcd}(\preoh (\preoh r1\_xxreal\_0~X4~np\_\_1){\unicdcdcdhd}((r1\_xxreal\_0~X4~(\\
k3\_finseq\_1~X1)){\unicdcdcdhd}(k1\_funct\_1~X1~X4=X3))))){\unicdbdjdcd}((X2 \in k14\_glib\_001~\\
X0~X1){\unicdcdcdid}(((\preoh v3\_glib\_001~X1~X0){\unicdcdcdhd}(v1\_glib\_001~X1~X0)){\unicdcdcdid}(v5\_glib\_001~\\
(k10\_glib\_001~X0~X1~X2)~X0)))))\end{array}$$
\end{theorem}
\end{document}
