\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{t11\_glib\_000 (TMWfHAgyRz5AvYSgkJB1F3LWr2SQ4HdQvEG)}
\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 $ k6\_glib\_000 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k13\_glib\_000 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k1\_glib\_000 : {\iota}$ be given.
Let $ k7\_glib\_000 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_glib\_000 : {\iota}$ be given.
Let $ k8\_glib\_000 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_glib\_000 : {\iota}$ be given.
Let $ k9\_glib\_000 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_glib\_000 : {\iota}$ be given.
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_funct\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_ordinal1 : {\iota}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ np\_\_4 : {\iota}$ be given.
Let $ np\_\_3 : {\iota}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ np\_\_1 : {\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)))){\unicdbdjdcd}({\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (v7\_ordinal1~\\
X2){\unicdbdjdcd}(k1\_funct\_1~(k13\_glib\_000~X0~X2~X1)~X2=X1))\end{array}
\label{hyp:ehidpfhgmgjgcgpfadadad}
\end{equation}
Assume the following.
\begin{equation}
{{k5\_numbers}={k4\_ordinal1}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgfdpfogfhngcgfgchdh}
\end{equation}
Assume the following.
\begin{equation}
{{{m1\_subset\_1}~{k4\_glib\_000}}~{k5\_numbers}}\label{hyp:egehpflgedpfhgmgjgcgpfadadad}
\end{equation}
Assume the following.
\begin{equation}
{{{m1\_subset\_1}~{k3\_glib\_000}}~{k5\_numbers}}\label{hyp:egehpflgddpfhgmgjgcgpfadadad}
\end{equation}
Assume the following.
\begin{equation}
{{{m1\_subset\_1}~{k2\_glib\_000}}~{k5\_numbers}}\label{hyp:egehpflgcdpfhgmgjgcgpfadadad}
\end{equation}
Assume the following.
\begin{equation}
{{{m1\_subset\_1}~{k1\_glib\_000}}~{k5\_numbers}}\label{hyp:egehpflgbdpfhgmgjgcgpfadadad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (((v1\_relat\_1~X0){\unicdcdcdhd}((v4\_relat\_1~\\
X0~k5\_numbers){\unicdcdcdhd}((v1\_funct\_1~X0){\unicdcdcdhd}(v1\_finset\_1~X0)))){\unicdcdcdhd}(v7\_ordinal1~\\
X1)){\unicdbdjdcd}((v1\_relat\_1~(k13\_glib\_000~X0~X1~X2)){\unicdcdcdhd}((v4\_relat\_1~(k13\_glib\_000~\\
X0~X1~X2)~k5\_numbers){\unicdcdcdhd}((v1\_funct\_1~(k13\_glib\_000~X0~X1~X2)){\unicdcdcdhd}(v1\_finset\_1~\\
(k13\_glib\_000~X0~X1~X2)))))\end{array}
\label{hyp:egehpflgbdddpfhgmgjgcgpfadadad}
\end{equation}
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)))){\unicdbdjdcd}(k9\_glib\_000~X0=k1\_funct\_1~X0~k4\_glib\_000)\end{array}
\label{hyp:egjdpfhgmgjgcgpfadadad}
\end{equation}
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)))){\unicdbdjdcd}(k8\_glib\_000~X0=k1\_funct\_1~X0~k3\_glib\_000)\end{array}
\label{hyp:egidpfhgmgjgcgpfadadad}
\end{equation}
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)))){\unicdbdjdcd}(k7\_glib\_000~X0=k1\_funct\_1~X0~k2\_glib\_000)\end{array}
\label{hyp:eghdpfhgmgjgcgpfadadad}
\end{equation}
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)))){\unicdbdjdcd}(k6\_glib\_000~X0=k1\_funct\_1~X0~k1\_glib\_000)\end{array}
\label{hyp:eggdpfhgmgjgcgpfadadad}
\end{equation}
Assume the following.
\begin{equation}
{{k4\_glib\_000}={np\_\_4}}\label{hyp:egedpfhgmgjgcgpfadadad}
\end{equation}
Assume the following.
\begin{equation}
{{k3\_glib\_000}={np\_\_3}}\label{hyp:egddpfhgmgjgcgpfadadad}
\end{equation}
Assume the following.
\begin{equation}
{{k2\_glib\_000}={np\_\_2}}\label{hyp:egcdpfhgmgjgcgpfadadad}
\end{equation}
Assume the following.
\begin{equation}
{{k1\_glib\_000}={np\_\_1}}\label{hyp:egbdpfhgmgjgcgpfadadad}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{{m1\_subset\_1}~{X0}}~{k4\_ordinal1}})}{\unicdbdjdcd}{({{v7\_ordinal1}~{X0}})}}}\label{hyp:dgdgidpfpgchegjgogbgmgbd}
\end{equation}
\begin{theorem}\label{thm:ehbdbdpfhgmgjgcgpfadadad}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_relat\_1~X0){\unicdcdcdhd}((v4\_relat\_1~X0~k5\_numbers){\unicdcdcdhd}((v1\_funct\_1~\\
X0){\unicdcdcdhd}(v1\_finset\_1~X0)))){\unicdbdjdcd}({\unicdcdadad} X1 .  (k6\_glib\_000~(k13\_glib\_000~\\
X0~k1\_glib\_000~X1)=X1){\unicdcdcdhd}((k7\_glib\_000~(k13\_glib\_000~X0~k2\_glib\_000~\\
X1)=X1){\unicdcdcdhd}((k8\_glib\_000~(k13\_glib\_000~X0~k3\_glib\_000~X1)=X1){\unicdcdcdhd}\\
(k9\_glib\_000~(k13\_glib\_000~X0~k4\_glib\_000~X1)=X1))))\end{array}$$
\end{theorem}
\end{document}
