\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{t141\_abcmiz\_1 (TMbSEgCiUECJNSVVZX4GVaMt4QxVBzNaXEV)}
\maketitle
Let $ v1\_instalg1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_msualg\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k13\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_funct\_1 : {{\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 $ k2\_abcmiz\_1 : {\iota}$ be given.
Let $ k34\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k60\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k37\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v6\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k30\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k32\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k15\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k56\_abcmiz\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k7\_abcmiz\_1 : {\iota}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_instalg1~X0){\unicdcdcdhd}((v1\_abcmiz\_1~X0){\unicdcdcdhd}((v3\_abcmiz\_1~\\
X0){\unicdcdcdhd}(l1\_msualg\_1~X0)))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((\preoh v6\_abcmiz\_1~X1~X0){\unicdcdcdhd}(\\
m1\_abcmiz\_1~X1~X0~(k13\_abcmiz\_1~X0))){\unicdbdjdcd}(k30\_abcmiz\_1~X0~(k32\_abcmiz\_1~\\
X0)~(k37\_abcmiz\_1~X0~X1)=X1))\end{array}
\label{hyp:ehgdcdpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_instalg1~X0){\unicdcdcdhd}((v1\_abcmiz\_1~X0){\unicdcdcdhd}((v3\_abcmiz\_1~\\
X0){\unicdcdcdhd}(l1\_msualg\_1~X0)))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v6\_abcmiz\_1~X1~X0){\unicdcdcdhd}(m1\_abcmiz\_1~\\
X1~X0~(k13\_abcmiz\_1~X0))){\unicdbdjdcd}(k37\_abcmiz\_1~X0~X1=k30\_abcmiz\_1~X0~\\
(k32\_abcmiz\_1~X0)~X1))\end{array}
\label{hyp:ehfdjdpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_instalg1~X0){\unicdcdcdhd}((v1\_abcmiz\_1~X0){\unicdcdcdhd}((v3\_abcmiz\_1~\\
X0){\unicdcdcdhd}(l1\_msualg\_1~X0)))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_abcmiz\_1~X1~X0~(k13\_abcmiz\_1~\\
X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_abcmiz\_1~X2~X0~(k13\_abcmiz\_1~X0)){\unicdbdjdcd}((k30\_abcmiz\_1~\\
X0~(k15\_abcmiz\_1~X0)~X1=k30\_abcmiz\_1~X0~(k15\_abcmiz\_1~X0)~X2){\unicdbdjdcd}\\
(X1=X2))))\end{array}
\label{hyp:ehededpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_instalg1~X0){\unicdcdcdhd}((v1\_abcmiz\_1~X0){\unicdcdcdhd}((v3\_abcmiz\_1~\\
X0){\unicdcdcdhd}(l1\_msualg\_1~X0)))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_abcmiz\_1~X1~X0~(k13\_abcmiz\_1~\\
X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_funct\_1~X2){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~k2\_abcmiz\_1~(k34\_abcmiz\_1~X0))))){\unicdbdjdcd}(k56\_abcmiz\_1~\\
X0~X2~(k30\_abcmiz\_1~X0~(k32\_abcmiz\_1~X0)~X1)=k30\_abcmiz\_1~X0~(k32\_abcmiz\_1~\\
X0)~(k56\_abcmiz\_1~X0~X2~X1))))\end{array}
\label{hyp:ehbdddfdpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (((v1\_instalg1~X0){\unicdcdcdhd}((v1\_abcmiz\_1~\\
X0){\unicdcdcdhd}((v3\_abcmiz\_1~X0){\unicdcdcdhd}(l1\_msualg\_1~X0)))){\unicdcdcdhd}(((v1\_funct\_1~X1){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~k2\_abcmiz\_1~(k34\_abcmiz\_1~\\
X0))))){\unicdcdcdhd}(m1\_abcmiz\_1~X2~X0~(k13\_abcmiz\_1~X0)))){\unicdbdjdcd}(k60\_abcmiz\_1~\\
X0~X1~X2=k56\_abcmiz\_1~X0~X1~X2)\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpflggdadpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_instalg1~X0){\unicdcdcdhd}((v1\_abcmiz\_1~X0){\unicdcdcdhd}(l1\_msualg\_1~\\
X0))){\unicdbdjdcd}(k32\_abcmiz\_1~X0=k15\_abcmiz\_1~X0)\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpflgddcdpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (((v1\_instalg1~X0){\unicdcdcdhd}((v1\_abcmiz\_1~\\
X0){\unicdcdcdhd}((v3\_abcmiz\_1~X0){\unicdcdcdhd}(l1\_msualg\_1~X0)))){\unicdcdcdhd}(((v1\_funct\_1~X1){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~k2\_abcmiz\_1~(k34\_abcmiz\_1~\\
X0))))){\unicdcdcdhd}((v6\_abcmiz\_1~X2~X0){\unicdcdcdhd}(m1\_abcmiz\_1~X2~X0~(k13\_abcmiz\_1~\\
X0))))){\unicdbdjdcd}(v6\_abcmiz\_1~(k56\_abcmiz\_1~X0~X1~X2)~X0)\end{array}
\label{hyp:ggdgddhdpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (((v1\_instalg1~X0){\unicdcdcdhd}((v1\_abcmiz\_1~\\
X0){\unicdcdcdhd}((v3\_abcmiz\_1~X0){\unicdcdcdhd}(l1\_msualg\_1~X0)))){\unicdcdcdhd}(((v1\_funct\_1~X1){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~k2\_abcmiz\_1~(k34\_abcmiz\_1~\\
X0))))){\unicdcdcdhd}(m1\_abcmiz\_1~X2~X0~(k13\_abcmiz\_1~X0)))){\unicdbdjdcd}(m1\_abcmiz\_1~\\
(k60\_abcmiz\_1~X0~X1~X2)~X0~(k13\_abcmiz\_1~X0))\end{array}
\label{hyp:egehpflggdadpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((v1\_instalg1~X0){\unicdcdcdhd}((v1\_abcmiz\_1~X0){\unicdcdcdhd}\\
((v3\_abcmiz\_1~X0){\unicdcdcdhd}(l1\_msualg\_1~X0)))){\unicdcdcdhd}(m1\_abcmiz\_1~X1~X0~(k13\_abcmiz\_1~\\
X0))){\unicdbdjdcd}(m1\_abcmiz\_1~(k37\_abcmiz\_1~X0~X1)~X0~(k13\_abcmiz\_1~X0))\end{array}
\label{hyp:egehpflgddhdpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{k7\_abcmiz\_1}={np\_\_1}}\label{hyp:egfdpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_instalg1~X0){\unicdcdcdhd}((v1\_abcmiz\_1~X0){\unicdcdcdhd}((v3\_abcmiz\_1~\\
X0){\unicdcdcdhd}(l1\_msualg\_1~X0)))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_abcmiz\_1~X1~X0~(k13\_abcmiz\_1~\\
X0)){\unicdbdjdcd}((v6\_abcmiz\_1~X1~X0){\unicdbdjded}({\unicdcdadad} X2 .  (m1\_abcmiz\_1~X2~X0~(k13\_abcmiz\_1~\\
X0)){\unicdbdjdcd}(X1{\unicdcdgdad}k30\_abcmiz\_1~X0~(k32\_abcmiz\_1~X0)~X2))))\end{array}
\label{hyp:egddhdpfbgcgdgngjgkhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_instalg1~X0){\unicdcdcdhd}((v1\_abcmiz\_1~X0){\unicdcdcdhd}(l1\_msualg\_1~\\
X0))){\unicdbdjdcd}(k13\_abcmiz\_1~X0=k7\_abcmiz\_1)\end{array}
\label{hyp:egbdedpfbgcgdgngjgkhpfbd}
\end{equation}
\begin{theorem}\label{thm:ehbdedbdpfbgcgdgngjgkhpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_instalg1~X0){\unicdcdcdhd}((v1\_abcmiz\_1~X0){\unicdcdcdhd}((v3\_abcmiz\_1~\\
X0){\unicdcdcdhd}(l1\_msualg\_1~X0)))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_abcmiz\_1~X1~X0~(k13\_abcmiz\_1~\\
X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_funct\_1~X2){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~k2\_abcmiz\_1~(k34\_abcmiz\_1~X0))))){\unicdbdjdcd}(k60\_abcmiz\_1~\\
X0~X2~(k37\_abcmiz\_1~X0~X1)=k37\_abcmiz\_1~X0~(k60\_abcmiz\_1~X0~X2~X1))))\end{array}$$
\end{theorem}
\end{document}
