\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{t17\_abcmiz\_0 (TMSPhMpSFTxDDPr5xWETgB5AZ1mdu2Awtwc)}
\maketitle
Let $ l2\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ g2\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_orders\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u2\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u3\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v10\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ 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 $ k5\_finsub\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ l1\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_funct\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_finsub\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l2\_abcmiz\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (l2\_abcmiz\_0~X1){\unicdbdjdcd}((\\
g2\_abcmiz\_0~(u1\_struct\_0~X0)~(u1\_abcmiz\_0~X0)~(u1\_orders\_2~X0)~\\
(u2\_abcmiz\_0~X0)~(u3\_abcmiz\_0~X0)=g2\_abcmiz\_0~(u1\_struct\_0~X1)~\\
(u1\_abcmiz\_0~X1)~(u1\_orders\_2~X1)~(u2\_abcmiz\_0~X1)~(u3\_abcmiz\_0~\\
X1)){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(u1\_abcmiz\_0~X0)){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
(m1\_subset\_1~X3~(u1\_abcmiz\_0~X1)){\unicdbdjdcd}((X2=X3){\unicdbdjdcd}(k3\_abcmiz\_0~X0~X2=\\
k3\_abcmiz\_0~X1~X3))))))\end{array}
\label{hyp:ehbdbdpfbgcgdgngjgkhpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  ((m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~X0))){\unicdcdcdhd}(((v1\_funct\_1~X3){\unicdcdcdhd}((v1\_funct\_2~\\
X3~X1~X1){\unicdcdcdhd}(m1\_subset\_1~X3~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X1~X1))))){\unicdcdcdhd}\\
((v1\_funct\_1~X4){\unicdcdcdhd}((v1\_funct\_2~X4~X0~(k5\_finsub\_1~X1)){\unicdcdcdhd}(m1\_subset\_1~\\
X4~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~(k5\_finsub\_1~X1)))))))){\unicdbdjdcd}({\unicdcdadad} X5 .  \\
{\unicdcdadad} X6 .  {\unicdcdadad} X7 .  {\unicdcdadad} X8 .  {\unicdcdadad} X9 .  (g2\_abcmiz\_0~X0~X1~\\
X2~X3~X4=g2\_abcmiz\_0~X5~X6~X7~X8~X9){\unicdbdjdcd}((X0=X5){\unicdcdcdhd}((X1=X6){\unicdcdcdhd}((X2=X7){\unicdcdcdhd}\\
((X3=X8){\unicdcdcdhd}(X4=X9))))))\end{array}
\label{hyp:ggchfgfgpfhgcdpfbgcgdgngjgkhpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l2\_abcmiz\_0~X0){\unicdbdjdcd}((v1\_funct\_1~(u3\_abcmiz\_0~X0)){\unicdcdcdhd}\\
((v1\_funct\_2~(u3\_abcmiz\_0~X0)~(u1\_struct\_0~X0)~(k5\_finsub\_1~(\\
u1\_abcmiz\_0~X0))){\unicdcdcdhd}(m1\_subset\_1~(u3\_abcmiz\_0~X0)~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~(u1\_struct\_0~X0)~(k5\_finsub\_1~(u1\_abcmiz\_0~X0)))))))\end{array}
\label{hyp:egehpffhddpfbgcgdgngjgkhpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_abcmiz\_0~X0){\unicdbdjdcd}((v1\_funct\_1~(u2\_abcmiz\_0~X0)){\unicdcdcdhd}\\
((v1\_funct\_2~(u2\_abcmiz\_0~X0)~(u1\_abcmiz\_0~X0)~(u1\_abcmiz\_0~X0)){\unicdcdcdhd}\\
(m1\_subset\_1~(u2\_abcmiz\_0~X0)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(u1\_abcmiz\_0~\\
X0)~(u1\_abcmiz\_0~X0))))))\end{array}
\label{hyp:egehpffhcdpfbgcgdgngjgkhpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_orders\_2~X0){\unicdbdjdcd}(m1\_subset\_1~(u1\_orders\_2~X0)~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~(u1\_struct\_0~X0)~(u1\_struct\_0~X0))))\end{array}
\label{hyp:egehpffhbdpfpgchegfgchdhpfcd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{l2\_abcmiz\_0}~{X0}})}{\unicdbdjdcd}{({{({{l1\_orders\_2}~{X0}})}{\unicdcdcdhd}{({{l1\_abcmiz\_0}~{X0}})}})}}}\label{hyp:egehpfmgcdpfbgcgdgngjgkhpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((l1\_abcmiz\_0~X0){\unicdcdcdhd}(m1\_subset\_1~X1~(u1\_abcmiz\_0~\\
X0))){\unicdbdjdcd}(m1\_subset\_1~(k1\_abcmiz\_0~X0~X1)~(u1\_abcmiz\_0~X0))\end{array}
\label{hyp:egehpflgbdpfbgcgdgngjgkhpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_abcmiz\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u1\_abcmiz\_0~\\
X0)){\unicdbdjdcd}(k1\_abcmiz\_0~X0~X1=k1\_funct\_1~(u2\_abcmiz\_0~X0)~X1))\end{array}
\label{hyp:egfdpfbgcgdgngjgkhpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l2\_abcmiz\_0~X0){\unicdbdjdcd}((v10\_abcmiz\_0~X0){\unicdbdjded}({\unicdcdadad} X1 .  \\
(m1\_subset\_1~X1~(u1\_abcmiz\_0~X0)){\unicdbdjdcd}(\preoh v1\_xboole\_0~(k1\_finsub\_1~\\
(k1\_zfmisc\_1~(u1\_struct\_0~X0))~(k3\_abcmiz\_0~X0~X1)~(k3\_abcmiz\_0~\\
X0~(k1\_abcmiz\_0~X0~X1))))))\end{array}
\label{hyp:egbdedpfbgcgdgngjgkhpfad}
\end{equation}
\begin{theorem}\label{thm:ehbdhdpfbgcgdgngjgkhpfad}
$$\begin{array}{c}{\unicdcdadad} X0 .  (l2\_abcmiz\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (l2\_abcmiz\_0~X1){\unicdbdjdcd}((\\
(g2\_abcmiz\_0~(u1\_struct\_0~X0)~(u1\_abcmiz\_0~X0)~(u1\_orders\_2~X0)~\\
(u2\_abcmiz\_0~X0)~(u3\_abcmiz\_0~X0)=g2\_abcmiz\_0~(u1\_struct\_0~X1)~\\
(u1\_abcmiz\_0~X1)~(u1\_orders\_2~X1)~(u2\_abcmiz\_0~X1)~(u3\_abcmiz\_0~\\
X1)){\unicdcdcdhd}(v10\_abcmiz\_0~X0)){\unicdbdjdcd}(v10\_abcmiz\_0~X1)))\end{array}$$
\end{theorem}
\end{document}
