\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=}
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\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
\newcommand\unicdcdcdhd{\land}
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\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t18\_abcmiz\_0 (TMQv5Ne7r38baoRRM87Z4RoogjBF5gxM4Ee)}
\maketitle
Let $ v8\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l2\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ u1\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ l1\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (\preoh (\preoh r1\_xboole\_0~X0~X1){\unicdcdcdhd}({\unicdcdadad} X2 .  \preoh (X2 \in \\
X0){\unicdcdcdhd}(X2 \in X1))){\unicdcdcdhd}(\preoh ({\unicdcdaddd} X2 .  (X2 \in X0){\unicdcdcdhd}(X2 \in X1)){\unicdcdcdhd}(r1\_xboole\_0~\\
X0~X1))\end{array}
\label{hyp:ehddpfihcgpgpgmgfgpfad}
\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 .  ((l2\_abcmiz\_0~X0){\unicdcdcdhd}(m1\_subset\_1~X1~(u1\_abcmiz\_0~\\
X0))){\unicdbdjdcd}(m1\_subset\_1~(k3\_abcmiz\_0~X0~X1)~(k1\_zfmisc\_1~(u1\_struct\_0~\\
X0)))\end{array}
\label{hyp:egehpflgddpfbgcgdgngjgkhpfad}
\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 .  (l2\_abcmiz\_0~X0){\unicdbdjdcd}((v8\_abcmiz\_0~X0){\unicdbdjded}({\unicdcdadad} X1 .  (\\
m1\_subset\_1~X1~(u1\_struct\_0~X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~\\
(u1\_abcmiz\_0~X0)){\unicdbdjdcd}(\preoh (X2 \in k2\_abcmiz\_0~X0~X1){\unicdcdcdhd}(k1\_abcmiz\_0~X0~X2 \in \\
k2\_abcmiz\_0~X0~X1)))))\end{array}
\label{hyp:egjdpfbgcgdgngjgkhpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l2\_abcmiz\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u1\_abcmiz\_0~\\
X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(k1\_zfmisc\_1~(u1\_struct\_0~X0))){\unicdbdjdcd}\\
((X2=k3\_abcmiz\_0~X0~X1){\unicdbdjded}({\unicdcdadad} X3 .  (X3 \in X2){\unicdbdjded}({\unicdcdaddd} X4 .  (m1\_subset\_1~\\
X4~(u1\_struct\_0~X0)){\unicdcdcdhd}((X3=X4){\unicdcdcdhd}(X1 \in k2\_abcmiz\_0~X0~X4)))))))\end{array}
\label{hyp:egbdcdpfbgcgdgngjgkhpfad}
\end{equation}
\begin{theorem}\label{thm:ehbdidpfbgcgdgngjgkhpfad}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v8\_abcmiz\_0~X0){\unicdcdcdhd}(l2\_abcmiz\_0~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(m1\_subset\_1~X1~(u1\_abcmiz\_0~X0)){\unicdbdjdcd}(r1\_xboole\_0~(k3\_abcmiz\_0~\\
X0~X1)~(k3\_abcmiz\_0~X0~(k1\_abcmiz\_0~X0~X1))))\end{array}$$
\end{theorem}
\end{document}
