\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}
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\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t4\_abcmiz\_0 (TMS49CSPE6dsiFpcriPBxCJhqqShHmLNeYH)}
\maketitle
Let $ l1\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ u1\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_funct\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ u2\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v4\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v6\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_abcmiz\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (m1\_subset\_1~X0~X1){\unicdbdjdcd}((v1\_xboole\_0~X1){\unicdcdcdid}\\
(X0 \in X1))\end{array}
\label{hyp:ehcdpfdhfhcgdhfgeh}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{X0} \in {X1}})}{\unicdbdjdcd}{({{{m1\_subset\_1}~{X0}}~{X1}})}}}}\label{hyp:ehbdpfdhfhcgdhfgeh}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {\preoh{{{v1\_xboole\_0}~{({{{k2\_tarski}~{X0}}~{X1}})}}}}}}\label{hyp:ggdgddpfihcgpgpgmgfgpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_abcmiz\_0~X0){\unicdbdjdcd}((v6\_abcmiz\_0~X0){\unicdbdjded}({\unicdcdadad} X1 .  (\\
m1\_subset\_1~X1~(u1\_abcmiz\_0~X0)){\unicdbdjdcd}(k1\_abcmiz\_0~X0~X1{\unicdcdgdad}X1)))\end{array}
\label{hyp:eghdpfbgcgdgngjgkhpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_abcmiz\_0~X0){\unicdbdjdcd}((v5\_abcmiz\_0~X0){\unicdbdjded}({\unicdcdadad} X1 .  (\\
m1\_subset\_1~X1~(u1\_abcmiz\_0~X0)){\unicdbdjdcd}(k1\_abcmiz\_0~X0~(k1\_abcmiz\_0~\\
X0~X1)=X1)))\end{array}
\label{hyp:eggdpfbgcgdgngjgkhpfad}
\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 .  (l1\_abcmiz\_0~X0){\unicdbdjdcd}((v4\_abcmiz\_0~X0){\unicdbdjded}(v1\_xboole\_0~\\
(u1\_abcmiz\_0~X0)))\end{array}
\label{hyp:egedpfbgcgdgngjgkhpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (X2=k2\_tarski~X0~X1){\unicdbdjded}({\unicdcdadad} X3 .  \\
(X3 \in X2){\unicdbdjded}((X3=X0){\unicdcdcdid}(X3=X1)))\end{array}
\label{hyp:egcdpfehbgchdhlgjg}
\end{equation}
\begin{theorem}\label{thm:ehedpfbgcgdgngjgkhpfad}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (X0{\unicdcdgdad}X1){\unicdbdjdcd}({\unicdcdadad} X2 .  (l1\_abcmiz\_0~X2){\unicdbdjdcd}\\
(((u1\_abcmiz\_0~X2=k2\_tarski~X0~X1){\unicdcdcdhd}((k1\_funct\_1~(u2\_abcmiz\_0~\\
X2)~X0=X1){\unicdcdcdhd}(k1\_funct\_1~(u2\_abcmiz\_0~X2)~X1=X0))){\unicdbdjdcd}((\preoh v4\_abcmiz\_0~\\
X2){\unicdcdcdhd}((v5\_abcmiz\_0~X2){\unicdcdcdhd}(v6\_abcmiz\_0~X2)))))\end{array}$$
\end{theorem}
\end{document}
