\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}
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\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{t117\_member\_1 (TMaD957BJuNuasHDhibjXKgxxkpki4DKyfS)}
\maketitle
Let $ v1\_membered : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k15\_member\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k13\_member\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k7\_member\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_membered~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v1\_membered~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(v1\_membered~X2){\unicdbdjdcd}({\unicdcdadad} X3 .  (v1\_membered~X3){\unicdbdjdcd}(((r1\_tarski~\\
X0~X1){\unicdcdcdhd}(r1\_tarski~X2~X3)){\unicdbdjdcd}(r1\_tarski~(k13\_member\_1~X0~X2)~(k13\_member\_1~\\
X1~X3))))))\end{array}
\label{hyp:ehjdbdpfngfgngcgfgchpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v1\_membered~X1){\unicdbdjdcd}((r1\_tarski~X0~X1){\unicdbdjdcd}(v1\_membered~\\
X0))\end{array}
\label{hyp:ehbdjdpfngfgngcgfgchfgeg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_membered~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v1\_membered~X1){\unicdbdjdcd}((\\
r1\_tarski~X0~X1){\unicdbdjdcd}(r1\_tarski~(k7\_member\_1~X0)~(k7\_member\_1~X1))))\end{array}
\label{hyp:mgddgdpfngfgngcgfgchpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_membered}~{X0}})}{\unicdbdjdcd}{({{v1\_membered}~{({{k7\_member\_1}~{X0}})}})}}}\label{hyp:egehpflghdpfngfgngcgfgchpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_membered~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v1\_membered~X1){\unicdbdjdcd}(k15\_member\_1~\\
X0~X1=k13\_member\_1~X0~(k7\_member\_1~X1)))\end{array}
\label{hyp:egbdcdpfngfgngcgfgchpfbd}
\end{equation}
\begin{theorem}\label{thm:ehbdbdhdpfngfgngcgfgchpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v1\_membered~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v1\_membered~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(v1\_membered~X2){\unicdbdjdcd}({\unicdcdadad} X3 .  (v1\_membered~X3){\unicdbdjdcd}(((r1\_tarski~\\
X0~X1){\unicdcdcdhd}(r1\_tarski~X2~X3)){\unicdbdjdcd}(r1\_tarski~(k15\_member\_1~X0~X2)~(k15\_member\_1~\\
X1~X3))))))\end{array}$$
\end{theorem}
\end{document}
