\documentclass{article}
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\newtheorem{proposition}{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\newcommand\unicdcdidid{\not\subseteq}
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\begin{document}
\title{t2\_necklace (TMZrXeLaRxitsnYaR2dFKo4sHm92PUu6ZEG)}
\maketitle
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_enumset1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k7\_enumset1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}}}}}$ be given.
Let $ k4\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k3\_enumset1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}$ be given.
Let $ k2\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_enumset1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  k3\_enumset1~\\
X0~X1~X2~X3~X4=k2\_xboole\_0~(k1\_enumset1~X0~X1~X2)~(k2\_tarski~X3~X4)\end{array}
\label{hyp:ehjdpffgogfhngdhfgehbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  k2\_zfmisc\_1~(k2\_xboole\_0~\\
X0~X1)~(k2\_xboole\_0~X2~X3)=k2\_xboole\_0~(k2\_xboole\_0~(k2\_xboole\_0~\\
(k2\_zfmisc\_1~X0~X2)~(k2\_zfmisc\_1~X0~X3))~(k2\_zfmisc\_1~X1~X2))~(k2\_zfmisc\_1~\\
X1~X3)\end{array}
\label{hyp:ehjdidpfkhggngjgdhdgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  \\
{\unicdcdadad} X6 .  {\unicdcdadad} X7 .  {\unicdcdadad} X8 .  k7\_enumset1~X0~X1~X2~X3~X4~X5~X6~\\
X7~X8=k2\_xboole\_0~(k3\_enumset1~X0~X1~X2~X3~X4)~(k2\_enumset1~X5~X6~\\
X7~X8)\end{array}
\label{hyp:ehidbdpffgogfhngdhfgehbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  \\
{\unicdcdadad} X6 .  {\unicdcdadad} X7 .  {\unicdcdadad} X8 .  k7\_enumset1~X0~X1~X2~X3~X4~X5~X6~\\
X7~X8=k2\_xboole\_0~(k2\_enumset1~X0~X1~X2~X3)~(k3\_enumset1~X4~X5~X6~\\
X7~X8)\end{array}
\label{hyp:ehidadpffgogfhngdhfgehbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  k2\_enumset1~X0~X1~\\
X2~X3=k2\_xboole\_0~(k2\_tarski~X0~X1)~(k2\_tarski~X2~X3)\end{array}
\label{hyp:ehfdpffgogfhngdhfgehbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  k1\_enumset1~X0~X1~X2=k1\_enumset1~\\
X1~X2~X0\end{array}
\label{hyp:ehfdjdpffgogfhngdhfgehbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (k2\_zfmisc\_1~(k1\_tarski~X0)~\\
(k2\_tarski~X1~X2)=k2\_tarski~(k4\_tarski~X0~X1)~(k4\_tarski~X0~X2)){\unicdcdcdhd}\\
(k2\_zfmisc\_1~(k2\_tarski~X0~X1)~(k1\_tarski~X2)=k2\_tarski~(k4\_tarski~\\
X0~X2)~(k4\_tarski~X1~X2))\end{array}
\label{hyp:ehddadpfkhggngjgdhdgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  k1\_enumset1~X0~X1~X2=k2\_xboole\_0~\\
(k1\_tarski~X0)~(k2\_tarski~X1~X2)\end{array}
\label{hyp:ehcdpffgogfhngdhfgehbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  k2\_zfmisc\_1~(k1\_tarski~X0)~(k1\_tarski~X1)=\\
k1\_tarski~(k4\_tarski~X0~X1)\end{array}
\label{hyp:ehcdjdpfkhggngjgdhdgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (k2\_zfmisc\_1~(k2\_tarski~X0~X1)~\\
X2=k2\_xboole\_0~(k2\_zfmisc\_1~(k1\_tarski~X0)~X2)~(k2\_zfmisc\_1~(\\
k1\_tarski~X1)~X2)){\unicdcdcdhd}(k2\_zfmisc\_1~X2~(k2\_tarski~X0~X1)=k2\_xboole\_0~\\
(k2\_zfmisc\_1~X2~(k1\_tarski~X0))~(k2\_zfmisc\_1~X2~(k1\_tarski~X1)))\end{array}
\label{hyp:ehbdadjdpfkhggngjgdhdgpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{{{k2\_tarski}~{X0}}~{X1}}={{{k2\_tarski}~{X1}}~{X0}}}}}\label{hyp:dgpgngngfhehbgehjgghjgehjhpflgcdpfehbgchdhlgjg}
\end{equation}
\begin{theorem}\label{thm:ehcdpfogfgdglgmgbgdgfg}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  \\
k2\_zfmisc\_1~(k1\_enumset1~X0~X1~X2)~(k1\_enumset1~X3~X4~X5)=k7\_enumset1~\\
(k4\_tarski~X0~X3)~(k4\_tarski~X0~X4)~(k4\_tarski~X0~X5)~(k4\_tarski~\\
X1~X3)~(k4\_tarski~X1~X4)~(k4\_tarski~X1~X5)~(k4\_tarski~X2~X3)~(k4\_tarski~\\
X2~X4)~(k4\_tarski~X2~X5)\end{array}$$
\end{theorem}
\end{document}
