\documentclass{article}
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\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}
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\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
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\begin{document}
\title{t5\_e\_siec (TMSNsrHsECtkqYDX7hree8QdzpKVzhcDW9z)}
\maketitle
Let $ v2\_e\_siec : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ g1\_e\_siec : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k4\_relat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v3\_e\_siec : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_e\_siec : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k3\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (r1\_tarski~(k4\_xboole\_0~X0~X1)~\\
X2){\unicdbdjdcd}(r1\_tarski~X0~(k2\_xboole\_0~X1~X2))\end{array}
\label{hyp:ehededpfihcgpgpgmgfgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v2\_e\_siec~(g1\_e\_siec~X0~(k4\_relat\_1~X0)~(k4\_relat\_1~\\
X0))){\unicdcdcdhd}((v3\_e\_siec~(g1\_e\_siec~X0~(k4\_relat\_1~X0)~(k4\_relat\_1~X0))){\unicdcdcdhd}\\
(l1\_e\_siec~(g1\_e\_siec~X0~(k4\_relat\_1~X0)~(k4\_relat\_1~X0))))\end{array}
\label{hyp:ehddpffgpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (k4\_xboole\_0~X0~X1=k1\_xboole\_0){\unicdbdjded}(r1\_tarski~\\
X0~X1)\end{array}
\label{hyp:ehddhdpfihcgpgpgmgfgpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{{r1\_tarski}~{({{{k4\_xboole\_0}~{X0}}~{X1}})}}~{X0}}}}\label{hyp:ehddgdpfihcgpgpgmgfgpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{r1\_tarski}~{k1\_xboole\_0}}~{X0}}}\label{hyp:ehcdpfihcgpgpgmgfgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((r1\_tarski~X0~X1){\unicdcdcdhd}(r1\_tarski~\\
X1~X2)){\unicdbdjdcd}(r1\_tarski~X0~X2)\end{array}
\label{hyp:ehbdpfihcgpgpgmgfgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v1\_relat\_1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  (v1\_relat\_1~\\
X2){\unicdbdjdcd}(((v2\_e\_siec~(g1\_e\_siec~X0~X1~X2)){\unicdcdcdhd}((v3\_e\_siec~(g1\_e\_siec~\\
X0~X1~X2)){\unicdcdcdhd}(l1\_e\_siec~(g1\_e\_siec~X0~X1~X2)))){\unicdbdjded}((r1\_tarski~X1~(k2\_zfmisc\_1~\\
X0~X0)){\unicdcdcdhd}((r1\_tarski~X2~(k2\_zfmisc\_1~X0~X0)){\unicdcdcdhd}((k3\_relat\_1~X1~X1=\\
X1){\unicdcdcdhd}((k3\_relat\_1~X1~X2=X1){\unicdcdcdhd}((k3\_relat\_1~X2~X2=X2){\unicdcdcdhd}((k3\_relat\_1~\\
X2~X1=X2){\unicdcdcdhd}((k3\_relat\_1~X1~(k4\_xboole\_0~X1~(k4\_relat\_1~X0))=k1\_xboole\_0){\unicdcdcdhd}\\
(k3\_relat\_1~X2~(k4\_xboole\_0~X2~(k4\_relat\_1~X0))=k1\_xboole\_0))))))))))\end{array}
\label{hyp:ehbdpffgpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (r1\_tarski~X0~X1){\unicdbdjdcd}(r1\_tarski~(k4\_relat\_1~\\
X0)~(k4\_relat\_1~X1))\end{array}
\label{hyp:ehbdfdpfdhjhdhchfgmg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{r1\_tarski}~{({{k4\_relat\_1}~{X0}})}}~{({{{k2\_zfmisc\_1}~{X0}}~{X0}})}}}\label{hyp:ehbdddpfchfgmgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{{r1\_tarski}~{X0}}~{X1}})}{\unicdbdjdcd}{({{{{k2\_xboole\_0}~{X0}}~{X1}}={X1}})}}}}\label{hyp:ehbdcdpfihcgpgpgmgfgpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{{k3\_relat\_1}~{({{k4\_relat\_1}~{X0}})}}~{({{k4\_relat\_1}~{X0}})}}={{k4\_relat\_1}~{X0}}}}\label{hyp:ehbdcdpfdhjhdhchfgmg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (k2\_zfmisc\_1~(k4\_xboole\_0~X0~\\
X1)~X2=k4\_xboole\_0~(k2\_zfmisc\_1~X0~X2)~(k2\_zfmisc\_1~X1~X2)){\unicdcdcdhd}(k2\_zfmisc\_1~\\
X2~(k4\_xboole\_0~X0~X1)=k4\_xboole\_0~(k2\_zfmisc\_1~X2~X0)~(k2\_zfmisc\_1~\\
X2~X1))\end{array}
\label{hyp:ehbdadcdpfkhggngjgdhdgpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{{r1\_tarski}~{X0}}~{X0}}}}\label{hyp:chfgggmgfgihjgghjgehjhpfchbdpfehbgchdhlgjg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{v1\_relat\_1}~{({{k4\_relat\_1}~{X0}})}}}\label{hyp:egehpflgedpfchfgmgbgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehfdpffgpfdhjgfgdg}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v2\_e\_siec~(g1\_e\_siec~X0~(k4\_relat\_1~(k4\_xboole\_0~\\
X0~X1))~(k4\_relat\_1~(k4\_xboole\_0~X0~X1)))){\unicdcdcdhd}((v3\_e\_siec~(g1\_e\_siec~\\
X0~(k4\_relat\_1~(k4\_xboole\_0~X0~X1))~(k4\_relat\_1~(k4\_xboole\_0~X0~\\
X1)))){\unicdcdcdhd}(l1\_e\_siec~(g1\_e\_siec~X0~(k4\_relat\_1~(k4\_xboole\_0~X0~X1))~\\
(k4\_relat\_1~(k4\_xboole\_0~X0~X1)))))\end{array}$$
\end{theorem}
\end{document}
