\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\unicdcdidid{\not\subseteq}
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\begin{document}
\title{t26\_e\_siec (TMM6mz6y3kzrp4U1fArEeqp9hKiv9kPWXuH)}
\maketitle
Let $ v2\_e\_siec : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_e\_siec : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_e\_siec : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k3\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_relat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ u2\_e\_siec : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_relat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k10\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_e\_siec : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v1\_relat\_1~X1){\unicdbdjdcd}(k2\_relat\_1~\\
(k3\_relat\_1~X0~X1)=k3\_relat\_1~(k2\_relat\_1~X1)~(k2\_relat\_1~X0)))\end{array}
\label{hyp:ehddfdpfchfgmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_e\_siec~X0){\unicdcdcdhd}((v3\_e\_siec~X0){\unicdcdcdhd}(l1\_e\_siec~X0))){\unicdbdjdcd}\\
((k3\_relat\_1~(k4\_relat\_1~(k4\_xboole\_0~(u1\_struct\_0~X0)~(k10\_xtuple\_0~\\
(u2\_e\_siec~X0))))~(k4\_xboole\_0~(u2\_e\_siec~X0)~(k4\_relat\_1~(u1\_struct\_0~\\
X0)))=k4\_xboole\_0~(u2\_e\_siec~X0)~(k4\_relat\_1~(u1\_struct\_0~X0))){\unicdcdcdhd}\\
(k3\_relat\_1~(k4\_relat\_1~(k4\_xboole\_0~(u1\_struct\_0~X0)~(k10\_xtuple\_0~\\
(u1\_e\_siec~X0))))~(k4\_xboole\_0~(u1\_e\_siec~X0)~(k4\_relat\_1~(u1\_struct\_0~\\
X0)))=k4\_xboole\_0~(u1\_e\_siec~X0)~(k4\_relat\_1~(u1\_struct\_0~X0))))\end{array}
\label{hyp:ehcdddpffgpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{v1\_relat\_1}~{({{k4\_relat\_1}~{X0}})}}}\label{hyp:egehpflgedpfchfgmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{v1\_relat\_1}~{({{{k3\_relat\_1}~{X0}}~{X1}})}}}}\label{hyp:egehpflgddpfchfgmgbgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehcdgdpffgpfdhjgfgdg}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v2\_e\_siec~X0){\unicdcdcdhd}((v3\_e\_siec~X0){\unicdcdcdhd}(l1\_e\_siec~X0))){\unicdbdjdcd}\\
((k3\_relat\_1~(k2\_relat\_1~(k4\_xboole\_0~(u2\_e\_siec~X0)~(k4\_relat\_1~\\
(u1\_struct\_0~X0))))~(k2\_relat\_1~(k4\_relat\_1~(k4\_xboole\_0~(u1\_struct\_0~\\
X0)~(k10\_xtuple\_0~(u2\_e\_siec~X0)))))=k2\_relat\_1~(k4\_xboole\_0~\\
(u2\_e\_siec~X0)~(k4\_relat\_1~(u1\_struct\_0~X0)))){\unicdcdcdhd}(k3\_relat\_1~(\\
k2\_relat\_1~(k4\_xboole\_0~(u1\_e\_siec~X0)~(k4\_relat\_1~(u1\_struct\_0~\\
X0))))~(k2\_relat\_1~(k4\_relat\_1~(k4\_xboole\_0~(u1\_struct\_0~X0)~\\
(k10\_xtuple\_0~(u1\_e\_siec~X0)))))=k2\_relat\_1~(k4\_xboole\_0~(u1\_e\_siec~\\
X0)~(k4\_relat\_1~(u1\_struct\_0~X0)))))\end{array}$$
\end{theorem}
\end{document}
