\documentclass{article}
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\newtheorem{conjecture}{Conjecture}
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\begin{document}
\title{l23\_nagata\_2 (TMajPiP6uYZhRuDZoZ3tdwpZomce7n6q1Nf)}
\maketitle
Let $ k2\_tops\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ k1\_nagata\_2 : {\iota}$ be given.
Let $ k2\_funct\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v3\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
{{{{v3\_funct\_2}~{k1\_nagata\_2}}~{({{{k2\_zfmisc\_1}~{k5\_numbers}}~{k5\_numbers}})}}~{k5\_numbers}}\label{hyp:ehcdpfogbghgbgehbgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}(v1\_funct\_1~k1\_nagata\_2){\unicdcdcdhd}((v1\_funct\_2~k1\_nagata\_2~(k2\_zfmisc\_1~\\
k5\_numbers~k5\_numbers)~k5\_numbers){\unicdcdcdhd}(m1\_subset\_1~k1\_nagata\_2~\\
(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k2\_zfmisc\_1~k5\_numbers~k5\_numbers)~\\
k5\_numbers))))\end{array}
\label{hyp:egehpflgbdpfogbghgbgehbgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((v1\_funct\_1~X2){\unicdcdcdhd}((v1\_funct\_2~\\
X2~X0~X1){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~X1))))){\unicdbdjdcd}\\
((v3\_funct\_2~X2~X0~X1){\unicdbdjdcd}(k2\_tops\_2~X0~X1~X2=k2\_funct\_1~X2))\end{array}
\label{hyp:egedpfehpgahdhpfcd}
\end{equation}
\begin{theorem}\label{thm:mgcdddpfogbghgbgehbgpfcd}
$$\begin{array}{c}k2\_tops\_2~(k2\_zfmisc\_1~k5\_numbers~k5\_numbers)~k5\_numbers~k1\_nagata\_2=\\
k2\_funct\_1~k1\_nagata\_2\end{array}$$
\end{theorem}
\end{document}
