\documentclass{article}
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\newtheorem{conjecture}{Conjecture}
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\begin{document}
\title{t46\_quatern2 (TMLmADAwiuxVQ44fHZvv3mPwf5UtngmXhFo)}
\maketitle
Let $ k3\_quatern2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k5\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k16\_quatern2 : {\iota}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ k32\_quaterni : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k22\_quaterni : {\iota}$ be given.
Let $ k2\_quatern2 : {\iota}$ be given.
Let $ v1\_quaterni : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
{{{k32\_quaterni}~{k22\_quaterni}}={np\_\_1}}\label{hyp:ehgdidpfbhfhbgehfgchogjg}
\end{equation}
Assume the following.
\begin{equation}
{{{k5\_struct\_0}~{k16\_quatern2}}={k2\_quatern2}}\label{hyp:ehddhdpfbhfhbgehfgchogcd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_quaterni}~{X0}})}{\unicdbdjdcd}{({{{k3\_quatern2}~{X0}}={{k32\_quaterni}~{X0}}})}}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgddpfbhfhbgehfgchogcd}
\end{equation}
Assume the following.
\begin{equation}
{{k2\_quatern2}={k22\_quaterni}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgcdpfbhfhbgehfgchogcd}
\end{equation}
Assume the following.
\begin{equation}
{{v1\_quaterni}~{k22\_quaterni}}\label{hyp:egehpflgcdcdpfbhfhbgehfgchogjg}
\end{equation}
\begin{theorem}\label{thm:ehedgdpfbhfhbgehfgchogcd}
${{{k3\_quatern2}~{({{k5\_struct\_0}~{k16\_quatern2}})}}={np\_\_1}}$.
\end{theorem}
\end{document}
