\documentclass{article}
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\newtheorem{conjecture}{Conjecture}
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\begin{document}
\title{l5\_comptrig (TMaf5r5ENM6KNJUxt5ZEosVGE5P2Ar2sViD)}
\maketitle
Let $ k32\_sin\_cos : {\iota}$ be given.
Let $ k2\_rcomp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ np\_\_4 : {\iota}$ be given.
Let $ k31\_sin\_cos : {\iota}$ be given.
Let $ v1\_xreal\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_seq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k29\_sin\_cos : {\iota}$ be given.
Let $ k6\_real\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Assume the following.
\begin{equation}
{{k32\_sin\_cos}={k31\_sin\_cos}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgddcdpfdhjgogpfdgpgdh}
\end{equation}
Assume the following.
\begin{equation}
{{v1\_xreal\_0}~{k31\_sin\_cos}}\label{hyp:egehpflgddbdpfdhjgogpfdgpgdh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_xreal\_0~X0){\unicdbdjdcd}((X0=k31\_sin\_cos){\unicdbdjded}((k1\_seq\_1~k29\_sin\_cos~\\
(k6\_real\_1~X0~np\_\_4)=np\_\_1){\unicdcdcdhd}(X0 \in k2\_rcomp\_1~k6\_numbers~np\_\_4)))\end{array}
\label{hyp:egcdidpfdhjgogpfdgpgdh}
\end{equation}
\begin{theorem}\label{thm:mgfdpfdgpgngahehchjghg}
${{k32\_sin\_cos} \in {{{k2\_rcomp\_1}~{k6\_numbers}}~{np\_\_4}}}$.
\end{theorem}
\end{document}
