\documentclass{article}
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\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
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\begin{document}
\title{l22\_sincos10 (TMbtTc2qLGxByu4ewNcE3Cc2MUgMG9Qd2bd)}
\maketitle
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_rcomp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ k10\_real\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k32\_sin\_cos : {\iota}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ k1\_relset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_numbers : {\iota}$ be given.
Let $ k1\_fdiff\_9 : {\iota}$ be given.
Let $ k3\_rcomp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
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}r1\_tarski~(k3\_rcomp\_1~k6\_numbers~(k10\_real\_1~k32\_sin\_cos~np\_\_2))~\\
(k1\_relset\_1~k1\_numbers~k1\_fdiff\_9)\end{array}
\label{hyp:ehbdpfdhjgogdgpgdhbdad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}r1\_tarski~(k2\_rcomp\_1~k6\_numbers~(k10\_real\_1~k32\_sin\_cos~np\_\_2))~\\
(k3\_rcomp\_1~k6\_numbers~(k10\_real\_1~k32\_sin\_cos~np\_\_2))\end{array}
\label{hyp:mgcdbdpfdhjgogdgpgdhbdad}
\end{equation}
\begin{theorem}\label{thm:mgcdcdpfdhjgogdgpgdhbdad}
$$\begin{array}{c}r1\_tarski~(k2\_rcomp\_1~k6\_numbers~(k10\_real\_1~k32\_sin\_cos~np\_\_2))~\\
(k1\_relset\_1~k1\_numbers~k1\_fdiff\_9)\end{array}$$
\end{theorem}
\end{document}
