\documentclass{article}
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\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\begin{document}
\title{t9\_sincos10 (TMJp8Xm5RMcEicw38yKetSYitSdsC8bArUB)}
\maketitle
Let $ v1\_fcont\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k2\_partfun1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k1\_numbers : {\iota}$ be given.
Let $ k1\_fdiff\_9 : {\iota}$ 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 $ r2\_fdiff\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_fdiff\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_seq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k16\_sin\_cos : {\iota}$ be given.
Let $ k5\_square\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k19\_sin\_cos : {\iota}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}(r2\_fdiff\_1~k1\_fdiff\_9~(k2\_rcomp\_1~k6\_numbers~(k10\_real\_1~k32\_sin\_cos~\\
np\_\_2))){\unicdcdcdhd}({\unicdcdadad} X0 .  (m1\_subset\_1~X0~k1\_numbers){\unicdbdjdcd}((X0 \in k2\_rcomp\_1~\\
k6\_numbers~(k10\_real\_1~k32\_sin\_cos~np\_\_2)){\unicdbdjdcd}(k1\_fdiff\_1~k1\_fdiff\_9~\\
X0=k10\_real\_1~(k1\_seq\_1~k16\_sin\_cos~X0)~(k5\_square\_1~(k1\_seq\_1~\\
k19\_sin\_cos~X0)))))\end{array}
\label{hyp:ehfdpfdhjgogdgpgdhbdad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((v1\_funct\_1~X1){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~k1\_numbers~k1\_numbers)))){\unicdbdjdcd}((r2\_fdiff\_1~X1~X0){\unicdbdjdcd}\\
(v1\_fcont\_1~(k2\_partfun1~k1\_numbers~k1\_numbers~X1~X0)))\end{array}
\label{hyp:ehcdfdpfggegjgggggpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}(v1\_funct\_1~k1\_fdiff\_9){\unicdcdcdhd}(m1\_subset\_1~k1\_fdiff\_9~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~k1\_numbers~k1\_numbers)))\end{array}
\label{hyp:egehpflgbdpfggegjgggggpfjd}
\end{equation}
\begin{theorem}\label{thm:ehjdpfdhjgogdgpgdhbdad}
$$\begin{array}{c}v1\_fcont\_1~(k2\_partfun1~k1\_numbers~k1\_numbers~k1\_fdiff\_9~(k2\_rcomp\_1~\\
k6\_numbers~(k10\_real\_1~k32\_sin\_cos~np\_\_2)))\end{array}$$
\end{theorem}
\end{document}
