\documentclass{article}
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\newtheorem{conjecture}{Conjecture}
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\begin{document}
\title{t3\_mssublat (TMNPjqnUwLxLQ9qqLTrZVmWWU5G52d6SSAt)}
\maketitle
Let $ k3\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ k3\_finseq\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k7\_finseq\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ k10\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_finseq\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v2\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m2\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k1\_numbers : {\iota}$ be given.
Let $ m1\_subset\_1 : {{\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 $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{{k2\_finseq\_2}~{np\_\_2}}~{X0}}={{{k10\_finseq\_1}~{X0}}~{X0}}}}\label{hyp:ehgdbdpfggjgogdhfgbhpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}((v2\_xxreal\_0~np\_\_2){\unicdcdcdhd}(m2\_subset\_1~np\_\_2~k1\_numbers~k5\_numbers)){\unicdcdcdhd}\\
((m1\_subset\_1~np\_\_2~k5\_numbers){\unicdcdcdhd}(m1\_subset\_1~np\_\_2~k1\_numbers))\end{array}
\label{hyp:dhahdgcdpfogfhngfgchbgmgdh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_funct\_1~(k7\_finseq\_2~X0)){\unicdcdcdhd}((v1\_funct\_2~(k7\_finseq\_2~\\
X0)~k5\_numbers~(k3\_finseq\_2~(k1\_tarski~X0))){\unicdcdcdhd}(m1\_subset\_1~(k7\_finseq\_2~\\
X0)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~k5\_numbers~(k3\_finseq\_2~(k1\_tarski~\\
X0))))))\end{array}
\label{hyp:egehpflghdpfggjgogdhfgbhpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((v1\_funct\_1~X1){\unicdcdcdhd}((v1\_funct\_2~X1~k5\_numbers~\\
(k3\_finseq\_2~(k1\_tarski~X0))){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~(\\
k2\_zfmisc\_1~k5\_numbers~(k3\_finseq\_2~(k1\_tarski~X0))))))){\unicdbdjdcd}((\\
X1=k7\_finseq\_2~X0){\unicdbdjded}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~k5\_numbers){\unicdbdjdcd}\\
(k3\_funct\_2~k5\_numbers~(k3\_finseq\_2~(k1\_tarski~X0))~X1~X2=k2\_finseq\_2~\\
X2~X0)))\end{array}
\label{hyp:eggdpfggjgogdhfgbhpfcd}
\end{equation}
\begin{theorem}\label{thm:ehddpfngdhdhfhcgmgbgeh}
$$\begin{array}{c}{\unicdcdadad} X0 .  k3\_funct\_2~k5\_numbers~(k3\_finseq\_2~(k1\_tarski~X0))~\\
(k7\_finseq\_2~X0)~np\_\_2=k10\_finseq\_1~X0~X0\end{array}$$
\end{theorem}
\end{document}
