\documentclass{article}
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\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
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\newcommand\preoh[1]{\lnot #1}
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\begin{document}
\title{t9\_matrprob (TMcj5hr4YaEZxdmkpjJxroC5Hwy5L3VTgZJ)}
\maketitle
Let $ m2\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k1\_numbers : {\iota}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_finseq\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_matrprob : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_funct\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ m1\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k13\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{\preoh{{({{X0} \in {X1}})}}}{\unicdcdcdhd}{({{v1\_xboole\_0}~{X1}})}}}}\label{hyp:ehhdpfcgpgpgmgfg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m2\_subset\_1~X1~k1\_numbers~\\
k5\_numbers){\unicdbdjdcd}({\unicdcdadad} X2 .  (v7\_ordinal1~X2){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_subset\_1~\\
X3~X0){\unicdbdjdcd}({\unicdcdadad} X4 .  (m1\_subset\_1~X4~X0){\unicdbdjdcd}({\unicdcdaddd} X5 .  (m2\_finseq\_1~\\
X5~X0){\unicdcdcdhd}((k3\_finseq\_1~X5=X2){\unicdcdcdhd}({\unicdcdadad} X6 .  (v7\_ordinal1~X6){\unicdbdjdcd}((\\
X6 \in k2\_finseq\_1~X2){\unicdbdjdcd}(((X6 \in k2\_finseq\_1~X1){\unicdbdjdcd}(k1\_funct\_1~X5~X6=\\
X3)){\unicdcdcdhd}((\preoh X6 \in k2\_finseq\_1~X1){\unicdbdjdcd}(k1\_funct\_1~X5~X6=X4)))))))))))\end{array}
\label{hyp:ehcdpfngbgehchahchpgcg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{X0} \in {X1}})}{\unicdbdjdcd}{({{{m1\_subset\_1}~{X0}}~{X1}})}}}}\label{hyp:ehbdpfdhfhcgdhfgeh}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{{m2\_finseq\_1}~{X1}}~{X0}})}{\unicdbdjded}{({{{m1\_finseq\_1}~{X1}}~{X0}})}}}}\label{hyp:chfgegfgggjgogjgehjgpgogpfngcdpfggjgogdhfgbhpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{k3\_finseq\_2}~{X0}}={{k13\_finseq\_1}~{X0}}}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgddpfggjgogdhfgbhpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((m1\_finseq\_1~X1~(k3\_finseq\_2~\\
X0)){\unicdcdcdhd}(v7\_ordinal1~X2)){\unicdbdjdcd}(k1\_matrprob~X0~X1~X2=k1\_funct\_1~X1~X2)\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpflgbdpfngbgehchahchpgcg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (X1=k13\_finseq\_1~X0){\unicdbdjded}({\unicdcdadad} X2 .  (X2 \in \\
X1){\unicdbdjded}(m2\_finseq\_1~X2~X0))\end{array}
\label{hyp:egbdbdpfggjgogdhfgbhpfbd}
\end{equation}
\begin{theorem}\label{thm:ehjdpfngbgehchahchpgcg}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m2\_subset\_1~X0~k1\_numbers~k5\_numbers){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
(v7\_ordinal1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  {\unicdcdadad} X3 .  (m2\_finseq\_1~X3~X2){\unicdbdjdcd}\\
({\unicdcdadad} X4 .  (m2\_finseq\_1~X4~X2){\unicdbdjdcd}({\unicdcdaddd} X5 .  (m2\_finseq\_1~X5~(\\
k3\_finseq\_2~X2)){\unicdcdcdhd}((k3\_finseq\_1~X5=X1){\unicdcdcdhd}({\unicdcdadad} X6 .  (v7\_ordinal1~\\
X6){\unicdbdjdcd}((X6 \in k2\_finseq\_1~X1){\unicdbdjdcd}(((X6 \in k2\_finseq\_1~X0){\unicdbdjdcd}(k1\_matrprob~\\
X2~X5~X6=X3)){\unicdcdcdhd}((\preoh X6 \in k2\_finseq\_1~X0){\unicdbdjdcd}(k1\_matrprob~X2~X5~X6=X4))))))))))\end{array}$$
\end{theorem}
\end{document}
