\documentclass{article}
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\newtheorem{conjecture}{Conjecture}
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\begin{document}
\title{t47\_matrprob (TMMWPv5TkimcLMqWoNb6n7GLWpJhYrfEJbE)}
\maketitle
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_numbers : {\iota}$ be given.
Let $ v1\_matrix\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k3\_finseq\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_matrix\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ k23\_rvsum\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k12\_matrixr1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k11\_matrixr1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k5\_matrprob : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k6\_matrprob : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m2\_finseq\_1~X0~k1\_numbers){\unicdbdjdcd}({\unicdcdadad} X1 .  (m2\_finseq\_1~\\
X1~k1\_numbers){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_matrix\_1~X2){\unicdcdcdhd}(m2\_finseq\_1~X2~\\
(k3\_finseq\_2~k1\_numbers))){\unicdbdjdcd}(((k3\_finseq\_1~X0=k3\_finseq\_1~X2){\unicdcdcdhd}\\
(k3\_finseq\_1~X1=k1\_matrix\_1~X2)){\unicdbdjdcd}(k23\_rvsum\_1~(k12\_matrixr1~\\
X2~X0)~X1=k5\_matrprob~(k6\_matrprob~X0~X1~X2)))))\end{array}
\label{hyp:ehedgdpfngbgehchahchpgcg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m2\_finseq\_1~X0~k1\_numbers){\unicdbdjdcd}({\unicdcdadad} X1 .  (m2\_finseq\_1~\\
X1~k1\_numbers){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_matrix\_1~X2){\unicdcdcdhd}(m2\_finseq\_1~X2~\\
(k3\_finseq\_2~k1\_numbers))){\unicdbdjdcd}(((k3\_finseq\_1~X0=k3\_finseq\_1~X2){\unicdcdcdhd}\\
(k3\_finseq\_1~X1=k1\_matrix\_1~X2)){\unicdbdjdcd}((r1\_xxreal\_0~(k3\_finseq\_1~\\
X1)~k6\_numbers){\unicdcdcdid}(k23\_rvsum\_1~X0~(k11\_matrixr1~X2~X1)=k5\_matrprob~\\
(k6\_matrprob~X0~X1~X2))))))\end{array}
\label{hyp:ehededpfngbgehchahchpgcg}
\end{equation}
\begin{theorem}\label{thm:ehedhdpfngbgehchahchpgcg}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m2\_finseq\_1~X0~k1\_numbers){\unicdbdjdcd}({\unicdcdadad} X1 .  (m2\_finseq\_1~\\
X1~k1\_numbers){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_matrix\_1~X2){\unicdcdcdhd}(m2\_finseq\_1~X2~\\
(k3\_finseq\_2~k1\_numbers))){\unicdbdjdcd}(((k3\_finseq\_1~X0=k3\_finseq\_1~X2){\unicdcdcdhd}\\
(k3\_finseq\_1~X1=k1\_matrix\_1~X2)){\unicdbdjdcd}((r1\_xxreal\_0~(k3\_finseq\_1~\\
X1)~k6\_numbers){\unicdcdcdid}(k23\_rvsum\_1~(k12\_matrixr1~X2~X0)~X1=k23\_rvsum\_1~\\
X0~(k11\_matrixr1~X2~X1))))))\end{array}$$
\end{theorem}
\end{document}
