\documentclass{article}
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\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\begin{document}
\title{t59\_matrixc1 (TMLdihAk7NyK8wRRKe87TP7g6fqvZQBo2so)}
\maketitle
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_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 $ k8\_complsp2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_matrixc1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_matrixc1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k12\_matrixc1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k13\_matrixc1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k4\_matrix\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m2\_finseq\_1~X0~k2\_numbers){\unicdbdjdcd}({\unicdcdadad} X1 .  (m2\_finseq\_1~\\
X1~k2\_numbers){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_matrix\_1~X2){\unicdcdcdhd}(m2\_finseq\_1~X2~\\
(k3\_finseq\_2~k2\_numbers))){\unicdbdjdcd}(((k3\_finseq\_1~X1=k3\_finseq\_1~X2){\unicdcdcdhd}\\
(k3\_finseq\_1~X0=k1\_matrix\_1~X2)){\unicdbdjdcd}((r1\_xxreal\_0~(k3\_finseq\_1~\\
X0)~k6\_numbers){\unicdcdcdid}((r1\_xxreal\_0~(k3\_finseq\_1~X1)~k6\_numbers){\unicdcdcdid}\\
(k8\_complsp2~(k6\_matrixc1~X2~X0)~X1=k12\_matrixc1~(k13\_matrixc1~\\
X0~X1~(k4\_matrix\_1~k2\_numbers~X2))))))))\end{array}
\label{hyp:ehfdidpfngbgehchjgihdgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m2\_finseq\_1~X0~k2\_numbers){\unicdbdjdcd}({\unicdcdadad} X1 .  (m2\_finseq\_1~\\
X1~k2\_numbers){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_matrix\_1~X2){\unicdcdcdhd}(m2\_finseq\_1~X2~\\
(k3\_finseq\_2~k2\_numbers))){\unicdbdjdcd}(((k3\_finseq\_1~X0=k1\_matrix\_1~X2){\unicdcdcdhd}\\
(k3\_finseq\_1~X1=k3\_finseq\_1~X2)){\unicdbdjdcd}((r1\_xxreal\_0~(k3\_finseq\_1~\\
X0)~k6\_numbers){\unicdcdcdid}((r1\_xxreal\_0~(k3\_finseq\_1~X1)~k6\_numbers){\unicdcdcdid}\\
(k8\_complsp2~X0~(k6\_matrixc1~(k2\_matrixc1~X2)~X1)=k12\_matrixc1~\\
(k13\_matrixc1~X0~X1~(k4\_matrix\_1~k2\_numbers~X2))))))))\end{array}
\label{hyp:ehfdhdpfngbgehchjgihdgbd}
\end{equation}
\begin{theorem}\label{thm:ehfdjdpfngbgehchjgihdgbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m2\_finseq\_1~X0~k2\_numbers){\unicdbdjdcd}({\unicdcdadad} X1 .  (m2\_finseq\_1~\\
X1~k2\_numbers){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_matrix\_1~X2){\unicdcdcdhd}(m2\_finseq\_1~X2~\\
(k3\_finseq\_2~k2\_numbers))){\unicdbdjdcd}(((k3\_finseq\_1~X0=k1\_matrix\_1~X2){\unicdcdcdhd}\\
(k3\_finseq\_1~X1=k3\_finseq\_1~X2)){\unicdbdjdcd}((r1\_xxreal\_0~(k1\_matrix\_1~\\
X2)~k6\_numbers){\unicdcdcdid}((r1\_xxreal\_0~(k3\_finseq\_1~X2)~k6\_numbers){\unicdcdcdid}\\
(k8\_complsp2~(k6\_matrixc1~X2~X0)~X1=k8\_complsp2~X0~(k6\_matrixc1~\\
(k2\_matrixc1~X2)~X1)))))))\end{array}$$
\end{theorem}
\end{document}
