\documentclass{article}
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\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
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\begin{document}
\title{t45\_entropy1 (TMJAuMfPc2gLwaM3wHhMp5i6aD3oqZznzMR)}
\maketitle
Let $ v1\_matrprob : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_numbers : {\iota}$ be given.
Let $ k2\_entropy1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_matrixr1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k9\_matrixr1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k10\_matrixr1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_matrix\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k3\_finseq\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v4\_matrprob : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_matrix\_1~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~(k3\_finseq\_2~k1\_numbers))){\unicdbdjdcd}\\
((v4\_matrprob~X0){\unicdbdjded}(v1\_matrprob~(k2\_entropy1~k1\_numbers~X0)))\end{array}
\label{hyp:ehededpffgogehchpgahjhbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_matrprob~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k1\_numbers)){\unicdbdjdcd}(\\
{\unicdcdadad} X1 .  ((v1\_matrprob~X1){\unicdcdcdhd}(m2\_finseq\_1~X1~k1\_numbers)){\unicdbdjdcd}(\\
v4\_matrprob~(k6\_matrixr1~(k9\_matrixr1~X0)~(k10\_matrixr1~X1))))\end{array}
\label{hyp:ehcdddpffgogehchpgahjhbd}
\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}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_finseq\_1~X0~k1\_numbers){\unicdbdjdcd}((v1\_matrix\_1~(k9\_matrixr1~\\
X0)){\unicdcdcdhd}(m2\_finseq\_1~(k9\_matrixr1~X0)~(k3\_finseq\_2~k1\_numbers)))\end{array}
\label{hyp:egehpflgjdpfngbgehchjgihchbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((v1\_matrix\_1~X0){\unicdcdcdhd}(m1\_finseq\_1~X0~(k3\_finseq\_2~\\
k1\_numbers))){\unicdcdcdhd}((v1\_matrix\_1~X1){\unicdcdcdhd}(m1\_finseq\_1~X1~(k3\_finseq\_2~\\
k1\_numbers)))){\unicdbdjdcd}((v1\_matrix\_1~(k6\_matrixr1~X0~X1)){\unicdcdcdhd}(m2\_finseq\_1~\\
(k6\_matrixr1~X0~X1)~(k3\_finseq\_2~k1\_numbers)))\end{array}
\label{hyp:egehpflggdpfngbgehchjgihchbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_finseq\_1~X0~k1\_numbers){\unicdbdjdcd}((v1\_matrix\_1~(k10\_matrixr1~\\
X0)){\unicdcdcdhd}(m2\_finseq\_1~(k10\_matrixr1~X0)~(k3\_finseq\_2~k1\_numbers)))\end{array}
\label{hyp:egehpflgbdadpfngbgehchjgihchbd}
\end{equation}
\begin{theorem}\label{thm:ehedfdpffgogehchpgahjhbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_matrprob~X0){\unicdcdcdhd}(m2\_finseq\_1~X0~k1\_numbers)){\unicdbdjdcd}(\\
{\unicdcdadad} X1 .  ((v1\_matrprob~X1){\unicdcdcdhd}(m2\_finseq\_1~X1~k1\_numbers)){\unicdbdjdcd}(\\
v1\_matrprob~(k2\_entropy1~k1\_numbers~(k6\_matrixr1~(k9\_matrixr1~\\
X0)~(k10\_matrixr1~X1)))))\end{array}$$
\end{theorem}
\end{document}
