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\newtheorem{conjecture}{Conjecture}
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\begin{document}
\title{t54\_fuzzy\_2 (TMFnRjDAYHwx5Cs2Kcerwxepgi8tWzyrRVw)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r2\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_numbers : {\iota}$ be given.
Let $ k3\_fuzzy\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_fuzzy\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k5\_fuzzy\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_fuzzy\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k5\_fuzzy\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k7\_rfunct\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_funct\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k5\_funct\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}((r2\_funct\_2~X0~k1\_numbers~(k3\_fuzzy\_1~\\
X0~(k4\_fuzzy\_1~X0))~(k5\_fuzzy\_1~X0)){\unicdcdcdhd}(r2\_funct\_2~X0~k1\_numbers~\\
(k3\_fuzzy\_1~X0~(k5\_fuzzy\_1~X0))~(k4\_fuzzy\_1~X0)))\end{array}
\label{hyp:ehedadpfggfhkhkhjhpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{{{k7\_rfunct\_1}~{X0}}~{X1}}={{{k4\_funct\_3}~{X0}}~{X1}}}}}\label{hyp:chfgegfgggjgogjgehjgpgogpflghdpfchggfhogdgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{{{k5\_funct\_3}~{X0}}~{X1}}={{{k4\_funct\_3}~{X0}}~{X1}}}}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgfdpfggfhogdgehpfdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(\preoh v1\_xboole\_0~X1)){\unicdbdjdcd}\\
(\preoh v1\_xboole\_0~(k2\_zfmisc\_1~X0~X1))\end{array}
\label{hyp:ggdgbdadpfdhfhcgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({\preoh{{{v1\_xboole\_0}~{X0}}}})}{\unicdbdjdcd}{({{{k5\_fuzzy\_1}~{X0}}={{{k7\_rfunct\_1}~{X0}}~{X0}}})}}}\label{hyp:eghdpfggfhkhkhjhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}(k4\_fuzzy\_1~X0=k7\_rfunct\_1~k1\_xboole\_0~\\
X0)\end{array}
\label{hyp:eggdpfggfhkhkhjhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}\\
(k5\_fuzzy\_2~X0~X1=k5\_funct\_3~(k2\_zfmisc\_1~X0~X1)~(k2\_zfmisc\_1~\\
X0~X1)))\end{array}
\label{hyp:egfdpfggfhkhkhjhpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}\\
(k4\_fuzzy\_2~X0~X1=k5\_funct\_3~k1\_xboole\_0~(k2\_zfmisc\_1~X0~X1)))\end{array}
\label{hyp:egedpfggfhkhkhjhpfcd}
\end{equation}
\begin{theorem}\label{thm:ehfdedpfggfhkhkhjhpfcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}\\
((r2\_funct\_2~(k2\_zfmisc\_1~X0~X1)~k1\_numbers~(k3\_fuzzy\_1~(k2\_zfmisc\_1~\\
X0~X1)~(k4\_fuzzy\_2~X0~X1))~(k5\_fuzzy\_2~X0~X1)){\unicdcdcdhd}(r2\_funct\_2~(k2\_zfmisc\_1~\\
X0~X1)~k1\_numbers~(k3\_fuzzy\_1~(k2\_zfmisc\_1~X0~X1)~(k5\_fuzzy\_2~X0~\\
X1))~(k4\_fuzzy\_2~X0~X1))))\end{array}$$
\end{theorem}
\end{document}
