\documentclass{article}
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\newtheorem{definition}{Definition}
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\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\newcommand\preoh[1]{\lnot #1}
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\begin{document}
\title{t19\_lfuzzy\_0 (TMQiAWvZfL6baNFppQne6TU7QDLdd8gLgTm)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_lfuzzy\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k13\_lattice3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k2\_fuzzy\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k5\_lfuzzy\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v5\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_rcomp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k1\_numbers : {\iota}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_lfuzzy\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v5\_relat\_1~X1~(k1\_rcomp\_1~\\
k6\_numbers~np\_\_1)){\unicdcdcdhd}((v1\_funct\_1~X1){\unicdcdcdhd}((v1\_funct\_2~X1~X0~k1\_numbers){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~k1\_numbers)))))){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  ((v5\_relat\_1~X2~(k1\_rcomp\_1~k6\_numbers~np\_\_1)){\unicdcdcdhd}(\\
(v1\_funct\_1~X2){\unicdcdcdhd}((v1\_funct\_2~X2~X0~k1\_numbers){\unicdcdcdhd}(m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~k1\_numbers)))))){\unicdbdjdcd}(k2\_fuzzy\_1~\\
X0~X1~X2=k13\_lattice3~(k4\_lfuzzy\_0~X0)~(k6\_lfuzzy\_0~X0~X1)~(k6\_lfuzzy\_0~\\
X0~X2))))\end{array}
\label{hyp:ehbdidpfmgggfhkhkhjhpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(m1\_subset\_1~X1~(u1\_struct\_0~\\
(k4\_lfuzzy\_0~X0)))){\unicdbdjdcd}((v5\_relat\_1~(k5\_lfuzzy\_0~X0~X1)~(k1\_rcomp\_1~\\
k6\_numbers~np\_\_1)){\unicdcdcdhd}((v1\_funct\_1~(k5\_lfuzzy\_0~X0~X1)){\unicdcdcdhd}((v1\_funct\_2~\\
(k5\_lfuzzy\_0~X0~X1)~X0~k1\_numbers){\unicdcdcdhd}(m1\_subset\_1~(k5\_lfuzzy\_0~\\
X0~X1)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~k1\_numbers))))))\end{array}
\label{hyp:egehpflgfdpfmgggfhkhkhjhpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v5\_relat\_1~X1~(k1\_rcomp\_1~\\
k6\_numbers~np\_\_1)){\unicdcdcdhd}((v1\_funct\_1~X1){\unicdcdcdhd}((v1\_funct\_2~X1~X0~k1\_numbers){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~X0~k1\_numbers)))))){\unicdbdjdcd}\\
(k6\_lfuzzy\_0~X0~X1=X1))\end{array}
\label{hyp:eggdpfmgggfhkhkhjhpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u1\_struct\_0~\\
(k4\_lfuzzy\_0~X0))){\unicdbdjdcd}(k5\_lfuzzy\_0~X0~X1=X1))\end{array}
\label{hyp:egfdpfmgggfhkhkhjhpfad}
\end{equation}
\begin{theorem}\label{thm:ehbdjdpfmgggfhkhkhjhpfad}
$$\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(u1\_struct\_0~\\
(k4\_lfuzzy\_0~X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(u1\_struct\_0~\\
(k4\_lfuzzy\_0~X0))){\unicdbdjdcd}(k13\_lattice3~(k4\_lfuzzy\_0~X0)~X1~X2=k2\_fuzzy\_1~\\
X0~(k5\_lfuzzy\_0~X0~X1)~(k5\_lfuzzy\_0~X0~X2))))\end{array}$$
\end{theorem}
\end{document}
