\documentclass{article}
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\newtheorem{theorem}{Theorem}
\newtheorem{lemma}{Lemma}
\newtheorem{proposition}{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
\newcommand\unicdcdcdbg{\cup}
\newcommand\unicdcdbdgd{\setminus}
\newcommand\unicdcdcdjd{\cap}
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\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
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\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{l31\_lfuzzy\_0 (TMcX3Y4TLscs8rsWvL1WDHWAqKa1ijzKgDC)}
\maketitle
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_lfuzzy\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ 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 $ k1\_numbers : {\iota}$ be given.
Let $ k17\_borsuk\_1 : {\iota}$ be given.
Let $ k5\_topmetr : {\iota}$ be given.
Let $ v1\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_lfuzzy\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_lfuzzy\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_xreal\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ l1\_orders\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
{{{u1\_struct\_0}~{k17\_borsuk\_1}}={{{k1\_rcomp\_1}~{k6\_numbers}}~{np\_\_1}}}\label{hyp:ehedadpfcgpgchdhfhlgpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{k5\_topmetr}={k17\_borsuk\_1}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgfdpfehpgahngfgehch}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(u1\_struct\_0~k17\_borsuk\_1)){\unicdbdjdcd}(m1\_subset\_1~\\
X0~k1\_numbers)\end{array}
\label{hyp:mgidpfkgpgchegbgogfdcg}
\end{equation}
Assume the following.
\begin{equation}
{{{m1\_subset\_1}~{np\_\_1}}~{k1\_numbers}}\label{hyp:mgcdjdpfbgchjhehngpfad}
\end{equation}
Assume the following.
\begin{equation}
{{{m1\_subset\_1}~{k6\_numbers}}~{k1\_numbers}}\label{hyp:mgbdjdpfbgchjhehngpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}(v1\_orders\_2~(k1\_lfuzzy\_0~(k1\_rcomp\_1~k6\_numbers~np\_\_1))){\unicdcdcdhd}(\\
(v1\_lfuzzy\_0~(k1\_lfuzzy\_0~(k1\_rcomp\_1~k6\_numbers~np\_\_1))){\unicdcdcdhd}(\\
v2\_lfuzzy\_0~(k1\_lfuzzy\_0~(k1\_rcomp\_1~k6\_numbers~np\_\_1))))\end{array}
\label{hyp:ggdgddpfmgggfhkhkhjhpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((v1\_xreal\_0~X0){\unicdcdcdhd}(v1\_xreal\_0~X1)){\unicdbdjdcd}(m1\_subset\_1~\\
(k1\_rcomp\_1~X0~X1)~(k1\_zfmisc\_1~k1\_numbers))\end{array}
\label{hyp:egehpflgbdpfchdgpgngahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(k1\_zfmisc\_1~k1\_numbers)){\unicdbdjdcd}((v1\_orders\_2~\\
(k1\_lfuzzy\_0~X0)){\unicdcdcdhd}((v1\_lfuzzy\_0~(k1\_lfuzzy\_0~X0)){\unicdcdcdhd}(l1\_orders\_2~\\
(k1\_lfuzzy\_0~X0))))\end{array}
\label{hyp:egehpflgbdpfmgggfhkhkhjhpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(k1\_zfmisc\_1~k1\_numbers)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v1\_orders\_2~X1){\unicdcdcdhd}((v1\_lfuzzy\_0~X1){\unicdcdcdhd}(l1\_orders\_2~X1))){\unicdbdjdcd}((X1=\\
k1\_lfuzzy\_0~X0){\unicdbdjded}(u1\_struct\_0~X1=X0)))\end{array}
\label{hyp:egddpfmgggfhkhkhjhpfad}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{{m1\_subset\_1}~{X0}}~{k1\_numbers}})}{\unicdbdjdcd}{({{v1\_xreal\_0}~{X0}})}}}\label{hyp:dgdgbdpfihchfgbgmgpfad}
\end{equation}
\begin{theorem}\label{thm:mgddbdpfmgggfhkhkhjhpfad}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m1\_subset\_1~X0~(u1\_struct\_0~(k1\_lfuzzy\_0~(k1\_rcomp\_1~\\
k6\_numbers~np\_\_1)))){\unicdbdjdcd}(m1\_subset\_1~X0~k1\_numbers)\end{array}$$
\end{theorem}
\end{document}
