\documentclass{article}
\newtheorem{axiom}{Axiom}
\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}
\newcommand\unicdcdadad{\forall}
\newcommand\unicdbdjdcd{\Rightarrow}
\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
\newcommand\unicdcdcdhd{\land}
\newcommand\uniddcgcg{\lambda}
\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t55\_kurato\_1 (TMacAucjNFFKwHqsirs9ETHCobGua8e4CZo)}
\maketitle
Let $ k5\_card\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k5\_kurato\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k3\_topmetr : {\iota}$ be given.
Let $ k6\_kurato\_1 : {\iota}$ be given.
Let $ np\_\_7 : {\iota}$ be given.
Let $ r5\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}}}}$ be given.
Let $ k1\_tops\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_pre\_topc : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k5\_enumset1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}}}$ be given.
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ l1\_pre\_topc : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  \\
{\unicdcdadad} X6 .  (r5\_zfmisc\_1~X0~X1~X2~X3~X4~X5~X6){\unicdbdjdcd}(r5\_zfmisc\_1~X0~X1~X4~\\
X2~X5~X6~X3)\end{array}
\label{hyp:ehjdpfcgpgchdhfhlgpffd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}r5\_zfmisc\_1~k6\_kurato\_1~(k1\_tops\_1~k3\_topmetr~k6\_kurato\_1)~(\\
k1\_tops\_1~k3\_topmetr~(k2\_pre\_topc~k3\_topmetr~k6\_kurato\_1))~(\\
k1\_tops\_1~k3\_topmetr~(k2\_pre\_topc~k3\_topmetr~(k1\_tops\_1~k3\_topmetr~\\
k6\_kurato\_1)))~(k2\_pre\_topc~k3\_topmetr~k6\_kurato\_1)~(k2\_pre\_topc~\\
k3\_topmetr~(k1\_tops\_1~k3\_topmetr~k6\_kurato\_1))~(k2\_pre\_topc~\\
k3\_topmetr~(k1\_tops\_1~k3\_topmetr~(k2\_pre\_topc~k3\_topmetr~k6\_kurato\_1)))\end{array}
\label{hyp:ehfdedpflgfhchbgehpgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  {\unicdcdadad} X5 .  \\
{\unicdcdadad} X6 .  (r5\_zfmisc\_1~X0~X1~X2~X3~X4~X5~X6){\unicdbdjdcd}(k5\_card\_1~(k5\_enumset1~\\
X0~X1~X2~X3~X4~X5~X6)=np\_\_7)\end{array}
\label{hyp:ehedpfcgpgchdhfhlgpffd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}(\preoh v2\_struct\_0~k3\_topmetr){\unicdcdcdhd}((v1\_pre\_topc~k3\_topmetr){\unicdcdcdhd}(v2\_pre\_topc~\\
k3\_topmetr))\end{array}
\label{hyp:ggdgcdpfehpgahngfgehch}
\end{equation}
Assume the following.
\begin{equation}
{{{m1\_subset\_1}~{k6\_kurato\_1}}~{({{k1\_zfmisc\_1}~{({{u1\_struct\_0}~{k3\_topmetr}})}})}}\label{hyp:egehpflggdpflgfhchbgehpgpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{({{v2\_pre\_topc}~{k3\_topmetr}})}{\unicdcdcdhd}{({{l1\_pre\_topc}~{k3\_topmetr}})}}\label{hyp:egehpflgddpfehpgahngfgehch}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((v2\_pre\_topc~X0){\unicdcdcdhd}(l1\_pre\_topc~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~(u1\_struct\_0~\\
X0))){\unicdbdjdcd}(k5\_kurato\_1~X0~X1=k5\_enumset1~X1~(k1\_tops\_1~X0~X1)~(k2\_pre\_topc~\\
X0~X1)~(k1\_tops\_1~X0~(k2\_pre\_topc~X0~X1))~(k2\_pre\_topc~X0~(k1\_tops\_1~\\
X0~X1))~(k2\_pre\_topc~X0~(k1\_tops\_1~X0~(k2\_pre\_topc~X0~X1)))~(k1\_tops\_1~\\
X0~(k2\_pre\_topc~X0~(k1\_tops\_1~X0~X1)))))\end{array}
\label{hyp:egfdpflgfhchbgehpgpfbd}
\end{equation}
\begin{theorem}\label{thm:ehfdfdpflgfhchbgehpgpfbd}
${{{k5\_card\_1}~{({{{k5\_kurato\_1}~{k3\_topmetr}}~{k6\_kurato\_1}})}}={np\_\_7}}$.
\end{theorem}
\end{document}
