\documentclass{article}
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\newtheorem{lemma}{Lemma}
\newtheorem{proposition}{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\newcommand\unicdcdadjd{\notin}
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\begin{document}
\title{t5\_binari\_2 (TMKUgvgJrQzkJF2tkSsnZFCS4pETpZLu2hX)}
\maketitle
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ k7\_partfun1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k6\_margrel1 : {\iota}$ be given.
Let $ k1\_binari\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k8\_margrel1 : {\iota}$ be given.
Let $ k2\_xboolean : {\iota}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k15\_funcop\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}$ be given.
Let $ k14\_funcop\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k7\_margrel1 : {\iota}$ be given.
Let $ v3\_card\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Assume the following.
\begin{equation}
{{k8\_margrel1}={k2\_xboolean}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgidpfngbgchhgchfgmgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  ((m1\_subset\_1~\\
X3~X0){\unicdcdcdhd}(m1\_subset\_1~X4~X0)){\unicdbdjdcd}(k15\_funcop\_1~X0~X1~X2~X3~X4=k14\_funcop\_1~\\
X1~X2~X3~X4)\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpflgbdfdpfggfhogdgpgahpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{{m1\_subset\_1}~{k8\_margrel1}}~{k6\_margrel1}}\label{hyp:egehpflgidpfngbgchhgchfgmgbd}
\end{equation}
Assume the following.
\begin{equation}
{{{m1\_subset\_1}~{k7\_margrel1}}~{k6\_margrel1}}\label{hyp:egehpflghdpfngbgchhgchfgmgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}((v3\_card\_1~(k1\_binari\_2~X0)~X0){\unicdcdcdhd}\\
(m2\_finseq\_1~(k1\_binari\_2~X0)~k6\_margrel1))\end{array}
\label{hyp:egehpflgbdpfcgjgogbgchjgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  ((X0=X1){\unicdbdjdcd}(k14\_funcop\_1~\\
X0~X1~X2~X3=X2)){\unicdcdcdhd}((X0{\unicdcdgdad}X1){\unicdbdjdcd}(k14\_funcop\_1~X0~X1~X2~X3=X3))\end{array}
\label{hyp:egidpfggfhogdgpgahpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{k2\_xboolean}={np\_\_1}}\label{hyp:egcdpfihcgpgpgmgfgbgog}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v3\_card\_1~X1~X0){\unicdcdcdhd}(\\
m2\_finseq\_1~X1~k6\_margrel1)){\unicdbdjdcd}((X1=k1\_binari\_2~X0){\unicdbdjded}({\unicdcdadad} X2 .  \\
(v7\_ordinal1~X2){\unicdbdjdcd}((X2 \in k2\_finseq\_1~X0){\unicdbdjdcd}(k7\_partfun1~k6\_margrel1~\\
X1~X2=k15\_funcop\_1~k6\_margrel1~X2~np\_\_1~k8\_margrel1~k7\_margrel1)))))\end{array}
\label{hyp:egbdpfcgjgogbgchjgpfcd}
\end{equation}
\begin{theorem}\label{thm:ehfdpfcgjgogbgchjgpfcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v7\_ordinal1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v7\_ordinal1~X1){\unicdbdjdcd}((\\
(X1 \in k2\_finseq\_1~X0){\unicdcdcdhd}(X1=np\_\_1)){\unicdbdjdcd}(k7\_partfun1~k6\_margrel1~(\\
k1\_binari\_2~X0)~X1=k8\_margrel1)))\end{array}$$
\end{theorem}
\end{document}
