\documentclass{article}
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\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\newcommand\preoh[1]{\lnot #1}
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\begin{document}
\title{t17\_binari\_2 (TMUKkSfQbUwyEhVv2BLcgsFjb2U97rUcoQT)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_card\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k6\_margrel1 : {\iota}$ be given.
Let $ k6\_binari\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k7\_binarith : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k2\_binari\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ m1\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k7\_partfun1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k2\_binarith : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_binarith : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{{m2\_finseq\_1}~{X1}}~{X0}})}{\unicdbdjded}{({{{m1\_finseq\_1}~{X1}}~{X0}})}}}}\label{hyp:chfgegfgggjgogjgehjgpgogpfngcdpfggjgogdhfgbhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v7\_ordinal1~\\
X0)){\unicdcdcdhd}(((v3\_card\_1~X1~X0){\unicdcdcdhd}(m1\_finseq\_1~X1~k6\_margrel1)){\unicdcdcdhd}((v3\_card\_1~\\
X2~X0){\unicdcdcdhd}(m1\_finseq\_1~X2~k6\_margrel1)))){\unicdbdjdcd}((v3\_card\_1~(k6\_binari\_2~\\
X0~X1~X2)~X0){\unicdcdcdhd}(m2\_finseq\_1~(k6\_binari\_2~X0~X1~X2)~k6\_margrel1))\end{array}
\label{hyp:egehpflggdpfcgjgogbgchjgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v7\_ordinal1~X0)){\unicdcdcdhd}\\
((v3\_card\_1~X1~X0){\unicdcdcdhd}(m1\_finseq\_1~X1~k6\_margrel1))){\unicdbdjdcd}((v3\_card\_1~\\
(k2\_binari\_2~X0~X1)~X0){\unicdcdcdhd}(m2\_finseq\_1~(k2\_binari\_2~X0~X1)~k6\_margrel1))\end{array}
\label{hyp:egehpflgcdpfcgjgogbgchjgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v7\_ordinal1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v3\_card\_1~X1~X0){\unicdcdcdhd}(m2\_finseq\_1~X1~k6\_margrel1)){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
((v3\_card\_1~X2~X0){\unicdcdcdhd}(m2\_finseq\_1~X2~k6\_margrel1)){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
((v3\_card\_1~X3~X0){\unicdcdcdhd}(m2\_finseq\_1~X3~k6\_margrel1)){\unicdbdjdcd}((X3=k6\_binari\_2~\\
X0~X1~X2){\unicdbdjded}({\unicdcdadad} X4 .  (v7\_ordinal1~X4){\unicdbdjdcd}((X4 \in k2\_finseq\_1~X0){\unicdbdjdcd}\\
(k7\_partfun1~k6\_margrel1~X3~X4=k2\_binarith~(k2\_binarith~(k7\_partfun1~\\
k6\_margrel1~X1~X4)~(k7\_partfun1~k6\_margrel1~(k2\_binari\_2~X0~X2)~\\
X4))~(k7\_partfun1~k6\_margrel1~(k4\_binarith~X0~X1~(k2\_binari\_2~\\
X0~X2))~X4))))))))\end{array}
\label{hyp:eggdpfcgjgogbgchjgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v7\_ordinal1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v3\_card\_1~X1~X0){\unicdcdcdhd}(m2\_finseq\_1~X1~k6\_margrel1)){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
((v3\_card\_1~X2~X0){\unicdcdcdhd}(m2\_finseq\_1~X2~k6\_margrel1)){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
((v3\_card\_1~X3~X0){\unicdcdcdhd}(m2\_finseq\_1~X3~k6\_margrel1)){\unicdbdjdcd}((X3=k7\_binarith~\\
X0~X1~X2){\unicdbdjded}({\unicdcdadad} X4 .  (v7\_ordinal1~X4){\unicdbdjdcd}((X4 \in k2\_finseq\_1~X0){\unicdbdjdcd}\\
(k7\_partfun1~k6\_margrel1~X3~X4=k2\_binarith~(k2\_binarith~(k7\_partfun1~\\
k6\_margrel1~X1~X4)~(k7\_partfun1~k6\_margrel1~X2~X4))~(k7\_partfun1~\\
k6\_margrel1~(k4\_binarith~X0~X1~X2)~X4))))))))\end{array}
\label{hyp:egfdpfcgjgogbgchjgehig}
\end{equation}
\begin{theorem}\label{thm:ehbdhdpfcgjgogbgchjgpfcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(v7\_ordinal1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((v3\_card\_1~X1~X0){\unicdcdcdhd}(m2\_finseq\_1~X1~k6\_margrel1)){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
((v3\_card\_1~X2~X0){\unicdcdcdhd}(m2\_finseq\_1~X2~k6\_margrel1)){\unicdbdjdcd}(k6\_binari\_2~\\
X0~X1~X2=k7\_binarith~X0~X1~(k2\_binari\_2~X0~X2))))\end{array}$$
\end{theorem}
\end{document}
