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\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
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\begin{document}
\title{t76\_afinsq\_1 (TMb6VDj2UqeKRgfBBdcyAYk9ji4F92LdeoN)}
\maketitle
Let $ k6\_afinsq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_funct\_4 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k9\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_funct\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ v5\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_finset\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_afinsq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_card\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  ((v1\_relat\_1~\\
X4){\unicdcdcdhd}(v1\_funct\_1~X4)){\unicdbdjdcd}(((k9\_xtuple\_0~X4=k2\_tarski~X0~X1){\unicdcdcdhd}((k1\_funct\_1~\\
X4~X0=X2){\unicdcdcdhd}(k1\_funct\_1~X4~X1=X3))){\unicdbdjdcd}(X4=k4\_funct\_4~X0~X1~X2~X3))\end{array}
\label{hyp:ehgdgdpfggfhogdgehpfed}
\end{equation}
Assume the following.
\begin{equation}
{{np\_\_2}={{{k2\_tarski}~{k1\_xboole\_0}}~{np\_\_1}}}\label{hyp:ehfdadpfdgbgchegpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((v1\_relat\_1~X2){\unicdcdcdhd}((v5\_ordinal1~\\
X2){\unicdcdcdhd}((v1\_funct\_1~X2){\unicdcdcdhd}(v1\_finset\_1~X2)))){\unicdbdjdcd}((X2=k6\_afinsq\_1~\\
X0~X1){\unicdbdjded}((k1\_afinsq\_1~X2=np\_\_2){\unicdcdcdhd}((k1\_funct\_1~X2~k6\_numbers=X0){\unicdcdcdhd}\\
(k1\_funct\_1~X2~np\_\_1=X1))))\end{array}
\label{hyp:ehddidpfbgggjgogdhbhpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{k6\_numbers}={k1\_xboole\_0}}\label{hyp:chfgegfgggjgogjgehjgpgogpflggdpfogfhngcgfgchdh}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_relat\_1~X0){\unicdcdcdhd}((v5\_ordinal1~X0){\unicdcdcdhd}((v1\_funct\_1~\\
X0){\unicdcdcdhd}(v1\_finset\_1~X0)))){\unicdbdjdcd}(k1\_afinsq\_1~X0=k1\_card\_1~X0)\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpflgbdpfbgggjgogdhbhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_relat\_1~X0){\unicdcdcdhd}((v5\_ordinal1~X0){\unicdcdcdhd}((v1\_funct\_1~\\
X0){\unicdcdcdhd}(v1\_finset\_1~X0)))){\unicdbdjdcd}(k1\_card\_1~X0=k9\_xtuple\_0~X0)\end{array}
\label{hyp:jgfgbdpfbgggjgogdhbhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v1\_relat\_1~(k6\_afinsq\_1~X0~X1)){\unicdcdcdhd}(v1\_funct\_1~\\
(k6\_afinsq\_1~X0~X1))\end{array}
\label{hyp:ggdgjdpfbgggjgogdhbhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v5\_ordinal1~(k6\_afinsq\_1~X0~X1)){\unicdcdcdhd}(v1\_finset\_1~\\
(k6\_afinsq\_1~X0~X1))\end{array}
\label{hyp:ggdgbdbdpfbgggjgogdhbhpfbd}
\end{equation}
\begin{theorem}\label{thm:ehhdgdpfbgggjgogdhbhpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  k6\_afinsq\_1~X0~X1=k4\_funct\_4~k6\_numbers~\\
np\_\_1~X0~X1\end{array}$$
\end{theorem}
\end{document}
