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\begin{document}
\title{t75\_finseq\_4 (TMJpCBt6773RyWXhBocwubpBEaBqbjkooMv)}
\maketitle
Let $ k8\_finseq\_4 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}$ be given.
Let $ k7\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k11\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k10\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k7\_finseq\_4 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k9\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_finseq\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k5\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  (k7\_finseq\_4~X0~X1~\\
X2~X3=k7\_finseq\_1~(k11\_finseq\_1~X0~X1~X2)~(k9\_finseq\_1~X3)){\unicdcdcdhd}((\\
k7\_finseq\_4~X0~X1~X2~X3=k7\_finseq\_1~(k10\_finseq\_1~X0~X1)~(k10\_finseq\_1~\\
X2~X3)){\unicdcdcdhd}((k7\_finseq\_4~X0~X1~X2~X3=k7\_finseq\_1~(k9\_finseq\_1~X0)~\\
(k11\_finseq\_1~X1~X2~X3)){\unicdcdcdhd}(k7\_finseq\_4~X0~X1~X2~X3=k7\_finseq\_1~(\\
k7\_finseq\_1~(k7\_finseq\_1~(k9\_finseq\_1~X0)~(k9\_finseq\_1~X1))~(\\
k9\_finseq\_1~X2))~(k9\_finseq\_1~X3))))\end{array}
\label{hyp:ehhdedpfggjgogdhfgbhpfed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_relat\_1~X0){\unicdcdcdhd}((v1\_funct\_1~X0){\unicdcdcdhd}(v1\_finseq\_1~X0))){\unicdbdjdcd}\\
({\unicdcdadad} X1 .  ((v1\_relat\_1~X1){\unicdcdcdhd}((v1\_funct\_1~X1){\unicdcdcdhd}(v1\_finseq\_1~\\
X1))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_relat\_1~X2){\unicdcdcdhd}((v1\_funct\_1~X2){\unicdcdcdhd}(v1\_finseq\_1~\\
X2))){\unicdbdjdcd}(k7\_finseq\_1~(k7\_finseq\_1~X0~X1)~X2=k7\_finseq\_1~X0~(k7\_finseq\_1~\\
X1~X2))))\end{array}
\label{hyp:ehddcdpfggjgogdhfgbhpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{k9\_finseq\_1}~{X0}}={{k5\_finseq\_1}~{X0}}}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgjdpfggjgogdhfgbhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v1\_relat\_1~(k10\_finseq\_1~X0~X1)){\unicdcdcdhd}(v1\_funct\_1~\\
(k10\_finseq\_1~X0~X1))\end{array}
\label{hyp:ggdgidpfggjgogdhfgbhpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{v1\_finseq\_1}~{({{k5\_finseq\_1}~{X0}})}}}\label{hyp:ggdghdpfggjgogdhfgbhpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{v1\_finseq\_1}~{({{{k10\_finseq\_1}~{X0}}~{X1}})}}}}\label{hyp:ggdgbdadpfggjgogdhfgbhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~(k9\_finseq\_1~X0)){\unicdcdcdhd}(v1\_funct\_1~(k9\_finseq\_1~\\
X0))\end{array}
\label{hyp:egehpflgjdpfggjgogdhfgbhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  k10\_finseq\_1~X0~X1=k7\_finseq\_1~(k9\_finseq\_1~\\
X0)~(k9\_finseq\_1~X1)\end{array}
\label{hyp:egjdpfggjgogdhfgbhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  k8\_finseq\_4~\\
X0~X1~X2~X3~X4=k7\_finseq\_1~(k11\_finseq\_1~X0~X1~X2)~(k10\_finseq\_1~\\
X3~X4)\end{array}
\label{hyp:egidpfggjgogdhfgbhpfed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  k7\_finseq\_4~X0~X1~\\
X2~X3=k7\_finseq\_1~(k11\_finseq\_1~X0~X1~X2)~(k9\_finseq\_1~X3)\end{array}
\label{hyp:eghdpfggjgogdhfgbhpfed}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  k11\_finseq\_1~X0~X1~X2=k7\_finseq\_1~\\
(k7\_finseq\_1~(k9\_finseq\_1~X0)~(k9\_finseq\_1~X1))~(k9\_finseq\_1~\\
X2)\end{array}
\label{hyp:egbdadpfggjgogdhfgbhpfbd}
\end{equation}
\begin{theorem}\label{thm:ehhdfdpfggjgogdhfgbhpfed}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  (k8\_finseq\_4~\\
X0~X1~X2~X3~X4=k7\_finseq\_1~(k11\_finseq\_1~X0~X1~X2)~(k10\_finseq\_1~\\
X3~X4)){\unicdcdcdhd}((k8\_finseq\_4~X0~X1~X2~X3~X4=k7\_finseq\_1~(k7\_finseq\_4~X0~\\
X1~X2~X3)~(k9\_finseq\_1~X4)){\unicdcdcdhd}((k8\_finseq\_4~X0~X1~X2~X3~X4=k7\_finseq\_1~\\
(k7\_finseq\_1~(k7\_finseq\_1~(k7\_finseq\_1~(k9\_finseq\_1~X0)~(k9\_finseq\_1~\\
X1))~(k9\_finseq\_1~X2))~(k9\_finseq\_1~X3))~(k9\_finseq\_1~X4)){\unicdcdcdhd}((\\
k8\_finseq\_4~X0~X1~X2~X3~X4=k7\_finseq\_1~(k10\_finseq\_1~X0~X1)~(k11\_finseq\_1~\\
X2~X3~X4)){\unicdcdcdhd}(k8\_finseq\_4~X0~X1~X2~X3~X4=k7\_finseq\_1~(k9\_finseq\_1~\\
X0)~(k7\_finseq\_4~X1~X2~X3~X4)))))\end{array}$$
\end{theorem}
\end{document}
