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\newtheorem{conjecture}{Conjecture}
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\begin{document}
\title{t82\_cohsp\_1 (TMPSXSDmJ2rPno9TwVyBhH7N6zE1Lt9wCia)}
\maketitle
Let $ k3\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k14\_cohsp\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ r1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_card\_3 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_card\_3 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k10\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (k2\_zfmisc\_1~(k3\_xboole\_0~X0~\\
X1)~X2=k3\_xboole\_0~(k2\_zfmisc\_1~X0~X2)~(k2\_zfmisc\_1~X1~X2)){\unicdcdcdhd}(k2\_zfmisc\_1~\\
X2~(k3\_xboole\_0~X0~X1)=k3\_xboole\_0~(k2\_zfmisc\_1~X2~X0)~(k2\_zfmisc\_1~\\
X2~X1))\end{array}
\label{hyp:ehjdjdpfkhggngjgdhdgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  k14\_cohsp\_1~X0~X1=k2\_xboole\_0~(k2\_zfmisc\_1~\\
X0~(k1\_tarski~np\_\_1))~(k2\_zfmisc\_1~X1~(k1\_tarski~np\_\_2))\end{array}
\label{hyp:ehhdddpfdgpgigdhahpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  k3\_xboole\_0~X0~(k2\_xboole\_0~\\
X1~X2)=k2\_xboole\_0~(k3\_xboole\_0~X0~X1)~(k3\_xboole\_0~X0~X2)\end{array}
\label{hyp:ehcdddpfihcgpgpgmgfgpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{{k2\_xboole\_0}~{X0}}~{k1\_xboole\_0}}={X0}}}\label{hyp:ehbdpfcgpgpgmgfg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (X0{\unicdcdgdad}X1){\unicdbdjdcd}(r1\_xboole\_0~(k1\_tarski~X0)~(k1\_tarski~\\
X1))\end{array}
\label{hyp:ehbdbdpfkhggngjgdhdgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  ((r1\_xboole\_0~X0~\\
X1){\unicdcdcdid}(r1\_xboole\_0~X2~X3)){\unicdbdjdcd}(r1\_xboole\_0~(k2\_zfmisc\_1~X0~X2)~(k2\_zfmisc\_1~\\
X1~X3))\end{array}
\label{hyp:ehbdadedpfkhggngjgdhdgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (r1\_xboole\_0~X0~X1){\unicdbdjded}(k3\_xboole\_0~X0~X1=\\
k1\_xboole\_0)\end{array}
\label{hyp:eghdpfihcgpgpgmgfgpfad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  k14\_cohsp\_1~X0~X1=k3\_card\_3~(k2\_card\_3~\\
(k10\_finseq\_1~X0~X1))\end{array}
\label{hyp:egcdcdpfdgpgigdhahpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{{{k3\_xboole\_0}~{X0}}~{X1}}={{{k3\_xboole\_0}~{X1}}~{X0}}}}}\label{hyp:dgpgngngfhehbgehjgghjgehjhpflgddpfihcgpgpgmgfgpfad}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{{{k2\_xboole\_0}~{X0}}~{X1}}={{{k2\_xboole\_0}~{X1}}~{X0}}}}}\label{hyp:dgpgngngfhehbgehjgghjgehjhpflgcdpfihcgpgpgmgfgpfad}
\end{equation}
\begin{theorem}\label{thm:ehidcdpfdgpgigdhahpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  k3\_xboole\_0~(k14\_cohsp\_1~\\
X0~X1)~(k14\_cohsp\_1~X2~X3)=k14\_cohsp\_1~(k3\_xboole\_0~X0~X2)~(k3\_xboole\_0~\\
X1~X3)\end{array}$$
\end{theorem}
\end{document}
