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\newtheorem{conjecture}{Conjecture}
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\begin{document}
\title{t34\_setwop\_2 (TMLvjC12vYz1eLtTKDxSN3o4rh5AyncoTyf)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_binop\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v2\_binop\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_setwiseo : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k5\_binop\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k1\_finsop\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k1\_finseqop : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}}$ be given.
Let $ k4\_binop\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~X0){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  ((v1\_funct\_1~X2){\unicdcdcdhd}((v1\_funct\_2~X2~(k2\_zfmisc\_1~X0~\\
X0)~X0){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k2\_zfmisc\_1~\\
X0~X0)~X0))))){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v1\_funct\_1~X3){\unicdcdcdhd}((v1\_funct\_2~X3~(\\
k2\_zfmisc\_1~X0~X0)~X0){\unicdcdcdhd}(m1\_subset\_1~X3~(k1\_zfmisc\_1~(k2\_zfmisc\_1~\\
(k2\_zfmisc\_1~X0~X0)~X0))))){\unicdbdjdcd}({\unicdcdadad} X4 .  (m2\_finseq\_1~X4~X0){\unicdbdjdcd}(\\
{\unicdcdadad} X5 .  (m2\_finseq\_1~X5~X0){\unicdbdjdcd}(((v1\_binop\_1~X2~X0){\unicdcdcdhd}((v2\_binop\_1~\\
X2~X0){\unicdcdcdhd}((v1\_setwiseo~X2~X0){\unicdcdcdhd}((X1=k4\_binop\_1~X0~X2){\unicdcdcdhd}((k5\_binop\_1~\\
X0~X3~X1~X1=X1){\unicdcdcdhd}(({\unicdcdadad} X6 .  (m1\_subset\_1~X6~X0){\unicdbdjdcd}({\unicdcdadad} X7 .  (\\
m1\_subset\_1~X7~X0){\unicdbdjdcd}({\unicdcdadad} X8 .  (m1\_subset\_1~X8~X0){\unicdbdjdcd}({\unicdcdadad} X9 .  \\
(m1\_subset\_1~X9~X0){\unicdbdjdcd}(k5\_binop\_1~X0~X2~(k5\_binop\_1~X0~X3~X6~X7)~(k5\_binop\_1~\\
X0~X3~X8~X9)=k5\_binop\_1~X0~X3~(k5\_binop\_1~X0~X2~X6~X8)~(k5\_binop\_1~\\
X0~X2~X7~X9)))))){\unicdcdcdhd}(k3\_finseq\_1~X4=k3\_finseq\_1~X5))))))){\unicdbdjdcd}(k5\_binop\_1~\\
X0~X3~(k1\_finsop\_1~X0~X4~X2)~(k1\_finsop\_1~X0~X5~X2)=k1\_finsop\_1~X0~\\
(k1\_finseqop~X0~X0~X0~X3~X4~X5)~X2)))))))\end{array}
\label{hyp:ehddcdpfdhfgehhhpgahpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_funct\_1~X1){\unicdcdcdhd}(\\
(v1\_funct\_2~X1~(k2\_zfmisc\_1~X0~X0)~X0){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~(k2\_zfmisc\_1~X0~X0)~X0))))){\unicdbdjdcd}((v1\_setwiseo~X1~X0){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  (m1\_subset\_1~X2~X0){\unicdbdjdcd}((k5\_binop\_1~X0~X1~(k4\_binop\_1~\\
X0~X1)~X2=X2){\unicdcdcdhd}(k5\_binop\_1~X0~X1~X2~(k4\_binop\_1~X0~X1)=X2)))))\end{array}
\label{hyp:ehbdfdpfdhfgehhhjgdhfgpg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_funct\_1~X1){\unicdcdcdhd}(\\
(v1\_funct\_2~X1~(k2\_zfmisc\_1~X0~X0)~X0){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~(k2\_zfmisc\_1~X0~X0)~X0))))){\unicdbdjdcd}(((v1\_binop\_1~X1~X0){\unicdcdcdhd}\\
(v2\_binop\_1~X1~X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~X0){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
(m1\_subset\_1~X3~X0){\unicdbdjdcd}({\unicdcdadad} X4 .  (m1\_subset\_1~X4~X0){\unicdbdjdcd}({\unicdcdadad} X5 .  \\
(m1\_subset\_1~X5~X0){\unicdbdjdcd}(k5\_binop\_1~X0~X1~(k5\_binop\_1~X0~X1~X2~X3)~(k5\_binop\_1~\\
X0~X1~X4~X5)=k5\_binop\_1~X0~X1~(k5\_binop\_1~X0~X1~X2~X4)~(k5\_binop\_1~\\
X0~X1~X3~X5))))))))\end{array}
\label{hyp:mgbdcdpfdhfgehhhpgahpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((v1\_funct\_1~X1){\unicdcdcdhd}((v1\_funct\_2~X1~(k2\_zfmisc\_1~\\
X0~X0)~X0){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k2\_zfmisc\_1~\\
X0~X0)~X0))))){\unicdbdjdcd}(m1\_subset\_1~(k4\_binop\_1~X0~X1)~X0)\end{array}
\label{hyp:egehpflgedpfcgjgogpgahpfbd}
\end{equation}
\begin{theorem}\label{thm:ehddedpfdhfgehhhpgahpfcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_funct\_1~X1){\unicdcdcdhd}(\\
(v1\_funct\_2~X1~(k2\_zfmisc\_1~X0~X0)~X0){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~(k2\_zfmisc\_1~X0~X0)~X0))))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m2\_finseq\_1~\\
X2~X0){\unicdbdjdcd}({\unicdcdadad} X3 .  (m2\_finseq\_1~X3~X0){\unicdbdjdcd}(((v1\_binop\_1~X1~X0){\unicdcdcdhd}(\\
(v2\_binop\_1~X1~X0){\unicdcdcdhd}((v1\_setwiseo~X1~X0){\unicdcdcdhd}(k3\_finseq\_1~X2=k3\_finseq\_1~\\
X3)))){\unicdbdjdcd}(k5\_binop\_1~X0~X1~(k1\_finsop\_1~X0~X2~X1)~(k1\_finsop\_1~X0~\\
X3~X1)=k1\_finsop\_1~X0~(k1\_finseqop~X0~X0~X0~X1~X2~X3)~X1)))))\end{array}$$
\end{theorem}
\end{document}
