\documentclass{article}
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\newtheorem{proposition}{Proposition}
\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{t39\_msualg\_2 (TMRcz6JmAWxnWGiS6KcYAgAgPbo3FizwMte)}
\maketitle
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v11\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_msualg\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l3\_msualg\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m3\_pboole : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ u3\_msualg\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k5\_msualg\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k6\_msualg\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k9\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k9\_setfam\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_card\_3 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v3\_msualg\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ r2\_pboole : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k2\_msualg\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (r1\_tarski~X0~X1){\unicdbdjded}({\unicdcdadad} X2 .  (X2 \in X0){\unicdbdjdcd}\\
(X2 \in X1))\end{array}
\label{hyp:egddpfehbgchdhlgjg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((\preoh v11\_struct\_0~X0){\unicdcdcdhd}(l1\_msualg\_1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  (l3\_msualg\_1~X1~X0){\unicdbdjdcd}({\unicdcdadad} X2 .  (X2=k6\_msualg\_2~\\
X0~X1){\unicdbdjded}({\unicdcdadad} X3 .  (X3 \in X2){\unicdbdjded}((X3 \in k9\_funct\_2~(u1\_struct\_0~X0)~\\
(k9\_setfam\_1~(k3\_card\_3~(u3\_msualg\_1~X0~X1)))){\unicdcdcdhd}((m3\_pboole~X3~\\
(u1\_struct\_0~X0)~(u3\_msualg\_1~X0~X1)){\unicdcdcdhd}({\unicdcdadad} X4 .  (m3\_pboole~\\
X4~(u1\_struct\_0~X0)~(u3\_msualg\_1~X0~X1)){\unicdbdjdcd}((X4=X3){\unicdbdjdcd}(v3\_msualg\_2~\\
X4~X0~X1))))))))\end{array}
\label{hyp:egbdbdpfngdhfhbgmghgpfcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((\preoh v11\_struct\_0~X0){\unicdcdcdhd}(l1\_msualg\_1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  (l3\_msualg\_1~X1~X0){\unicdbdjdcd}({\unicdcdadad} X2 .  (m3\_pboole~\\
X2~(u1\_struct\_0~X0)~(u3\_msualg\_1~X0~X1)){\unicdbdjdcd}({\unicdcdadad} X3 .  (X3=k5\_msualg\_2~\\
X0~X1~X2){\unicdbdjded}({\unicdcdadad} X4 .  (X4 \in X3){\unicdbdjded}((X4 \in k9\_funct\_2~(u1\_struct\_0~X0)~\\
(k9\_setfam\_1~(k3\_card\_3~(u3\_msualg\_1~X0~X1)))){\unicdcdcdhd}((m3\_pboole~X4~\\
(u1\_struct\_0~X0)~(u3\_msualg\_1~X0~X1)){\unicdcdcdhd}({\unicdcdadad} X5 .  (m3\_pboole~\\
X5~(u1\_struct\_0~X0)~(u3\_msualg\_1~X0~X1)){\unicdbdjdcd}((X5=X4){\unicdbdjdcd}((v3\_msualg\_2~\\
X5~X0~X1){\unicdcdcdhd}((r2\_pboole~(u1\_struct\_0~X0)~(k2\_msualg\_2~X0~X1)~X5){\unicdcdcdhd}\\
(r2\_pboole~(u1\_struct\_0~X0)~X2~X5)))))))))))\end{array}
\label{hyp:egbdadpfngdhfhbgmghgpfcd}
\end{equation}
\begin{theorem}\label{thm:ehddjdpfngdhfhbgmghgpfcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}((\preoh v11\_struct\_0~X0){\unicdcdcdhd}(l1\_msualg\_1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  (l3\_msualg\_1~X1~X0){\unicdbdjdcd}({\unicdcdadad} X2 .  (m3\_pboole~\\
X2~(u1\_struct\_0~X0)~(u3\_msualg\_1~X0~X1)){\unicdbdjdcd}(r1\_tarski~(k5\_msualg\_2~\\
X0~X1~X2)~(k6\_msualg\_2~X0~X1))))\end{array}$$
\end{theorem}
\end{document}
