\documentclass{article}
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\newtheorem{lemma}{Lemma}
\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{t11\_functor1 (TMTQ3kasDoEiEX1aYuDXH5PKJqjWRvY9Mvj)}
\maketitle
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_altcat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_altcat\_2 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v8\_functor0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ l2\_functor0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ v20\_functor0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k13\_functor0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}$ be given.
Let $ v18\_functor0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ v5\_functor0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ v9\_functor0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l1\_altcat\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((v1\_altcat\_2~X1){\unicdcdcdhd}(l1\_altcat\_1~X1))){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
((\preoh v2\_struct\_0~X2){\unicdcdcdhd}((v1\_altcat\_2~X2){\unicdcdcdhd}(l1\_altcat\_1~X2))){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
((v8\_functor0~X3~X0~X1){\unicdcdcdhd}(l2\_functor0~X3~X0~X1)){\unicdbdjdcd}({\unicdcdadad} X4 .  (l2\_functor0~\\
X4~X1~X2){\unicdbdjdcd}(((v18\_functor0~X3~X0~X1){\unicdcdcdhd}(v18\_functor0~X4~X1~X2)){\unicdbdjdcd}(v18\_functor0~\\
(k13\_functor0~X0~X1~X2~X3~X4)~X0~X2))))))\end{array}
\label{hyp:ehjdpfggfhogdgehpgchbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l1\_altcat\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((v1\_altcat\_2~X1){\unicdcdcdhd}(l1\_altcat\_1~X1))){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
((\preoh v2\_struct\_0~X2){\unicdcdcdhd}((v1\_altcat\_2~X2){\unicdcdcdhd}(l1\_altcat\_1~X2))){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
((v8\_functor0~X3~X0~X1){\unicdcdcdhd}(l2\_functor0~X3~X0~X1)){\unicdbdjdcd}({\unicdcdadad} X4 .  (l2\_functor0~\\
X4~X1~X2){\unicdbdjdcd}(((v5\_functor0~X3~X0~X1){\unicdcdcdhd}(v5\_functor0~X4~X1~X2)){\unicdbdjdcd}(v5\_functor0~\\
(k13\_functor0~X0~X1~X2~X3~X4)~X0~X2))))))\end{array}
\label{hyp:ehidpfggfhogdgehpgchbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  {\unicdcdadad} X4 .  (((\preoh v2\_struct\_0~\\
X0){\unicdcdcdhd}(l1\_altcat\_1~X0)){\unicdcdcdhd}(((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((v1\_altcat\_2~X1){\unicdcdcdhd}\\
(l1\_altcat\_1~X1))){\unicdcdcdhd}(((\preoh v2\_struct\_0~X2){\unicdcdcdhd}((v1\_altcat\_2~X2){\unicdcdcdhd}(\\
l1\_altcat\_1~X2))){\unicdcdcdhd}(((v8\_functor0~X3~X0~X1){\unicdcdcdhd}(l2\_functor0~X3~X0~\\
X1)){\unicdcdcdhd}(l2\_functor0~X4~X1~X2))))){\unicdbdjdcd}((v9\_functor0~(k13\_functor0~\\
X0~X1~X2~X3~X4)~X0~X2){\unicdcdcdhd}(l2\_functor0~(k13\_functor0~X0~X1~X2~X3~X4)~X0~\\
X2))\end{array}
\label{hyp:egehpflgbdddpfggfhogdgehpgchad}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (l1\_altcat\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (l1\_altcat\_1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(l2\_functor0~X2~X0~X1){\unicdbdjdcd}((v20\_functor0~X2~X0~X1){\unicdbdjded}((v18\_functor0~\\
X2~X0~X1){\unicdcdcdhd}(v5\_functor0~X2~X0~X1)))))\end{array}
\label{hyp:egddedpfggfhogdgehpgchad}
\end{equation}
\begin{theorem}\label{thm:ehbdbdpfggfhogdgehpgchbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v2\_struct\_0~X0){\unicdcdcdhd}(l1\_altcat\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  \\
((\preoh v2\_struct\_0~X1){\unicdcdcdhd}((v1\_altcat\_2~X1){\unicdcdcdhd}(l1\_altcat\_1~X1))){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
((\preoh v2\_struct\_0~X2){\unicdcdcdhd}((v1\_altcat\_2~X2){\unicdcdcdhd}(l1\_altcat\_1~X2))){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
((v8\_functor0~X3~X0~X1){\unicdcdcdhd}(l2\_functor0~X3~X0~X1)){\unicdbdjdcd}({\unicdcdadad} X4 .  (l2\_functor0~\\
X4~X1~X2){\unicdbdjdcd}(((v20\_functor0~X3~X0~X1){\unicdcdcdhd}(v20\_functor0~X4~X1~X2)){\unicdbdjdcd}(v20\_functor0~\\
(k13\_functor0~X0~X1~X2~X3~X4)~X0~X2))))))\end{array}$$
\end{theorem}
\end{document}
