\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{t22\_fomodel2 (TMKHmsPye1LkMGqX8FTe17wvDVEKooUVjpi)}
\maketitle
Let $ v6\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v11\_fomodel1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_fomodel1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_fomodel1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_fomodel1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v4\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m2\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k3\_finseq\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k15\_fomodel1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k6\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k32\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k30\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k31\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_fomodel2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v6\_struct\_0~X0){\unicdcdcdhd}((v11\_fomodel1~X0){\unicdcdcdhd}(l1\_fomodel1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v4\_fomodel2~X1~X0){\unicdcdcdhd}(m2\_subset\_1~X1~(k3\_finseq\_2~\\
(k15\_fomodel1~X0))~(k6\_subset\_1~(k3\_finseq\_2~(k15\_fomodel1~X0))~\\
(k1\_tarski~k1\_xboole\_0)))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v4\_fomodel2~X2~X0){\unicdcdcdhd}\\
(m2\_subset\_1~X2~(k3\_finseq\_2~(k15\_fomodel1~X0))~(k6\_subset\_1~\\
(k3\_finseq\_2~(k15\_fomodel1~X0))~(k1\_tarski~k1\_xboole\_0)))){\unicdbdjdcd}\\
((\preoh r1\_xxreal\_0~(k32\_fomodel2~X0~(k30\_fomodel2~X0~(k30\_fomodel2~\\
X0~(k31\_fomodel2~X0~(k1\_fomodel2~X0))~X1)~X2))~(k32\_fomodel2~X0~\\
X1)){\unicdcdcdhd}(\preoh r1\_xxreal\_0~(k32\_fomodel2~X0~(k30\_fomodel2~X0~(k30\_fomodel2~\\
X0~(k31\_fomodel2~X0~(k1\_fomodel2~X0))~X1)~X2))~(k32\_fomodel2~X0~\\
X2)))))\end{array}
\label{hyp:mghdidpfggpgngpgegfgmgcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v6\_struct\_0~X0){\unicdcdcdhd}((v11\_fomodel1~X0){\unicdcdcdhd}(l1\_fomodel1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v4\_fomodel1~X1~X0){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_fomodel1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v4\_fomodel2~X2~X0){\unicdcdcdhd}(m2\_subset\_1~X2~(k3\_finseq\_2~\\
(k15\_fomodel1~X0))~(k6\_subset\_1~(k3\_finseq\_2~(k15\_fomodel1~X0))~\\
(k1\_tarski~k1\_xboole\_0)))){\unicdbdjdcd}(\preoh r1\_xxreal\_0~(k32\_fomodel2~X0~(\\
k30\_fomodel2~X0~(k31\_fomodel2~X0~X1)~X2))~(k32\_fomodel2~X0~X2))))\end{array}
\label{hyp:mghdfdpfggpgngpgegfgmgcd}
\end{equation}
\begin{theorem}\label{thm:ehcdcdpfggpgngpgegfgmgcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v6\_struct\_0~X0){\unicdcdcdhd}((v11\_fomodel1~X0){\unicdcdcdhd}(l1\_fomodel1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v4\_fomodel1~X1~X0){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_fomodel1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v4\_fomodel2~X2~X0){\unicdcdcdhd}(m2\_subset\_1~X2~(k3\_finseq\_2~\\
(k15\_fomodel1~X0))~(k6\_subset\_1~(k3\_finseq\_2~(k15\_fomodel1~X0))~\\
(k1\_tarski~k1\_xboole\_0)))){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v4\_fomodel2~X3~X0){\unicdcdcdhd}\\
(m2\_subset\_1~X3~(k3\_finseq\_2~(k15\_fomodel1~X0))~(k6\_subset\_1~\\
(k3\_finseq\_2~(k15\_fomodel1~X0))~(k1\_tarski~k1\_xboole\_0)))){\unicdbdjdcd}\\
((\preoh r1\_xxreal\_0~(k32\_fomodel2~X0~(k30\_fomodel2~X0~(k31\_fomodel2~\\
X0~X1)~X2))~(k32\_fomodel2~X0~X2)){\unicdcdcdhd}((\preoh r1\_xxreal\_0~(k32\_fomodel2~\\
X0~(k30\_fomodel2~X0~(k30\_fomodel2~X0~(k31\_fomodel2~X0~(k1\_fomodel2~\\
X0))~X2)~X3))~(k32\_fomodel2~X0~X2)){\unicdcdcdhd}(\preoh r1\_xxreal\_0~(k32\_fomodel2~\\
X0~(k30\_fomodel2~X0~(k30\_fomodel2~X0~(k31\_fomodel2~X0~(k1\_fomodel2~\\
X0))~X2)~X3))~(k32\_fomodel2~X0~X3)))))))\end{array}$$
\end{theorem}
\end{document}
