\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\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
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\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
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\begin{document}
\title{t4\_goedelcp (TMFfamNb2hvH1uRzJUx1gzi8X7AncqmDwqJ)}
\maketitle
Let $ m1\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m2\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k9\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_cqc\_lang : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_henmodel : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m1\_henmodel : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ v1\_goedelcp : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v2\_goedelcp : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_valuat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}}$ be given.
Let $ k1\_henmodel : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_henmodel : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_henmodel : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k6\_cqc\_lang : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m2\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ be given.
Let $ k3\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_valuat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ m1\_valuat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_qc\_lang1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}(\\
{\unicdcdadad} X2 .  (m2\_funct\_2~X2~(k3\_qc\_lang1~X0)~X1~(k2\_valuat\_1~X0~X1)){\unicdbdjdcd}\\
({\unicdcdadad} X3 .  (m2\_subset\_1~X3~(k9\_qc\_lang1~X0)~(k3\_cqc\_lang~X0)){\unicdbdjdcd}\\
({\unicdcdadad} X4 .  (m1\_valuat\_1~X4~X0~X1){\unicdbdjdcd}((r1\_valuat\_1~X0~X1~(k6\_cqc\_lang~\\
X0~X3)~X4~X2){\unicdbdjded}(\preoh r1\_valuat\_1~X0~X1~X3~X4~X2))))))\end{array}
\label{hyp:ehbdhdpfghbgmgfhbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((m1\_qc\_lang1~X0){\unicdcdcdhd}((v1\_henmodel~X1~X0){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k3\_cqc\_lang~X0))))){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(m1\_henmodel~X2~X0~X1){\unicdbdjdcd}(m1\_valuat\_1~X2~X0~(k1\_henmodel~X0)))\end{array}
\label{hyp:egehpfngbdpfigfgogngpgegfgmg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_qc\_lang1~X0){\unicdbdjdcd}(m2\_funct\_2~(k3\_henmodel~X0)~(k3\_qc\_lang1~\\
X0)~(k1\_henmodel~X0)~(k2\_valuat\_1~X0~(k1\_henmodel~X0)))\end{array}
\label{hyp:egehpflgddpfigfgogngpgegfgmg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{m1\_qc\_lang1}~{X0}})}{\unicdbdjdcd}{({\preoh{{{v1\_xboole\_0}~{({{k1\_henmodel}~{X0}})}}}})}}}\label{hyp:egehpflgbdpfigfgogngpgegfgmg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_qc\_lang1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k3\_cqc\_lang~X0))){\unicdbdjdcd}((v1\_henmodel~X1~X0){\unicdbdjded}({\unicdcdadad} X2 .  (m2\_subset\_1~\\
X2~(k9\_qc\_lang1~X0)~(k3\_cqc\_lang~X0)){\unicdbdjdcd}(\preoh (r1\_henmodel~X0~X1~X2){\unicdcdcdhd}\\
(r1\_henmodel~X0~X1~(k6\_cqc\_lang~X0~X2))))))\end{array}
\label{hyp:egcdpfigfgogngpgegfgmg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_qc\_lang1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k3\_cqc\_lang~X0))){\unicdbdjdcd}((v1\_goedelcp~X1~X0){\unicdbdjded}({\unicdcdadad} X2 .  (m2\_subset\_1~\\
X2~(k9\_qc\_lang1~X0)~(k3\_cqc\_lang~X0)){\unicdbdjdcd}((r1\_henmodel~X0~X1~X2){\unicdcdcdid}\\
(r1\_henmodel~X0~X1~(k6\_cqc\_lang~X0~X2))))))\end{array}
\label{hyp:egbdpfhgpgfgegfgmgdgah}
\end{equation}
\begin{theorem}\label{thm:ehedpfhgpgfgegfgmgdgah}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m1\_qc\_lang1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m2\_subset\_1~X1~(k9\_qc\_lang1~\\
X0)~(k3\_cqc\_lang~X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_henmodel~X2~X0){\unicdcdcdhd}(m1\_subset\_1~\\
X2~(k1\_zfmisc\_1~(k3\_cqc\_lang~X0)))){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_henmodel~\\
X3~X0~X2){\unicdbdjdcd}(((v1\_goedelcp~X2~X0){\unicdcdcdhd}(v2\_goedelcp~X2~X0)){\unicdbdjdcd}(((v1\_goedelcp~\\
X2~X0){\unicdcdcdhd}((v2\_goedelcp~X2~X0){\unicdcdcdhd}(\preoh (r1\_valuat\_1~X0~(k1\_henmodel~X0)~\\
X1~X3~(k3\_henmodel~X0)){\unicdbdjded}(r1\_henmodel~X0~X2~X1)))){\unicdcdcdid}((r1\_valuat\_1~\\
X0~(k1\_henmodel~X0)~(k6\_cqc\_lang~X0~X1)~X3~(k3\_henmodel~X0)){\unicdbdjded}(r1\_henmodel~\\
X0~X2~(k6\_cqc\_lang~X0~X1))))))))\end{array}$$
\end{theorem}
\end{document}
