\documentclass{article}
\newtheorem{axiom}{Axiom}
\newtheorem{theorem}{Theorem}
\newtheorem{lemma}{Lemma}
\newtheorem{proposition}{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
\newcommand\unicdcdcdhd{\land}
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\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t17\_goedelcp (TMSbaxTQVCo1nF2J8WnvkmUMRDshJ6Vcmv2)}
\maketitle
Let $ m1\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{o}}$ 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 $ k3\_cqc\_lang : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m1\_henmodel : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\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 $ 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 $ r1\_xxreal\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k7\_cqc\_sim1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ k2\_nat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_qc\_lang1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((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}({\unicdcdadad} X3 .  (m2\_subset\_1~X3~(k9\_qc\_lang1~\\
X0)~(k3\_cqc\_lang~X0)){\unicdbdjdcd}(((r1\_xxreal\_0~(k7\_cqc\_sim1~X0~X3)~k6\_numbers){\unicdcdcdhd}\\
((v1\_goedelcp~X1~X0){\unicdcdcdhd}(v2\_goedelcp~X1~X0))){\unicdbdjdcd}((r1\_valuat\_1~X0~(\\
k1\_henmodel~X0)~X3~X2~(k3\_henmodel~X0)){\unicdbdjded}(r1\_henmodel~X0~X1~X3))))))\end{array}
\label{hyp:ehidpfhgpgfgegfgmgdgah}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_qc\_lang1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((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}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~k5\_numbers){\unicdbdjdcd}\\
(({\unicdcdadad} X4 .  (m2\_subset\_1~X4~(k9\_qc\_lang1~X0)~(k3\_cqc\_lang~X0)){\unicdbdjdcd}\\
(((r1\_xxreal\_0~(k7\_cqc\_sim1~X0~X4)~X3){\unicdcdcdhd}((v1\_goedelcp~X1~X0){\unicdcdcdhd}(\\
v2\_goedelcp~X1~X0))){\unicdbdjdcd}((r1\_valuat\_1~X0~(k1\_henmodel~X0)~X4~X2~(k3\_henmodel~\\
X0)){\unicdbdjded}(r1\_henmodel~X0~X1~X4)))){\unicdbdjdcd}({\unicdcdadad} X4 .  (m2\_subset\_1~X4~(k9\_qc\_lang1~\\
X0)~(k3\_cqc\_lang~X0)){\unicdbdjdcd}(((r1\_xxreal\_0~(k7\_cqc\_sim1~X0~X4)~(k2\_nat\_1~\\
X3~np\_\_1)){\unicdcdcdhd}((v1\_goedelcp~X1~X0){\unicdcdcdhd}(v2\_goedelcp~X1~X0))){\unicdbdjdcd}((r1\_valuat\_1~\\
X0~(k1\_henmodel~X0)~X4~X2~(k3\_henmodel~X0)){\unicdbdjded}(r1\_henmodel~X0~X1~X4))))))))\end{array}
\label{hyp:ehbdgdpfhgpgfgegfgmgdgah}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 : \iota{\unicdbdjdcd}o .  {\unicdcdadad} X1 .  (({\unicdcdadad} X2 .  (m2\_subset\_1~X2~\\
(k9\_qc\_lang1~X1)~(k3\_cqc\_lang~X1)){\unicdbdjdcd}((r1\_xxreal\_0~(k7\_cqc\_sim1~\\
X1~X2)~k6\_numbers){\unicdbdjdcd}(X0~X2))){\unicdcdcdhd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~k5\_numbers){\unicdbdjdcd}\\
(({\unicdcdadad} X3 .  (m2\_subset\_1~X3~(k9\_qc\_lang1~X1)~(k3\_cqc\_lang~X1)){\unicdbdjdcd}\\
((r1\_xxreal\_0~(k7\_cqc\_sim1~X1~X3)~X2){\unicdbdjdcd}(X0~X3))){\unicdbdjdcd}({\unicdcdadad} X3 .  (\\
m2\_subset\_1~X3~(k9\_qc\_lang1~X1)~(k3\_cqc\_lang~X1)){\unicdbdjdcd}((r1\_xxreal\_0~\\
(k7\_cqc\_sim1~X1~X3)~(k2\_nat\_1~X2~np\_\_1)){\unicdbdjdcd}(X0~X3)))))){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(m2\_subset\_1~X2~(k9\_qc\_lang1~X1)~(k3\_cqc\_lang~X1)){\unicdbdjdcd}(X0~X2))\end{array}
\label{hyp:dhcdpfdhfhcgdhehfhehcd}
\end{equation}
\begin{theorem}\label{thm:ehbdhdpfhgpgfgegfgmgdgah}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m1\_qc\_lang1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  ((v1\_henmodel~X1~X0){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~(k3\_cqc\_lang~X0)))){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
(m1\_henmodel~X2~X0~X1){\unicdbdjdcd}({\unicdcdadad} X3 .  (m2\_subset\_1~X3~(k9\_qc\_lang1~\\
X0)~(k3\_cqc\_lang~X0)){\unicdbdjdcd}(((v1\_goedelcp~X1~X0){\unicdcdcdhd}(v2\_goedelcp~X1~X0)){\unicdbdjdcd}\\
((r1\_valuat\_1~X0~(k1\_henmodel~X0)~X3~X2~(k3\_henmodel~X0)){\unicdbdjded}(r1\_henmodel~\\
X0~X1~X3))))))\end{array}$$
\end{theorem}
\end{document}
