\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=}
\newcommand\unicdcdcdbg{\cup}
\newcommand\unicdcdbdgd{\setminus}
\newcommand\unicdcdcdjd{\cap}
\newcommand\unicdcdadad{\forall}
\newcommand\unicdbdjdcd{\Rightarrow}
\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
\newcommand\unicdcdcdhd{\land}
\newcommand\uniddcgcg{\lambda}
\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t35\_cqc\_sim1 (TMVZB8B6abNeFGAWYadRHAPTw6z8WWLub8G)}
\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 $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k5\_finsub\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m2\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ be given.
Let $ k9\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k5\_domain\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}}}}$ be given.
Let $ k15\_cqc\_sim1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ r2\_qc\_lang2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k2\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k11\_cqc\_lang : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k7\_cqc\_lang : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k6\_cqc\_lang : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k13\_cqc\_sim1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_setwiseo : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k11\_cqc\_sim1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k30\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k7\_cqc\_sim1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k28\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_domain\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_funct\_4 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k16\_funcop\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_qc\_lang3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k14\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k15\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_qc\_lang1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k9\_qc\_lang1~\\
X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(k9\_qc\_lang1~X0)){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
(m1\_subset\_1~X3~(k9\_qc\_lang1~X0)){\unicdbdjdcd}(((r2\_qc\_lang2~X0~X1~X2){\unicdcdcdhd}(r2\_qc\_lang2~\\
X0~X2~X3)){\unicdbdjdcd}(r2\_qc\_lang2~X0~X1~X3)))))\end{array}
\label{hyp:ehfdhdpfbhdgpfmgbgoghgcd}
\end{equation}
Assume the following.
\begin{equation}
\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 .  (m2\_subset\_1~X2~(k2\_qc\_lang1~\\
X0)~(k3\_qc\_lang1~X0)){\unicdbdjdcd}(r2\_qc\_lang2~X0~X1~(k11\_cqc\_lang~X0~X2~X1))))\end{array}
\label{hyp:ehbdcdpfdgbhdgpfdhjgngbd}
\end{equation}
Assume the following.
\begin{equation}
\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 .  (m2\_subset\_1~X2~(k9\_qc\_lang1~\\
X0)~(k3\_cqc\_lang~X0)){\unicdbdjdcd}((r2\_qc\_lang2~X0~X1~(k7\_cqc\_lang~X0~X1~X2)){\unicdcdcdhd}\\
(r2\_qc\_lang2~X0~X2~(k7\_cqc\_lang~X0~X1~X2)))))\end{array}
\label{hyp:ehbdbdpfdgbhdgpfdhjgngbd}
\end{equation}
Assume the following.
\begin{equation}
\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}(r2\_qc\_lang2~X0~X1~(k6\_cqc\_lang~X0~X1)))\end{array}
\label{hyp:ehbdadpfdgbhdgpfdhjgngbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 : \iota{\unicdbdjdcd}\iota{\unicdbdjdcd}\iota{\unicdbdjdcd}\iota{\unicdbdjdcd}o .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((m1\_qc\_lang1~\\
X2){\unicdcdcdhd}(m2\_subset\_1~X1~(k9\_qc\_lang1~X2)~(k3\_cqc\_lang~X2))){\unicdbdjdcd}(((X0~\\
X1~(k13\_cqc\_sim1~X2~X1)~(k1\_setwiseo~(k3\_qc\_lang1~X2))~(k11\_cqc\_sim1~\\
(k3\_qc\_lang1~X2))){\unicdcdcdhd}(({\unicdcdadad} X3 .  (m2\_subset\_1~X3~(k9\_qc\_lang1~\\
X2)~(k3\_cqc\_lang~X2)){\unicdbdjdcd}({\unicdcdadad} X4 .  (m1\_subset\_1~X4~(k1\_qc\_lang1~\\
X2)){\unicdbdjdcd}({\unicdcdadad} X5 .  (m1\_subset\_1~X5~(k5\_finsub\_1~(k3\_qc\_lang1~X2))){\unicdbdjdcd}\\
({\unicdcdadad} X6 .  (m2\_funct\_2~X6~(k3\_qc\_lang1~X2)~(k3\_qc\_lang1~X2)~(\\
k9\_funct\_2~(k3\_qc\_lang1~X2)~(k3\_qc\_lang1~X2))){\unicdbdjdcd}(((k5\_domain\_1~\\
(k3\_cqc\_lang~X2)~(k1\_qc\_lang1~X2)~(k5\_finsub\_1~(k3\_qc\_lang1~X2))~\\
(k9\_funct\_2~(k3\_qc\_lang1~X2)~(k3\_qc\_lang1~X2))~(k6\_cqc\_lang~X2~\\
X3)~X4~X5~X6 \in k15\_cqc\_sim1~X2~X1){\unicdcdcdhd}(X0~(k6\_cqc\_lang~X2~X3)~X4~X5~X6)){\unicdbdjdcd}\\
(X0~X3~X4~X5~X6)))))){\unicdcdcdhd}(({\unicdcdadad} X3 .  (m2\_subset\_1~X3~(k9\_qc\_lang1~\\
X2)~(k3\_cqc\_lang~X2)){\unicdbdjdcd}({\unicdcdadad} X4 .  (m2\_subset\_1~X4~(k9\_qc\_lang1~\\
X2)~(k3\_cqc\_lang~X2)){\unicdbdjdcd}({\unicdcdadad} X5 .  (m1\_subset\_1~X5~(k1\_qc\_lang1~\\
X2)){\unicdbdjdcd}({\unicdcdadad} X6 .  (m1\_subset\_1~X6~(k5\_finsub\_1~(k3\_qc\_lang1~X2))){\unicdbdjdcd}\\
({\unicdcdadad} X7 .  (m2\_funct\_2~X7~(k3\_qc\_lang1~X2)~(k3\_qc\_lang1~X2)~(\\
k9\_funct\_2~(k3\_qc\_lang1~X2)~(k3\_qc\_lang1~X2))){\unicdbdjdcd}(((k5\_domain\_1~\\
(k3\_cqc\_lang~X2)~(k1\_qc\_lang1~X2)~(k5\_finsub\_1~(k3\_qc\_lang1~X2))~\\
(k9\_funct\_2~(k3\_qc\_lang1~X2)~(k3\_qc\_lang1~X2))~(k7\_cqc\_lang~X2~\\
X3~X4)~X5~X6~X7 \in k15\_cqc\_sim1~X2~X1){\unicdcdcdhd}(X0~(k7\_cqc\_lang~X2~X3~X4)~X5~X6~\\
X7)){\unicdbdjdcd}((X0~X3~X5~X6~X7){\unicdcdcdhd}(X0~X4~(k30\_qc\_lang1~X2~X5~(k7\_cqc\_sim1~X2~\\
X3))~X6~X7)))))))){\unicdcdcdhd}({\unicdcdadad} X3 .  (m2\_subset\_1~X3~(k9\_qc\_lang1~X2)~\\
(k3\_cqc\_lang~X2)){\unicdbdjdcd}({\unicdcdadad} X4 .  (m2\_subset\_1~X4~(k2\_qc\_lang1~X2)~\\
(k3\_qc\_lang1~X2)){\unicdbdjdcd}({\unicdcdadad} X5 .  (m1\_subset\_1~X5~(k1\_qc\_lang1~X2)){\unicdbdjdcd}\\
({\unicdcdadad} X6 .  (m1\_subset\_1~X6~(k5\_finsub\_1~(k3\_qc\_lang1~X2))){\unicdbdjdcd}\\
({\unicdcdadad} X7 .  (m2\_funct\_2~X7~(k3\_qc\_lang1~X2)~(k3\_qc\_lang1~X2)~(\\
k9\_funct\_2~(k3\_qc\_lang1~X2)~(k3\_qc\_lang1~X2))){\unicdbdjdcd}(((k5\_domain\_1~\\
(k3\_cqc\_lang~X2)~(k1\_qc\_lang1~X2)~(k5\_finsub\_1~(k3\_qc\_lang1~X2))~\\
(k9\_funct\_2~(k3\_qc\_lang1~X2)~(k3\_qc\_lang1~X2))~(k11\_cqc\_lang~\\
X2~X4~X3)~X5~X6~X7 \in k15\_cqc\_sim1~X2~X1){\unicdcdcdhd}(X0~(k11\_cqc\_lang~X2~X4~X3)~\\
X5~X6~X7)){\unicdbdjdcd}(X0~X3~(k28\_qc\_lang1~X2~X5)~(k2\_xboole\_0~X6~(k6\_domain\_1~\\
(k3\_qc\_lang1~X2)~X4))~(k1\_funct\_4~X7~(k16\_funcop\_1~X4~(k2\_qc\_lang3~\\
X2~X5))))))))))))){\unicdbdjdcd}({\unicdcdadad} X3 .  (m2\_subset\_1~X3~(k9\_qc\_lang1~\\
X2)~(k3\_cqc\_lang~X2)){\unicdbdjdcd}({\unicdcdadad} X4 .  (m1\_subset\_1~X4~(k1\_qc\_lang1~\\
X2)){\unicdbdjdcd}({\unicdcdadad} X5 .  (m1\_subset\_1~X5~(k5\_finsub\_1~(k3\_qc\_lang1~X2))){\unicdbdjdcd}\\
({\unicdcdadad} X6 .  (m2\_funct\_2~X6~(k3\_qc\_lang1~X2)~(k3\_qc\_lang1~X2)~(\\
k9\_funct\_2~(k3\_qc\_lang1~X2)~(k3\_qc\_lang1~X2))){\unicdbdjdcd}((k5\_domain\_1~\\
(k3\_cqc\_lang~X2)~(k1\_qc\_lang1~X2)~(k5\_finsub\_1~(k3\_qc\_lang1~X2))~\\
(k9\_funct\_2~(k3\_qc\_lang1~X2)~(k3\_qc\_lang1~X2))~X3~X4~X5~X6 \in k15\_cqc\_sim1~\\
X2~X1){\unicdbdjdcd}(X0~X3~X4~X5~X6)))))))\end{array}
\label{hyp:dhgdpfdgbhdgpfdhjgngbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((m1\_qc\_lang1~X0){\unicdcdcdhd}((m1\_subset\_1~\\
X1~(k9\_qc\_lang1~X0)){\unicdcdcdhd}(m1\_subset\_1~X2~(k9\_qc\_lang1~X0)))){\unicdbdjdcd}(r2\_qc\_lang2~\\
X0~X1~X1)\end{array}
\label{hyp:chfgggmgfgihjgghjgehjhpfchcdpfbhdgpfmgbgoghgcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~X0)))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m2\_subset\_1~\\
X2~X0~X1){\unicdbdjded}(m1\_subset\_1~X2~X1))\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpfngcdpfdhfhcgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((m1\_qc\_lang1~X0){\unicdcdcdhd}((m1\_subset\_1~\\
X1~(k3\_cqc\_lang~X0)){\unicdcdcdhd}(m1\_subset\_1~X2~(k3\_cqc\_lang~X0)))){\unicdbdjdcd}(k7\_cqc\_lang~\\
X0~X1~X2=k14\_qc\_lang1~X0~X1~X2)\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpflghdpfdgbhdgpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((m1\_qc\_lang1~X0){\unicdcdcdhd}((m1\_subset\_1~\\
X1~(k3\_qc\_lang1~X0)){\unicdcdcdhd}(m1\_subset\_1~X2~(k3\_cqc\_lang~X0)))){\unicdbdjdcd}(k11\_cqc\_lang~\\
X0~X1~X2=k15\_qc\_lang1~X0~X1~X2)\end{array}
\label{hyp:chfgegfgggjgogjgehjgpgogpflgbdbdpfdgbhdgpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{m1\_qc\_lang1}~{X0}})}{\unicdbdjdcd}{({\preoh{{{v1\_xboole\_0}~{({{k3\_qc\_lang1}~{X0}})}}}})}}}\label{hyp:ggdgddpfbhdgpfmgbgoghgbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{m1\_qc\_lang1}~{X0}})}{\unicdbdjdcd}{({\preoh{{{v1\_xboole\_0}~{({{k3\_cqc\_lang}~{X0}})}}}})}}}\label{hyp:ggdgcdpfdgbhdgpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}\\
(m1\_subset\_1~X1~(k1\_zfmisc\_1~X0)))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m2\_subset\_1~\\
X2~X0~X1){\unicdbdjdcd}(m1\_subset\_1~X2~X0))\end{array}
\label{hyp:egehpfngcdpfdhfhcgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((m1\_qc\_lang1~X0){\unicdcdcdhd}(m1\_subset\_1~X1~(k3\_cqc\_lang~\\
X0))){\unicdbdjdcd}(m2\_subset\_1~(k6\_cqc\_lang~X0~X1)~(k9\_qc\_lang1~X0)~(k3\_cqc\_lang~\\
X0))\end{array}
\label{hyp:egehpflggdpfdgbhdgpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_qc\_lang1~X0){\unicdbdjdcd}(m1\_subset\_1~(k3\_qc\_lang1~X0)~(k1\_zfmisc\_1~\\
(k2\_qc\_lang1~X0)))\end{array}
\label{hyp:egehpflgddpfbhdgpfmgbgoghgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_qc\_lang1~X0){\unicdbdjdcd}(m1\_subset\_1~(k3\_cqc\_lang~X0)~(k1\_zfmisc\_1~\\
(k9\_qc\_lang1~X0)))\end{array}
\label{hyp:egehpflgddpfdgbhdgpfmgbgoghg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((m1\_qc\_lang1~X0){\unicdcdcdhd}((m1\_subset\_1~\\
X1~(k3\_qc\_lang1~X0)){\unicdcdcdhd}(m1\_subset\_1~X2~(k9\_qc\_lang1~X0)))){\unicdbdjdcd}(m1\_subset\_1~\\
(k15\_qc\_lang1~X0~X1~X2)~(k9\_qc\_lang1~X0))\end{array}
\label{hyp:egehpflgbdfdpfbhdgpfmgbgoghgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((m1\_qc\_lang1~X0){\unicdcdcdhd}((m1\_subset\_1~\\
X1~(k9\_qc\_lang1~X0)){\unicdcdcdhd}(m1\_subset\_1~X2~(k9\_qc\_lang1~X0)))){\unicdbdjdcd}(m1\_subset\_1~\\
(k14\_qc\_lang1~X0~X1~X2)~(k9\_qc\_lang1~X0))\end{array}
\label{hyp:egehpflgbdedpfbhdgpfmgbgoghgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
X0)){\unicdbdjdcd}(v1\_xboole\_0~X1))\end{array}
\label{hyp:dgdgbdpfdhfhcgdhfgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehddfdpfdgbhdgpfdhjgngbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m1\_qc\_lang1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m2\_subset\_1~X1~(k9\_qc\_lang1~\\
X0)~(k3\_cqc\_lang~X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  (m2\_subset\_1~X2~(k9\_qc\_lang1~\\
X0)~(k3\_cqc\_lang~X0)){\unicdbdjdcd}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~(k1\_qc\_lang1~\\
X0)){\unicdbdjdcd}({\unicdcdadad} X4 .  (m1\_subset\_1~X4~(k5\_finsub\_1~(k3\_qc\_lang1~X0))){\unicdbdjdcd}\\
({\unicdcdadad} X5 .  (m2\_funct\_2~X5~(k3\_qc\_lang1~X0)~(k3\_qc\_lang1~X0)~(\\
k9\_funct\_2~(k3\_qc\_lang1~X0)~(k3\_qc\_lang1~X0))){\unicdbdjdcd}((k5\_domain\_1~\\
(k3\_cqc\_lang~X0)~(k1\_qc\_lang1~X0)~(k5\_finsub\_1~(k3\_qc\_lang1~X0))~\\
(k9\_funct\_2~(k3\_qc\_lang1~X0)~(k3\_qc\_lang1~X0))~X2~X3~X4~X5 \in k15\_cqc\_sim1~\\
X0~X1){\unicdbdjdcd}(r2\_qc\_lang2~X0~X2~X1)))))))\end{array}$$
\end{theorem}
\end{document}
