\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{t34\_cqc\_the1 (TMFb5CwwaYqpKXGZyXNMzj16vt4vX8HSaZD)}
\maketitle
Let $ m1\_qc\_lang1 : {{\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 $ m2\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k9\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_cqc\_the1 : {\iota}$ be given.
Let $ r2\_cqc\_the1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k3\_cqc\_the1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_cqc\_the1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k13\_cqc\_lang : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k24\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k8\_cqc\_lang : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\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 $ k5\_cqc\_lang : {{\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 .  (m2\_subset\_1~X2~(k2\_qc\_lang1~X0)~(k3\_qc\_lang1~\\
X0)){\unicdbdjdcd}({\unicdcdadad} X3 .  (m2\_subset\_1~X3~(k2\_qc\_lang1~X0)~(k3\_qc\_lang1~\\
X0)){\unicdbdjdcd}({\unicdcdadad} X4 .  (m1\_subset\_1~X4~(k1\_zfmisc\_1~(k3\_cqc\_lang~X0))){\unicdbdjdcd}\\
(((k13\_cqc\_lang~X0~X1~X2 \in k3\_cqc\_lang~X0){\unicdcdcdhd}((k13\_cqc\_lang~X0~X1~\\
X3 \in k3\_cqc\_lang~X0){\unicdcdcdhd}(k13\_cqc\_lang~X0~X1~X2 \in ReplSep~(toset~({\uniddcgcg} X5 : \\
\iota .  m2\_subset\_1~X5~(k9\_qc\_lang1~X0)~(k3\_cqc\_lang~X0)))~({\uniddcgcg} X5 : \\
\iota .  {\unicdcdaddd} X6 .  (m2\_finseq\_1~X6~(k2\_zfmisc\_1~(k3\_cqc\_lang~X0)~\\
k2\_cqc\_the1)){\unicdcdcdhd}((r2\_cqc\_the1~X0~X4~X6){\unicdcdcdhd}(k3\_cqc\_the1~X0~X6=X5)))~\\
({\uniddcgcg} X5 : \iota .  X5)))){\unicdbdjdcd}((X2 \in k24\_qc\_lang1~X0~X1){\unicdcdcdid}(k13\_cqc\_lang~\\
X0~X1~X3 \in ReplSep~(toset~({\uniddcgcg} X5 : \iota .  m2\_subset\_1~X5~(k9\_qc\_lang1~\\
X0)~(k3\_cqc\_lang~X0)))~({\uniddcgcg} X5 : \iota .  {\unicdcdaddd} X6 .  (m2\_finseq\_1~X6~\\
(k2\_zfmisc\_1~(k3\_cqc\_lang~X0)~k2\_cqc\_the1)){\unicdcdcdhd}((r2\_cqc\_the1~X0~\\
X4~X6){\unicdcdcdhd}(k3\_cqc\_the1~X0~X6=X5)))~({\uniddcgcg} X5 : \iota .  X5))))))))\end{array}
\label{hyp:mgfdadpfdgbhdgpfehigfgbd}
\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}({\unicdcdadad} X3 .  (m2\_subset\_1~X3~(k2\_qc\_lang1~\\
X0)~(k3\_qc\_lang1~X0)){\unicdbdjdcd}({\unicdcdadad} X4 .  (m1\_subset\_1~X4~(k1\_zfmisc\_1~\\
(k3\_cqc\_lang~X0))){\unicdbdjdcd}((k8\_cqc\_lang~X0~X1~X2 \in ReplSep~(toset~({\uniddcgcg} X5 : \\
\iota .  m2\_subset\_1~X5~(k9\_qc\_lang1~X0)~(k3\_cqc\_lang~X0)))~({\uniddcgcg} X5 : \\
\iota .  {\unicdcdaddd} X6 .  (m2\_finseq\_1~X6~(k2\_zfmisc\_1~(k3\_cqc\_lang~X0)~\\
k2\_cqc\_the1)){\unicdcdcdhd}((r2\_cqc\_the1~X0~X4~X6){\unicdcdcdhd}(k3\_cqc\_the1~X0~X6=X5)))~\\
({\uniddcgcg} X5 : \iota .  X5)){\unicdbdjdcd}((X3 \in k24\_qc\_lang1~X0~X1){\unicdcdcdid}(k8\_cqc\_lang~X0~X1~\\
(k11\_cqc\_lang~X0~X3~X2) \in ReplSep~(toset~({\uniddcgcg} X5 : \iota .  m2\_subset\_1~\\
X5~(k9\_qc\_lang1~X0)~(k3\_cqc\_lang~X0)))~({\uniddcgcg} X5 : \iota .  {\unicdcdaddd} X6 .  \\
(m2\_finseq\_1~X6~(k2\_zfmisc\_1~(k3\_cqc\_lang~X0)~k2\_cqc\_the1)){\unicdcdcdhd}\\
((r2\_cqc\_the1~X0~X4~X6){\unicdcdcdhd}(k3\_cqc\_the1~X0~X6=X5)))~({\uniddcgcg} X5 : \iota .  \\
X5))))))))\end{array}
\label{hyp:mgedjdpfdgbhdgpfehigfgbd}
\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}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~(k1\_zfmisc\_1~\\
(k3\_cqc\_lang~X0))){\unicdbdjdcd}(k8\_cqc\_lang~X0~(k11\_cqc\_lang~X0~X2~X1)~X1 \in \\
ReplSep~(toset~({\uniddcgcg} X4 : \iota .  m2\_subset\_1~X4~(k9\_qc\_lang1~X0)~(k3\_cqc\_lang~\\
X0)))~({\uniddcgcg} X4 : \iota .  {\unicdcdaddd} X5 .  (m2\_finseq\_1~X5~(k2\_zfmisc\_1~(k3\_cqc\_lang~\\
X0)~k2\_cqc\_the1)){\unicdcdcdhd}((r2\_cqc\_the1~X0~X3~X5){\unicdcdcdhd}(k3\_cqc\_the1~X0~X5=\\
X4)))~({\uniddcgcg} X4 : \iota .  X4)))))\end{array}
\label{hyp:mgedidpfdgbhdgpfehigfgbd}
\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}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~(k1\_zfmisc\_1~\\
(k3\_cqc\_lang~X0))){\unicdbdjdcd}(((X1 \in ReplSep~(toset~({\uniddcgcg} X4 : \iota .  m2\_subset\_1~\\
X4~(k9\_qc\_lang1~X0)~(k3\_cqc\_lang~X0)))~({\uniddcgcg} X4 : \iota .  {\unicdcdaddd} X5 .  \\
(m2\_finseq\_1~X5~(k2\_zfmisc\_1~(k3\_cqc\_lang~X0)~k2\_cqc\_the1)){\unicdcdcdhd}\\
((r2\_cqc\_the1~X0~X3~X5){\unicdcdcdhd}(k3\_cqc\_the1~X0~X5=X4)))~({\uniddcgcg} X4 : \iota .  \\
X4)){\unicdcdcdhd}(k8\_cqc\_lang~X0~X1~X2 \in ReplSep~(toset~({\uniddcgcg} X4 : \iota .  m2\_subset\_1~\\
X4~(k9\_qc\_lang1~X0)~(k3\_cqc\_lang~X0)))~({\uniddcgcg} X4 : \iota .  {\unicdcdaddd} X5 .  \\
(m2\_finseq\_1~X5~(k2\_zfmisc\_1~(k3\_cqc\_lang~X0)~k2\_cqc\_the1)){\unicdcdcdhd}\\
((r2\_cqc\_the1~X0~X3~X5){\unicdcdcdhd}(k3\_cqc\_the1~X0~X5=X4)))~({\uniddcgcg} X4 : \iota .  \\
X4))){\unicdbdjdcd}(X2 \in ReplSep~(toset~({\uniddcgcg} X4 : \iota .  m2\_subset\_1~X4~(k9\_qc\_lang1~\\
X0)~(k3\_cqc\_lang~X0)))~({\uniddcgcg} X4 : \iota .  {\unicdcdaddd} X5 .  (m2\_finseq\_1~X5~\\
(k2\_zfmisc\_1~(k3\_cqc\_lang~X0)~k2\_cqc\_the1)){\unicdcdcdhd}((r2\_cqc\_the1~X0~\\
X3~X5){\unicdcdcdhd}(k3\_cqc\_the1~X0~X5=X4)))~({\uniddcgcg} X4 : \iota .  X4))))))\end{array}
\label{hyp:mgedhdpfdgbhdgpfehigfgbd}
\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}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~(k1\_zfmisc\_1~\\
(k3\_cqc\_lang~X0))){\unicdbdjdcd}(k8\_cqc\_lang~X0~(k7\_cqc\_lang~X0~X1~X2)~(k7\_cqc\_lang~\\
X0~X2~X1) \in ReplSep~(toset~({\uniddcgcg} X4 : \iota .  m2\_subset\_1~X4~(k9\_qc\_lang1~\\
X0)~(k3\_cqc\_lang~X0)))~({\uniddcgcg} X4 : \iota .  {\unicdcdaddd} X5 .  (m2\_finseq\_1~X5~\\
(k2\_zfmisc\_1~(k3\_cqc\_lang~X0)~k2\_cqc\_the1)){\unicdcdcdhd}((r2\_cqc\_the1~X0~\\
X3~X5){\unicdcdcdhd}(k3\_cqc\_the1~X0~X5=X4)))~({\uniddcgcg} X4 : \iota .  X4)))))\end{array}
\label{hyp:mgedgdpfdgbhdgpfehigfgbd}
\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}({\unicdcdadad} X3 .  (m2\_subset\_1~X3~(k9\_qc\_lang1~\\
X0)~(k3\_cqc\_lang~X0)){\unicdbdjdcd}({\unicdcdadad} X4 .  (m1\_subset\_1~X4~(k1\_zfmisc\_1~\\
(k3\_cqc\_lang~X0))){\unicdbdjdcd}(k8\_cqc\_lang~X0~(k8\_cqc\_lang~X0~X1~X2)~(k8\_cqc\_lang~\\
X0~(k6\_cqc\_lang~X0~(k7\_cqc\_lang~X0~X2~X3))~(k6\_cqc\_lang~X0~(k7\_cqc\_lang~\\
X0~X1~X3))) \in ReplSep~(toset~({\uniddcgcg} X5 : \iota .  m2\_subset\_1~X5~(k9\_qc\_lang1~\\
X0)~(k3\_cqc\_lang~X0)))~({\uniddcgcg} X5 : \iota .  {\unicdcdaddd} X6 .  (m2\_finseq\_1~X6~\\
(k2\_zfmisc\_1~(k3\_cqc\_lang~X0)~k2\_cqc\_the1)){\unicdcdcdhd}((r2\_cqc\_the1~X0~\\
X4~X6){\unicdcdcdhd}(k3\_cqc\_the1~X0~X6=X5)))~({\uniddcgcg} X5 : \iota .  X5))))))\end{array}
\label{hyp:mgedfdpfdgbhdgpfehigfgbd}
\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}({\unicdcdadad} X3 .  (m1\_subset\_1~X3~(k1\_zfmisc\_1~\\
(k3\_cqc\_lang~X0))){\unicdbdjdcd}(k8\_cqc\_lang~X0~X1~(k8\_cqc\_lang~X0~(k6\_cqc\_lang~\\
X0~X1)~X2) \in ReplSep~(toset~({\uniddcgcg} X4 : \iota .  m2\_subset\_1~X4~(k9\_qc\_lang1~\\
X0)~(k3\_cqc\_lang~X0)))~({\uniddcgcg} X4 : \iota .  {\unicdcdaddd} X5 .  (m2\_finseq\_1~X5~\\
(k2\_zfmisc\_1~(k3\_cqc\_lang~X0)~k2\_cqc\_the1)){\unicdcdcdhd}((r2\_cqc\_the1~X0~\\
X3~X5){\unicdcdcdhd}(k3\_cqc\_the1~X0~X5=X4)))~({\uniddcgcg} X4 : \iota .  X4)))))\end{array}
\label{hyp:mgededpfdgbhdgpfehigfgbd}
\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 .  (m1\_subset\_1~X2~(k1\_zfmisc\_1~\\
(k3\_cqc\_lang~X0))){\unicdbdjdcd}(k8\_cqc\_lang~X0~(k8\_cqc\_lang~X0~(k6\_cqc\_lang~\\
X0~X1)~X1)~X1 \in ReplSep~(toset~({\uniddcgcg} X3 : \iota .  m2\_subset\_1~X3~(k9\_qc\_lang1~\\
X0)~(k3\_cqc\_lang~X0)))~({\uniddcgcg} X3 : \iota .  {\unicdcdaddd} X4 .  (m2\_finseq\_1~X4~\\
(k2\_zfmisc\_1~(k3\_cqc\_lang~X0)~k2\_cqc\_the1)){\unicdcdcdhd}((r2\_cqc\_the1~X0~\\
X2~X4){\unicdcdcdhd}(k3\_cqc\_the1~X0~X4=X3)))~({\uniddcgcg} X3 : \iota .  X3))))\end{array}
\label{hyp:mgedddpfdgbhdgpfehigfgbd}
\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}(k5\_cqc\_lang~X0 \in ReplSep~(toset~({\uniddcgcg} X2 : \iota .  \\
m2\_subset\_1~X2~(k9\_qc\_lang1~X0)~(k3\_cqc\_lang~X0)))~({\uniddcgcg} X2 : \iota .  \\
{\unicdcdaddd} X3 .  (m2\_finseq\_1~X3~(k2\_zfmisc\_1~(k3\_cqc\_lang~X0)~k2\_cqc\_the1)){\unicdcdcdhd}\\
((r2\_cqc\_the1~X0~X1~X3){\unicdcdcdhd}(k3\_cqc\_the1~X0~X3=X2)))~({\uniddcgcg} X2 : \iota .  \\
X2)))\end{array}
\label{hyp:mgedcdpfdgbhdgpfehigfgbd}
\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\_cqc\_the1~X1~X0){\unicdbdjded}((k5\_cqc\_lang~X0 \in X1){\unicdcdcdhd}\\
({\unicdcdadad} X2 .  (m2\_subset\_1~X2~(k9\_qc\_lang1~X0)~(k3\_cqc\_lang~X0)){\unicdbdjdcd}\\
({\unicdcdadad} X3 .  (m2\_subset\_1~X3~(k9\_qc\_lang1~X0)~(k3\_cqc\_lang~X0)){\unicdbdjdcd}\\
({\unicdcdadad} X4 .  (m2\_subset\_1~X4~(k9\_qc\_lang1~X0)~(k3\_cqc\_lang~X0)){\unicdbdjdcd}\\
({\unicdcdadad} X5 .  (m1\_subset\_1~X5~(k9\_qc\_lang1~X0)){\unicdbdjdcd}({\unicdcdadad} X6 .  (m2\_subset\_1~\\
X6~(k2\_qc\_lang1~X0)~(k3\_qc\_lang1~X0)){\unicdbdjdcd}({\unicdcdadad} X7 .  (m2\_subset\_1~\\
X7~(k2\_qc\_lang1~X0)~(k3\_qc\_lang1~X0)){\unicdbdjdcd}((k8\_cqc\_lang~X0~(k8\_cqc\_lang~\\
X0~(k6\_cqc\_lang~X0~X2)~X2)~X2 \in X1){\unicdcdcdhd}((k8\_cqc\_lang~X0~X2~(k8\_cqc\_lang~\\
X0~(k6\_cqc\_lang~X0~X2)~X3) \in X1){\unicdcdcdhd}((k8\_cqc\_lang~X0~(k8\_cqc\_lang~X0~\\
X2~X3)~(k8\_cqc\_lang~X0~(k6\_cqc\_lang~X0~(k7\_cqc\_lang~X0~X3~X4))~(k6\_cqc\_lang~\\
X0~(k7\_cqc\_lang~X0~X2~X4))) \in X1){\unicdcdcdhd}((k8\_cqc\_lang~X0~(k7\_cqc\_lang~\\
X0~X2~X3)~(k7\_cqc\_lang~X0~X3~X2) \in X1){\unicdcdcdhd}((((X2 \in X1){\unicdcdcdhd}(k8\_cqc\_lang~X0~\\
X2~X3 \in X1)){\unicdbdjdcd}(X3 \in X1)){\unicdcdcdhd}((k8\_cqc\_lang~X0~(k11\_cqc\_lang~X0~X6~X2)~X2 \in \\
X1){\unicdcdcdhd}(((k8\_cqc\_lang~X0~X2~X3 \in X1){\unicdbdjdcd}((X6 \in k24\_qc\_lang1~X0~X2){\unicdcdcdid}(k8\_cqc\_lang~\\
X0~X2~(k11\_cqc\_lang~X0~X6~X3) \in X1))){\unicdcdcdhd}(((k13\_cqc\_lang~X0~X5~X6 \in k3\_cqc\_lang~\\
X0){\unicdcdcdhd}((k13\_cqc\_lang~X0~X5~X7 \in k3\_cqc\_lang~X0){\unicdcdcdhd}(k13\_cqc\_lang~X0~\\
X5~X6 \in X1))){\unicdbdjdcd}((X6 \in k24\_qc\_lang1~X0~X5){\unicdcdcdid}(k13\_cqc\_lang~X0~X5~X7 \in X1)))))))))))))))))))\end{array}
\label{hyp:egbdpfdgbhdgpfehigfgbd}
\end{equation}
\begin{theorem}\label{thm:ehddedpfdgbhdgpfehigfgbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m1\_qc\_lang1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k3\_cqc\_lang~X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  (m1\_subset\_1~X2~(k1\_zfmisc\_1~\\
(k3\_cqc\_lang~X0))){\unicdbdjdcd}((X1=ReplSep~(toset~({\uniddcgcg} X3 : \iota .  m2\_subset\_1~\\
X3~(k9\_qc\_lang1~X0)~(k3\_cqc\_lang~X0)))~({\uniddcgcg} X3 : \iota .  {\unicdcdaddd} X4 .  \\
(m2\_finseq\_1~X4~(k2\_zfmisc\_1~(k3\_cqc\_lang~X0)~k2\_cqc\_the1)){\unicdcdcdhd}\\
((r2\_cqc\_the1~X0~X2~X4){\unicdcdcdhd}(k3\_cqc\_the1~X0~X4=X3)))~({\uniddcgcg} X3 : \iota .  \\
X3)){\unicdbdjdcd}(v1\_cqc\_the1~X1~X0))))\end{array}$$
\end{theorem}
\end{document}
