\documentclass{article}
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\newtheorem{conjecture}{Conjecture}
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\begin{document}
\title{t9\_valuat\_1 (TMah4K1HYdkM8tzxyyQ2i2q15rB1xdVjBHR)}
\maketitle
Let $ m1\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_xboole\_0 : {{\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\_valuat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ r2\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ be given.
Let $ k2\_valuat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_margrel1 : {\iota}$ be given.
Let $ k8\_valuat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k6\_cqc\_lang : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k15\_margrel1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k5\_cqc\_lang : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_margrel1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k8\_margrel1 : {\iota}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ v5\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k3\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v3\_card\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k6\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k8\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_cqc\_lang : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k5\_valuat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}$ be given.
Let $ k7\_valuat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}$ be given.
Let $ k7\_cqc\_lang : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k16\_margrel1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k11\_cqc\_lang : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k3\_valuat\_1 : {{\iota}{\unicdbdjdcd}{{\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 .  (m2\_subset\_1~X1~(k9\_qc\_lang1~\\
X0)~(k3\_cqc\_lang~X0)){\unicdbdjdcd}({\unicdcdadad} X2 .  (\preoh v1\_xboole\_0~X2){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
(m1\_valuat\_1~X3~X0~X2){\unicdbdjdcd}((r2\_funct\_2~(k2\_valuat\_1~X0~X2)~k6\_margrel1~\\
(k8\_valuat\_1~X0~X2~X3~(k5\_cqc\_lang~X0))~(k1\_margrel1~k6\_margrel1~\\
(k2\_valuat\_1~X0~X2)~k8\_margrel1)){\unicdcdcdhd}(({\unicdcdadad} X4 .  (m1\_subset\_1~\\
X4~k5\_numbers){\unicdbdjdcd}({\unicdcdadad} X5 .  ((v5\_relat\_1~X5~(k3\_qc\_lang1~X0)){\unicdcdcdhd}\\
((v3\_card\_1~X5~X4){\unicdcdcdhd}(m2\_finseq\_1~X5~(k2\_qc\_lang1~X0)))){\unicdbdjdcd}({\unicdcdadad} X6 .  \\
(m2\_subset\_1~X6~(k6\_qc\_lang1~X0)~(k8\_qc\_lang1~X0~X4)){\unicdbdjdcd}(r2\_funct\_2~\\
(k2\_valuat\_1~X0~X2)~k6\_margrel1~(k8\_valuat\_1~X0~X2~X3~(k4\_cqc\_lang~\\
X4~X0~X6~X5))~(k5\_valuat\_1~X0~X2~X4~X5~(k7\_valuat\_1~X0~X2~X4~X3~X6)))))){\unicdcdcdhd}\\
(({\unicdcdadad} X4 .  (m2\_subset\_1~X4~(k9\_qc\_lang1~X0)~(k3\_cqc\_lang~X0)){\unicdbdjdcd}\\
(r2\_funct\_2~(k2\_valuat\_1~X0~X2)~k6\_margrel1~(k8\_valuat\_1~X0~X2~\\
X3~(k6\_cqc\_lang~X0~X4))~(k15\_margrel1~(k2\_valuat\_1~X0~X2)~(k8\_valuat\_1~\\
X0~X2~X3~X4)))){\unicdcdcdhd}(({\unicdcdadad} X4 .  (m2\_subset\_1~X4~(k9\_qc\_lang1~X0)~(\\
k3\_cqc\_lang~X0)){\unicdbdjdcd}(r2\_funct\_2~(k2\_valuat\_1~X0~X2)~k6\_margrel1~\\
(k8\_valuat\_1~X0~X2~X3~(k7\_cqc\_lang~X0~X1~X4))~(k16\_margrel1~(k2\_valuat\_1~\\
X0~X2)~(k8\_valuat\_1~X0~X2~X3~X1)~(k8\_valuat\_1~X0~X2~X3~X4)))){\unicdcdcdhd}({\unicdcdadad} X4 .  \\
(m2\_subset\_1~X4~(k2\_qc\_lang1~X0)~(k3\_qc\_lang1~X0)){\unicdbdjdcd}(r2\_funct\_2~\\
(k2\_valuat\_1~X0~X2)~k6\_margrel1~(k8\_valuat\_1~X0~X2~X3~(k11\_cqc\_lang~\\
X0~X4~X1))~(k3\_valuat\_1~X0~X2~X4~(k8\_valuat\_1~X0~X2~X3~X1)))))))))))\end{array}
\label{hyp:mgbdadpfghbgmgfhbgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehjdpfghbgmgfhbgehpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m1\_qc\_lang1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}(\\
{\unicdcdadad} X2 .  (m2\_subset\_1~X2~(k9\_qc\_lang1~X0)~(k3\_cqc\_lang~X0)){\unicdbdjdcd}\\
({\unicdcdadad} X3 .  (m1\_valuat\_1~X3~X0~X1){\unicdbdjdcd}(r2\_funct\_2~(k2\_valuat\_1~X0~\\
X1)~k6\_margrel1~(k8\_valuat\_1~X0~X1~X3~(k6\_cqc\_lang~X0~X2))~(k15\_margrel1~\\
(k2\_valuat\_1~X0~X1)~(k8\_valuat\_1~X0~X1~X3~X2))))))\end{array}$$
\end{theorem}
\end{document}
