\documentclass{article}
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\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\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
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\begin{document}
\title{t34\_funct\_6 (TMYUnEEhTJghutpDSti7XmhuHbSaGVqh7Kh)}
\maketitle
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_funct\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k9\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_funct\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_funct\_6 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_funct\_5 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_binop\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k10\_xtuple\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k8\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_funct\_6 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((v1\_relat\_1~X2){\unicdcdcdhd}(v1\_funct\_1~\\
X2)){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v1\_relat\_1~X3){\unicdcdcdhd}(v1\_funct\_1~X3)){\unicdbdjdcd}(((X0 \in k9\_xtuple\_0~\\
X2){\unicdcdcdhd}((X3=k1\_funct\_1~X2~X0){\unicdcdcdhd}(X1 \in k9\_xtuple\_0~X3))){\unicdbdjdcd}((k4\_tarski~\\
X0~X1 \in k9\_xtuple\_0~(k2\_funct\_5~X2)){\unicdcdcdhd}((k1\_binop\_1~(k2\_funct\_5~\\
X2)~X0~X1=k1\_funct\_1~X3~X1){\unicdcdcdhd}(k1\_funct\_1~X3~X1 \in k10\_xtuple\_0~(k2\_funct\_5~\\
X2))))))\end{array}
\label{hyp:ehddidpfggfhogdgehpffd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((v1\_relat\_1~X1){\unicdcdcdhd}(v1\_funct\_1~X1)){\unicdbdjdcd}((X0 \in \\
k9\_xtuple\_0~(k6\_funct\_6~X1)){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v1\_relat\_1~X2){\unicdcdcdhd}(\\
v1\_funct\_1~X2)){\unicdbdjdcd}((X2 \in k10\_xtuple\_0~X1){\unicdbdjdcd}(X0 \in k9\_xtuple\_0~X2))))\end{array}
\label{hyp:ehddcdpfggfhogdgehpfgd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((v1\_relat\_1~X1){\unicdcdcdhd}(v1\_funct\_1~X1)){\unicdbdjdcd}({\unicdcdadad} X2 .  \\
((v1\_relat\_1~X2){\unicdcdcdhd}(v1\_funct\_1~X2)){\unicdbdjdcd}(((X0 \in k9\_xtuple\_0~(k6\_funct\_6~\\
X1)){\unicdcdcdhd}(X2=k1\_funct\_1~(k6\_funct\_6~X1)~X0)){\unicdbdjdcd}((k9\_xtuple\_0~X2=k8\_relat\_1~\\
X1~(k1\_funct\_6~(k10\_xtuple\_0~X1))){\unicdcdcdhd}({\unicdcdadad} X3 .  (X3 \in k9\_xtuple\_0~\\
X2){\unicdbdjdcd}((k4\_tarski~X3~X0 \in k9\_xtuple\_0~(k2\_funct\_5~X1)){\unicdcdcdhd}(k1\_funct\_1~\\
X2~X3=k1\_binop\_1~(k2\_funct\_5~X1)~X3~X0))))))\end{array}
\label{hyp:ehddbdpfggfhogdgehpfgd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((v1\_relat\_1~X1){\unicdcdcdhd}(v1\_funct\_1~X1)){\unicdbdjdcd}((X0 \in \\
k8\_relat\_1~X1~(k1\_funct\_6~(k10\_xtuple\_0~X1))){\unicdbdjded}((X0 \in k9\_xtuple\_0~\\
X1){\unicdcdcdhd}((v1\_relat\_1~(k1\_funct\_1~X1~X0)){\unicdcdcdhd}(v1\_funct\_1~(k1\_funct\_1~\\
X1~X0)))))\end{array}
\label{hyp:ehbdjdpfggfhogdgehpfgd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((v1\_relat\_1~X0){\unicdcdcdhd}(v1\_funct\_1~X0)){\unicdbdjdcd}({\unicdcdadad} X1 .  (X1=\\
k10\_xtuple\_0~X0){\unicdbdjded}({\unicdcdadad} X2 .  (X2 \in X1){\unicdbdjded}({\unicdcdaddd} X3 .  (X3 \in k9\_xtuple\_0~\\
X0){\unicdcdcdhd}(X2=k1\_funct\_1~X0~X3))))\end{array}
\label{hyp:egddpfggfhogdgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehddedpfggfhogdgehpfgd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((v1\_relat\_1~X2){\unicdcdcdhd}(v1\_funct\_1~\\
X2)){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v1\_relat\_1~X3){\unicdcdcdhd}(v1\_funct\_1~X3)){\unicdbdjdcd}({\unicdcdadad} X4 .  \\
((v1\_relat\_1~X4){\unicdcdcdhd}(v1\_funct\_1~X4)){\unicdbdjdcd}(((X0 \in k9\_xtuple\_0~X2){\unicdcdcdhd}((\\
X3=k1\_funct\_1~X2~X0){\unicdcdcdhd}((X1 \in k9\_xtuple\_0~(k6\_funct\_6~X2)){\unicdcdcdhd}(X4=\\
k1\_funct\_1~(k6\_funct\_6~X2)~X1)))){\unicdbdjdcd}(k1\_funct\_1~X3~X1=k1\_funct\_1~\\
X4~X0))))\end{array}$$
\end{theorem}
\end{document}
