\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{t123\_group\_9 (TMYyfkmST7fwmMUdmmJaXxAzgup2VEh2Rym)}
\maketitle
Let $ v7\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_nat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ k14\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_funct\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k7\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v7\_ordinal1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  (v7\_ordinal1~\\
X2){\unicdbdjdcd}(\preoh (r1\_tarski~X0~(k2\_finseq\_1~(k1\_nat\_1~X1~np\_\_1))){\unicdcdcdhd}((X2 \in \\
k2\_finseq\_1~(k1\_nat\_1~X1~np\_\_1)){\unicdcdcdhd}((\preoh X2 \in X0){\unicdcdcdhd}({\unicdcdadad} X3 .  \preoh (k14\_finseq\_1~\\
X3=k3\_relat\_1~(k14\_finseq\_1~X0)~(k2\_funct\_1~(k14\_finseq\_1~(k7\_subset\_1~\\
k5\_numbers~(k2\_finseq\_1~(k1\_nat\_1~X1~np\_\_1))~(k1\_tarski~X2))))){\unicdcdcdhd}\\
(r1\_tarski~X3~(k2\_finseq\_1~X1)))))))\end{array}
\label{hyp:mgbdhdbdpfhgchpgfhahpfjd}
\end{equation}
\begin{theorem}\label{thm:ehbdcdddpfhgchpgfhahpfjd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v7\_ordinal1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  (v7\_ordinal1~\\
X2){\unicdbdjdcd}(\preoh (r1\_tarski~X0~(k2\_finseq\_1~(k1\_nat\_1~X2~np\_\_1))){\unicdcdcdhd}((X1 \in \\
k2\_finseq\_1~(k1\_nat\_1~X2~np\_\_1)){\unicdcdcdhd}((\preoh X1 \in X0){\unicdcdcdhd}({\unicdcdadad} X3 .  \preoh (k14\_finseq\_1~\\
X3=k3\_relat\_1~(k14\_finseq\_1~X0)~(k2\_funct\_1~(k14\_finseq\_1~(k7\_subset\_1~\\
k5\_numbers~(k2\_finseq\_1~(k1\_nat\_1~X2~np\_\_1))~(k1\_tarski~X1))))){\unicdcdcdhd}\\
(r1\_tarski~X3~(k2\_finseq\_1~X2)))))))\end{array}$$
\end{theorem}
\end{document}
