\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{t17\_cgames\_1 (TMUCjPbKcLfd77Ch1PU9mTyuVbye3YgYBiQ)}
\maketitle
Let $ v2\_cgames\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k8\_cgames\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ l1\_cgames\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_cgames\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v3\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k2\_cgames\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v2\_cgames\_1}~{X0}})}{\unicdbdjdcd}{({{({{v1\_cgames\_1}~{X0}})}{\unicdcdcdhd}{({{l1\_cgames\_1}~{X0}})}})}}}\label{hyp:ehedpfdghgbgngfgdhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v3\_ordinal1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  (v2\_cgames\_1~\\
X2){\unicdbdjdcd}(((X2 \in k2\_cgames\_1~X1){\unicdcdcdhd}(X0 \in k8\_cgames\_1~X2)){\unicdbdjdcd}(X0 \in k2\_cgames\_1~\\
X1)))\end{array}
\label{hyp:ehbdadpfdghgbgngfgdhpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v2\_cgames\_1~X0){\unicdbdjded}({\unicdcdaddd} X1 .  (v3\_ordinal1~X1){\unicdcdcdhd}(X0 \in \\
k2\_cgames\_1~X1))\end{array}
\label{hyp:egddpfdghgbgngfgdhpfbd}
\end{equation}
\begin{theorem}\label{thm:ehbdhdpfdghgbgngfgdhpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v2\_cgames\_1~X1){\unicdbdjdcd}((X0 \in k8\_cgames\_1~X1){\unicdbdjdcd}\\
((v2\_cgames\_1~X0){\unicdcdcdhd}(l1\_cgames\_1~X0)))\end{array}$$
\end{theorem}
\end{document}
