\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{t16\_cgames\_1 (TMZLejzNpEhE3FRRpuoN3xuGjnsdoPA1few)}
\maketitle
Let $ v2\_cgames\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k8\_cgames\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k9\_cgames\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v2\_cgames\_1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v2\_cgames\_1~X1){\unicdbdjdcd}((\\
X0 \in k8\_cgames\_1~X1){\unicdbdjdcd}(k9\_cgames\_1~X0 \in k9\_cgames\_1~X1)))\end{array}
\label{hyp:ehbdedpfdghgbgngfgdhpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{\unicdcdadad} X1 .  {{({{X0} \in {X1}})}{\unicdbdjdcd}{({\preoh{{{X1} \in {X0}}}})}}}}\label{hyp:bgogehjgdhjhngngfgehchjhpfchcdpfigjgegegfgog}
\end{equation}
\begin{theorem}\label{thm:ehbdgdpfdghgbgngfgdhpfbd}
${{\unicdcdadad} X0 .  {{({{v2\_cgames\_1}~{X0}})}{\unicdbdjdcd}{({\preoh{{{X0} \in {{k8\_cgames\_1}~{X0}}}}})}}}$.
\end{theorem}
\end{document}
